General Mathematics

1508 Submissions

[114] viXra:1508.0427 [pdf] submitted on 2015-08-31 06:24:58

Surfaces Family With Common Smarandache Asymptotic Curve According To Bishop Frame In Euclidean Space

Authors: Gülnur Şaffak Atalay, Emin Kasap
Comments: 16 Pages.

In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Bishop frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the asymptotic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache asymptotic curve.
Category: General Mathematics

[113] viXra:1508.0425 [pdf] submitted on 2015-08-31 03:45:02

Fusing Uncertain Knowledge and Evidence for Maritime Situational Awareness Via Markov Logic Networks

Authors: Lauro Snidaro, Ingrid Visentini, Karna Bryan
Comments: 17 Pages.

The concepts of event and anomaly are important building blocks for developing a situational picture of the observed environment. We here relate these concepts to the JDL fusion model and demonstrate the power of Markov Logic Networks (MLNs) for encoding uncertain knowledge and compute inferences according to observed evidence.
Category: General Mathematics

[112] viXra:1508.0424 [pdf] submitted on 2015-08-31 03:46:06

An Appraisal of Off-line Signature Verification Techniques

Authors: Abdul Salam Shah, M. N. A. Khan, Asadullah Shah
Comments: 9 Pages.

Biometrics is being commonly used nowadays for the identification and verification of humans everywhere in the world. In biometrics humans unique characteristics like palm, fingerprints, iris etc. are being used.
Category: General Mathematics

[111] viXra:1508.0423 [pdf] submitted on 2015-08-31 03:47:15

Developing a Monitoring System for Long-Distance Pipeline Leakage Incorporating Fusion of Conflicting Evidences

Authors: Desmond Adair, Hosam Emara-Shabaik
Comments: 12 Pages.

Quite often, during long-distance pipe leakage, critical decisions have to be made quickly and with as much certainty as possible using conflicting and uncertain sources of information. Key to providing quality decision options is an appropriate method of combining, or fusing, these heterogeneous evidence sources.
Category: General Mathematics

[110] viXra:1508.0422 [pdf] submitted on 2015-08-31 03:48:19

Grid Occupancy Estimation for Environment Perception Based on Belief Functions and PCR6

Authors: Julien Moras, Jean Dezert, Benjamin Pannetier
Comments: 13 Pages.

In this contribution, we propose to improve the grid map occupancy estimation method developed so far based on belief function modeling and the classical Dempster’s rule of combination. Grid map offers a useful representation of the perceived world for mobile robotics navigation.
Category: General Mathematics

[109] viXra:1508.0421 [pdf] submitted on 2015-08-31 03:51:13

Performance Evaluation of Fuzzy-Based Fusion Rules for Tracking Applications

Authors: A. Tchamova, J. Dezert
Comments: 9 Pages.

Abstract: The objective of this paper is to present and to evaluate the performance of particular fusion rules based on fuzzy T-Conorm/T-Norm operators for two tracking applications: (1) Tracking object's type changes, supporting the process of objects' identication (e.g. ghter against cargo, friendly aircraft against hostile ones), which, consequently is essential for improving the quality of generalized data association for targets' tracking; (2) Alarms identication and prioritization in terms of degree of danger relating to a set of a priori dened, out of the ordinary dangerous directions.
Category: General Mathematics

[108] viXra:1508.0420 [pdf] submitted on 2015-08-31 03:52:33

Dual-Complex Numbers and Their Holomorphic Functions

Authors: Farid Messelmi
Comments: 11 Pages.

The purpose of this paper is to contribute to development a general theory of dual-complex numbers. We start by de…ne the notion of dual- complex and their algebraic properties. In addition, we develop a simple mathematical method based on matrices, simplifying manipulation of dual-complex numbers. Inspired from complex analysis, we generalize the concept of holo- morphicity to dual-complex functions. Moreover, a general representation of holomorphic dual-complex functions has been obtained. Finally and as concrete examples, some usual complex functions have been generalized to the algebra of dual-complex numbers.
Category: General Mathematics

[107] viXra:1508.0417 [pdf] submitted on 2015-08-31 03:56:20

Creating Generalized and Hybrid Set and Library with Neutrosophy and Quad-stage Method

Authors: Fu Yuhua
Comments: 13 Pages.

Generalized and hybrid set can be created with neutrosophy and quad-stage method. Firstly the generalized and hybrid neutrosophic set is discussed. Based on this, the concepts of "problem set", "solution set", "principle set", "law set", "theory set", "formula set", and the like are presented;
Category: General Mathematics

[106] viXra:1508.0416 [pdf] submitted on 2015-08-31 03:57:31

Hypercomplex Neutrosophic Similarity Measure & Its Application in Multi-Criteria Dicision Making Problem

Authors: Kanika Mandal, Kajla Basu
Comments: 15 Pages.

Neutrosophic set is very useful to express uncertainty,impreciseness, incompleteness and inconsistency in a more general way.
Category: General Mathematics

[105] viXra:1508.0415 [pdf] submitted on 2015-08-31 03:58:50

Neutrosophic Circuits of Communication. a Review

Authors: Jozef Novak-Marcincin, Adrian Nicolescu, Mirela Teodorescu
Comments: 13 Pages.

“Communication Neutrosophic Routes” by Florentin Smarandache and Ştefan Vlăduţescu was published by Education Publishing, Ohio, USA, on May 2014. Florentin Smarandache and Ştefan Vlăduţescu are two remarcable professors, first at University of New Mexico/ USA, the second at University of Craiova/ Romania, with many researches in neutrosophical, communication, mathematic, literature, journalism, social sciencies. Neutrosophy had been in the emergence phase since 1995.
Category: General Mathematics

[104] viXra:1508.0412 [pdf] submitted on 2015-08-31 04:16:51

A Binarization Algorithm for Historical Arabic Manuscript Images using a Neutrosophic Approach

Authors: Khalid M. Amin, Mohamed Abd Elfattah, Aboul Ella Hassanien, Gerald Schaefer
Comments: 5 Pages.

In this paper, an improved thresholding approach based on neutrosophic sets (NSs) and adaptive thresholding is proposed.
Category: General Mathematics

[103] viXra:1508.0411 [pdf] submitted on 2015-08-31 04:17:49

Neutrosophic Hypervector Spaces

Authors: A.A.A. Agboola, S.A. Akinleye
Comments: 16 Pages.

The objective of this paper is to study neutrosophic hypervector spaces. Some basic denitions and properties of the hypervector spaces are generalized.
Category: General Mathematics

[102] viXra:1508.0409 [pdf] submitted on 2015-08-31 04:20:00

Neutrosophic Modeling and Control

Authors: Swati Aggarwal, Ranjit Biswas, A.Q.Ansari
Comments: 6 Pages.

Quite recently, Neutrosophic Logic has been proposed by Florentine Smarandache which is based on nonstandard analysis that was given by Abraham Robinson in 1960s.
Category: General Mathematics

[101] viXra:1508.0408 [pdf] submitted on 2015-08-31 04:21:23

Correlation Measure for Neutrosophic Re¯ned Sets and Its Application in Medical Diagnosis

Authors: Said Broumi, Irfan Deli
Comments: 10 Pages.

In this paper, the correlation measure of neutrosophic refined(multi-) sets is proposed. The concept of this correlation measure of neutrosophic refined sets is the extension of correlation measure of neutrosophic sets and intuitionistic fuzzy multi sets. Finally, using the correlation of neutrosophic refined set measure, the application of medical diagnosis and pattern recognition are presented.
Category: General Mathematics

[100] viXra:1508.0407 [pdf] submitted on 2015-08-31 04:22:19

Cosine Similarity Measure Of Rough Neutrosophic Sets And Its Application In Medical Diagnosis

Authors: Surapati Pramanik, Kalyan Mondal
Comments: 9 Pages.

In this paper, we define a rough cosine similarity measure between two rough neutrosophic sets. The notions of rough neutrosophic sets (RNS) will be used as vector representations in 3D-vector space.
Category: General Mathematics

[99] viXra:1508.0406 [pdf] submitted on 2015-08-31 04:23:18

Introduction to Neutrosophic Topological Spatial Region, Possible Application to GIS Topological Rules

Authors: A. A. Salama, Said Broumi, S. A. Alblowi
Comments: 7 Pages.

Neutrosophic set is a power general formal framework, which generalizes the concept of the classic set, fuzzy set, interval valued fuzzy set, intuitionistic fuzzy set, and interval intuitionistic fuzzy set from philosophical point of view.
Category: General Mathematics

[98] viXra:1508.0403 [pdf] submitted on 2015-08-31 04:27:09

Some Weighted Aggregation Operators of Trapezoidal Neutrosophic Numbers and Their Multiple Attribute Decision Making Method

Authors: Jun Ye
Comments: 14 Pages.

Based on the combination of single valued neutrosophic sets (SVNSs) and fuzzy numbers, this paper proposes the concepts of a neutrosophic number and a trapezoidal neutrosophic number (TNN) as the extension of an intuitionistic fuzzy number and an intuitionistic trapezoidal fuzzy number (ITFN), the basic operational relations of TNNs and the score function of TNN.
Category: General Mathematics

[97] viXra:1508.0402 [pdf] submitted on 2015-08-31 04:28:18

Npn-Soft Sets Theory and Their Applications

Authors: Irfan Deli
Comments: 16 Pages.

In this paper, we firstly defined neutrosophic parameterized neutrosophic soft sets(npn¡soft sets) which is combination of a neutrosophic sets and a soft sets.
Category: General Mathematics

[96] viXra:1508.0399 [pdf] submitted on 2015-08-31 04:31:35

Some Weighted Geometric Operators with SVTrN-Numbers and Their Application to Multi-Criteria Decision Making Problems

Authors: Irfan Deli, Yusuf Subas
Comments: 14 Pages.

The single valued triangular neutrosophic number (SVTrN-number) is simply an ordinary number whose precise value is somewhat uncertain from a philosophical point of view, which is a generalization of triangular fuzzy numbers and triangular intuitionistic fuzzy numbers.
Category: General Mathematics

[95] viXra:1508.0398 [pdf] submitted on 2015-08-31 04:32:26

Improved Weighted Correlation Coefficient based on Integrated Weight for Interval Neutrosophic Sets and its Application in Multi-criteria Decision Making Problems

Authors: Hong-yu Zhang, Pu Ji, Jian-qiang Wang, Xiao-hong Chen
Comments: 34 Pages.

The paper presents a new correlation coefficient measures satisfying the requirement that the correlation coefficient measure equals one if and only if two interval neutrosophic sets (INSs) are same and the weighted correlation coefficient measure of INSs based on the extension of the correlation coefficient measures of intuitionstic fuzzy sets (IFSs).
Category: General Mathematics

[94] viXra:1508.0396 [pdf] submitted on 2015-08-31 04:34:36

A Study on Neutrosophic Cognitive Maps (NCM) and Its Applications

Authors: C. Ramkumar, R. Ravanan, A. Lourdusamy, S. Narayanamoorthy
Comments: 3 Pages.

In the society there are several poor people are living. One of the sympathetic poor people is gypsies. They are moving from one place to another place towards survive of life because of not having any permanent place to live.
Category: General Mathematics

[93] viXra:1508.0395 [pdf] submitted on 2015-08-31 04:35:57

Neutrosophic Soft Matrix And Its Application in Solving Group Decision Making Problems from Medical Science

Authors: Tanushree Mitra Basu, Shyamal Kumar Mondal
Comments: 31 Pages.

The main purpose of this paper is to introduce the concept of Neutrosophic Soft Matrix(NS-Matrix). We have proposed different types of NS-Matrix along with various operations on them.
Category: General Mathematics

[92] viXra:1508.0394 [pdf] submitted on 2015-08-31 04:37:05

A Novel Image Thresholding Algorithm Based on Neutrosophic Similarity Score

Authors: Yanhui Guo, Abdulkadir Sengür, Jun Ye
Comments: 21 Pages.

Image thresholding is an important field in image processing. It has been employed to segment the images and extract objects.
Category: General Mathematics

[91] viXra:1508.0393 [pdf] submitted on 2015-08-31 04:38:19

Neutrosophic Soft Expert Sets

Authors: Mehmet Şahin, Shawkat Alkhazaleh, Vakkas Uluçay
Comments: 13 Pages.

In some real-life problems in expert system, belief system, information fusion and so on, we must consider the truth-membership as well as the falsity-membership for proper description of an object in uncertain, ambiguous environment.
Category: General Mathematics

[90] viXra:1508.0392 [pdf] submitted on 2015-08-31 04:39:44

An Outranking Approach for Multi-Criteria Decision-Making Problemswith Simplified Neutrosophic Sets

Authors: Juan-juan Peng, Jian-qiang Wang, Hong-yu Zhang, Xiao-hong Chen
Comments: 11 Pages.

tIn this paper, a new outranking approach for multi-criteria decision-making (MCDM) problems is devel-oped in the context of a simplified neutrosophic environment, where the truth-membership degree,indeterminacy-membership degree and falsity-membership degree for each element are singleton sub-sets in [0,1].
Category: General Mathematics

[89] viXra:1508.0390 [pdf] submitted on 2015-08-31 04:42:02

Introduction to Neutrosophic BCI/BCK-Algebras

Authors: A.A.A. Agboola, B. Davvaz
Comments: 14 Pages.

In this paper, we introduce the concept of neutrosophic BCI/BCK-algebras. Elementary properties of neutrosophic BCI/BCK algebras are presented.
Category: General Mathematics

[88] viXra:1508.0389 [pdf] submitted on 2015-08-31 04:43:03

Comparative Study of Intuitionistic and Generalized Neutrosophic Soft Sets

Authors: Debabrata Mandal
Comments: 4 Pages.

The aim of this paper is to define several operations such as Intersection, Union, OR, AND operations of intuitionistic (resp. generalized) neutrosophic soft sets in the sense of Maji and compare these with intuitionistic (resp. generalized) neutrosophic soft sets in the sense of Said et al via examples.
Category: General Mathematics

[87] viXra:1508.0388 [pdf] submitted on 2015-08-31 04:43:45

Correlation Measure for Neutrosophic Refined Sets and Its Application in Medical Diagnosis

Authors: Said Broumi, Irfan Deli
Comments: 9 Pages.

In this paper, the correlation measure of neutrosophic refined(multi-) sets is proposed. The concept of this correlation measure of neutrosophic refined sets is the extension of correlation measure of neutrosophic sets and intuitionistic fuzzy multi-sets. Finally, using the correlation of neutrosophic refined set measure, the application of medical diagnosis and pattern recognition are presented.
Category: General Mathematics

[86] viXra:1508.0384 [pdf] submitted on 2015-08-31 04:47:38

Addressing the Dimensions of Education and Integrated Curriculum Via Generalized Fuzzy Logic

Authors: Tudor Marin, Gheorghe SĂvoiu
Comments: 10 Pages.

In terms of the criteria used, and also comprehensively, a classification of education, considered already classical in the light of its fundamental dimensions, is slightly ambiguous, even if it easy to state; education issues today demonstrate that the structural make-up of education as formal, nonformal and informal presents many aspects of interference, overlapping and transfer, inevitably leading to vague areas.
Category: General Mathematics

[85] viXra:1508.0381 [pdf] submitted on 2015-08-31 04:51:14

Neutrosophic Soft Matrices and NSM-Decision Making

Authors: Irfan Deli, Said Broumi
Comments: 9 Pages.

In this paper, we have firstly redefined the notion of neutrosophic soft set and its operations in a new way to handle the indeterminate information and inconsistent information which exists commonly in belief systems.
Category: General Mathematics

[84] viXra:1508.0380 [pdf] submitted on 2015-08-31 04:52:07

A Multi Attribute Decision Making Method Based on Inclusion Measure for Interval Neutrosophic Sets

Authors: Rıdvan Şahin, Mesut Karabacak
Comments: 3 Pages.

In this paper, we introduce an inclusion measure for interval neutrosophic sets, which is one of information measures of interval neutrosophic theory.
Category: General Mathematics

[83] viXra:1508.0377 [pdf] submitted on 2015-08-31 05:13:21

Improved Cosine Similarity Measures of Simplified Neutrosophic Setsfor Medical Diagnoses

Authors: Jun Ye
Comments: 9 Pages.

In pattern recognition and medical diagnosis, similarity measure is an important mathematical tool. To overcome some disadvantages of existing cosine similarity measures of simplified neutrosophicsets (SNSs) in vector space, this paper proposed improved cosine similarity measures of SNSs based oncosine function, including single valued neutrosophic cosine similarity measures and interval neutro-sophic cosine similarity measures.
Category: General Mathematics

[82] viXra:1508.0376 [pdf] submitted on 2015-08-31 05:14:31

Intrusion Detection Using Neutrosophic Classifier

Authors: V. Jaiganesh, P. Rutravigneshwaran
Comments: 6 Pages.

Neutrosophic logic has been applied to network intrusion processing problems recently. A novel approach for intrusion thresholding is proposed by defining neutrosophic set in network domain. Neutrosophic is applied to network processing by defining a neutrosophic domain.
Category: General Mathematics

[81] viXra:1508.0373 [pdf] submitted on 2015-08-31 05:17:29

Multiple-Attribute Group Decision-Making Method under a Neutrosophic Number Environment

Authors: Jun Ye
Comments: 10 Pages.

As a neutrosophic number, which consists of a determinate part and an indeterminate part, can more easily and better express incomplete and indeterminate information that exists commonly in real situations.
Category: General Mathematics

[80] viXra:1508.0372 [pdf] submitted on 2015-08-31 05:18:44

Some Single Valued Neutrosophic Correlated Aggregation Operators and Their Applications to Material Selection

Authors: Yanbing Ju, Dawei Ju, Wenkai Zhang, Xia Li
Comments: 26 Pages.

In engineering design, the decision to select an optimal material has become a challenging task for the designers, and the evaluation of alternative materials may be based on some multiple attribute group decision making (MAGDM) methods.
Category: General Mathematics

[79] viXra:1508.0371 [pdf] submitted on 2015-08-31 05:19:34

Cotangent Similarity Measure of Rough Neutrosophic Sets and Its Application to Medical Diagnosis

Authors: Surapati Pramanik, Kalyan Mondal
Comments: 13 Pages.

Similarity measure plays an important role in medical diagnosis. In this paper, a new rough cotangent similarity measure between two rough neutrosophic sets is proposed.
Category: General Mathematics

[78] viXra:1508.0369 [pdf] submitted on 2015-08-31 05:21:22

Multi-Criteria Neutrosophic Decision Making Method Based on Score and Accuracy Functions Under Neutrosophic Environment

Authors: Rıdvan Şahin
Comments: 9 Pages.

A neutrosophic set is a more general platform, which can be used to present uncertainty, imprecise, incomplete and inconsistent.
Category: General Mathematics

[77] viXra:1508.0368 [pdf] submitted on 2015-08-31 05:23:21

Multi-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems

Authors: Juan-juan Peng, Jian-qiang Wang, Hong-yu Zhang, Xiao-hong Chen
Comments: 19 Pages.

In recent years, hesitant fuzzy sets (HFSs) and neutrosophic sets (NSs) have become a subject of great interest for researchers and have been widely applied to multi-criteria group decision-making (MCGDM) problems.
Category: General Mathematics

[76] viXra:1508.0366 [pdf] submitted on 2015-08-31 05:25:59

A Fuzzy Study on the Analysis of Cervical Cancer among women using Combined Disjoint Block Fuzzy Cognitive Maps (CDBFCMs)

Authors: T. Bharathi
Comments: 5 Pages.

In this paper we analyzed the impact of cervical cancer among women using Combined Disjoint Block Fuzzy Cognitive Maps (CDBFCM) model.
Category: General Mathematics

[75] viXra:1508.0361 [pdf] submitted on 2015-08-31 05:33:58

New Operations on Fuzzy Neutrosophic Sof Matrices

Authors: I. R. Sumathi, I. Arockiarani
Comments: 16 Pages.

In this work, we rst dene a relation on neutrosophic soft sets which allows to compose two neutrosophic soft sets. It is devised to derive useful information through the composition of two neutrosophic soft sets.
Category: General Mathematics

[74] viXra:1508.0360 [pdf] submitted on 2015-08-31 05:35:10

Introduction to Neutrosophic Nearrings

Authors: A.A.A. Agboola, B. Davvaz
Comments: 14 Pages.

The objective of this paper is to introduce the concept of neutrosophic near-rings. The concept of neutrosophic N-group of a neutrosophic nearring is introduced. We studied neutrosophic subnearrings of neutrosophic nearrings and also neutrosophic N-subgroups of neutrosophic N- groups.
Category: General Mathematics

[73] viXra:1508.0359 [pdf] submitted on 2015-08-31 05:36:27

Analysis of Reasons for Stress on College Students using Combined Disjoint Block Fuzzy Cognitive Maps (CDBFCM)

Authors: G Anusha, P. Venkata Ramana
Comments: 6 Pages.

College students experience stress because of various reasons. Caused by many reasons, the stress is present whether one is in their first year of college or their last.
Category: General Mathematics

[72] viXra:1508.0358 [pdf] submitted on 2015-08-31 05:37:44

On Single Valued Neutrosophic Relations

Authors: Hai-Long Yang, Zhi-Lian Guo, Xiuwu Liao
Comments: 20 Pages.

Smarandache initiated neutrosophic sets (NSs) which can be used as a mathematical tool for dealing with indeterminate and inconsistent information. In order to apply NSs conveniently, single valued neutrosophic sets (SVNSs) were proposed by Wang et al.
Category: General Mathematics

[71] viXra:1508.0357 [pdf] submitted on 2015-08-31 05:39:44

An Eidetic Reflex and Moment of Breakthrough in Time and Scientific Creation: 10 Years of Progress in Physics, 100 Years of General Relativity, and the Zelmanov Cosmological Group

Authors: Indranu Suhendro
Comments: 3 Pages.

We celebrate the first 10-year momentous span of the solid body of critical scientific results and efforts delivered by the visionary editorial and founding team of the pioneering open new-millennium journal for advanced studies in theoretical and experimental physics, mathematics, astronomy, and cosmology, Progress in Physics (see the Editor-in-Chief’s message: “Progress in Physics: 10 years in Print”), behind which is the core scientists and guardians of universal scientific creation, scientific revolution, and scientific-intellectual freedom and ethics: the few core scientists of the quintessential Zelmanov CosmologicalGroup, such as the founding editors and scientific creators Dmitri Rabounski and Larissa Borissova.
Category: General Mathematics

[70] viXra:1508.0355 [pdf] submitted on 2015-08-31 05:42:30

Quantification of Uncertainty in Mineral Prospectivity Prediction Using Neural Network Ensembles and Interval Neutrosophic

Authors: Pawalai Krai peerapun, Kok Wai Wong, Chun Che Fung, Warick Brown
Comments: 6 Pages.

Uncertainty estimation in mineral prospectivity prediction is an important task i n order to support decision making in regional-scale mineral exploration.
Category: General Mathematics

[69] viXra:1508.0354 [pdf] submitted on 2015-08-31 05:43:14

Neutrosophic Refined Similarity Measure Based on Cotangent Function and Its Application to Multi-Attribute Decision Making

Authors: Surapati Pramanik, Kalyan Mondal
Comments: 10 Pages.

In this paper, cotangent similarity measure of neutrosophic refined set is proposed and some of its properties are studied. Finally, using this refined cotangent similarity measure of single valued neutrosophic set, an application on educational stream selection is presented.
Category: General Mathematics

[68] viXra:1508.0353 [pdf] submitted on 2015-08-31 05:44:24

Rough Sets in Fuzzy Neutrosophic Approximation Space

Authors: C. Antony Crispin Sweety, I. Arockiarani
Comments: 16 Pages.

A rough set is a formal approximation of a crisp set which gives lower and upper approximation of original set to deal with uncertainties.
Category: General Mathematics

[67] viXra:1508.0352 [pdf] submitted on 2015-08-31 05:45:11

Time-Neutrosophic Soft Set and Its Applications

Authors: Shawkat Alkhazaleh
Comments: 21 Pages.

In 2013 Ayman A. Hazaymeh in his PhD thesis introduced the concept of timefuzzy soft set as a generalization of fuzzy soft set.
Category: General Mathematics

[66] viXra:1508.0351 [pdf] submitted on 2015-08-31 05:46:10

Simplified Neutrosophic Linguistic Normalized Weighted Bonferroni Mean Operator and Its Application to Multi-Criteria Decision-Making Problems

Authors: Zhang-peng Tian, Jing Wang, Hong-yu Zhang, Xiao-hong Chen, Jian-qiang Wang
Comments: 24 Pages.

The main purpose of this paper is to provide a method of multi-criteria decision-making that combines simplified neutrosophic linguistic sets and normalized Bonferroni mean operator to address the situations where the criterion values take the form of simplified neutrosophic linguistic numbers and the criterion weights are known.
Category: General Mathematics

[65] viXra:1508.0349 [pdf] submitted on 2015-08-31 05:48:06

Single Valued Neutrosophic Multisets

Authors: Rajashi Chatterjee, P. Majumdar, S. K. Samanta
Comments: 16 Pages.

In this paper, we have investigated single valued neutrosophic multisets in detail.
Category: General Mathematics

[64] viXra:1508.0345 [pdf] submitted on 2015-08-31 06:04:24

Generic Object Recognition Based on the Fusion of 2D and 3D SIFT Descriptors

Authors: Miaomiao Liu, Xinde Li, Jean Dezert, Chaomin Luo
Comments: 8 Pages.

This paper proposes a new generic object recognition (GOR) method based on the multiple feature fusion of 2D and 3D SIFT (scale invariant feature transform) descriptors drawn from 2D images and 3D point clouds.
Category: General Mathematics

[63] viXra:1508.0344 [pdf] submitted on 2015-08-31 06:05:33

On the Quality Estimation of Optimal Multiple Criteria Data Association Solutions

Authors: Jean Dezert, Kaouthar Benameur, Laurent Ratton, Jean-Franc¸ois Grandin
Comments: 8 Pages.

In this paper, we present a method to estimate the quality (trustfulness) of the solutions of the classical optimal data association (DA) problem associated with a given source of information (also called a criterion).
Category: General Mathematics

[62] viXra:1508.0343 [pdf] submitted on 2015-08-31 06:07:13

Classification of Incomplete Patterns Based on the Fusion of Belief Functions

Authors: Zhun-ga Liu, Quan Pan, Jean Dezert, Arnaud Martin, Gregoire Mercier
Comments: 8 Pages.

The influence of the missing values in the classification of incomplete pattern mainly depends on the context. In this paper, we present a fast classification method for incomplete pattern based on the fusion of belief functions where the missing values are selectively (adaptively) estimated.
Category: General Mathematics

[61] viXra:1508.0342 [pdf] submitted on 2015-08-31 06:08:40

Two Novel Methods for BBA Approximation Based on Focal Element Redundancy

Authors: Deqiang Han, Jean Dezert, Yi Yang
Comments: 7 Pages.

The theory of belief functions is a very appealing theory for uncertainty modeling and reasoning which has been widely used in information fusion. However, when the cardinality of the frame of discernment and the number of the focal elements are large the fusion of belief functions requires in general a high computational complexity.
Category: General Mathematics

[60] viXra:1508.0341 [pdf] submitted on 2015-08-31 06:09:45

Environment Perception Using Grid Occupancy Estimation with Belief Functions

Authors: Jean Dezert, Julien Moras, Benjamin Pannetier
Comments: 8 Pages.

Grid map offers a useful representation of the perceived world for mobile robotics navigation. It will play a major role for the safety (obstacle avoidance) of next generations of terrestrial vehicles, as well as for future autonomous navigation systems.
Category: General Mathematics

[59] viXra:1508.0340 [pdf] submitted on 2015-08-31 06:11:13

ComTrustO: Composite Trust-based Ontology Framework for Information and Decision Fusion

Authors: Alessandro Oltramari, Jin-Hee Cho
Comments: 8 Pages.

Interactions between humans and machines are often placed in a multi-layered network involving the multidimensional trust in communication, information, and socio-cognitive layers.
Category: General Mathematics

[58] viXra:1508.0339 [pdf] submitted on 2015-08-31 06:12:15

Information Fusion with Belief Functions: a Comparison of Proportional Conflict Redistribution PCR5 and PCR6 Rules for Networked Sensors

Authors: Roman Ilin, Erik Blasch
Comments: 8 Pages.

We compare several belief fusion methods, including the proportional conflict redistribution rules (PCR5 and PCR6) for multiple sources.
Category: General Mathematics

[57] viXra:1508.0338 [pdf] submitted on 2015-08-31 06:13:22

Information Fusion with Topological Event Spaces

Authors: Roman Ilin, Jun Zhang
Comments: 8 Pages.

We develop a novel information fusion scheme based on topological event space, viewed as a distributive lattice.We discuss the advantages of topological modeling and compare our approach to the existing Bayesian, Dempster-Shafer, and Dezert-Smarandache approaches.
Category: General Mathematics

[56] viXra:1508.0337 [pdf] submitted on 2015-08-31 06:14:27

Economic Paradoxism and Meson Economics

Authors: Gheorghe Săvoiu, Vasile Dinu
Comments: 23 Pages.

The structure of the paper brings together three major sections, following the general approach to the impact of paradoxes in economic theory.
Category: General Mathematics

[55] viXra:1508.0334 [pdf] submitted on 2015-08-31 06:17:58

A New Understanding of Particles by G -Flow Interpretation of Differential Equation

Authors: Linfan Mao
Comments: 9 Pages.

This paper discusses the G-flow solutions on Schr¨odinger equation, Klein-Gordon equation and Dirac equation, i.e., the field equations of particles, bosons or fermions, answers previous questions by ”yes“, and establishes the many world interpretation of quantum mechanics of H. Everett by purely mathematics in logic, i.e., mathematical combinatorics.
Category: General Mathematics

[54] viXra:1508.0333 [pdf] submitted on 2015-08-31 06:18:56

Smarandache Soft Groupoids

Authors: Mumtaz Ali
Comments: 11 Pages.

In this paper, Smarandache soft groupoids shortly (SS-groupoids) are introduced as a generalization of Smarandache Soft semigroups (SS-semigroups).
Category: General Mathematics

[53] viXra:1508.0330 [pdf] submitted on 2015-08-31 06:21:48

Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space

Authors: H.S.Abdel-Aziz, M.Khalifa Saad
Comments: 13 Pages.

In the present paper, Smarandache curves for some special curves in the threedimensional Galilean space G3are investigated. Moreover, spherical indicatrices for the helix as well as circular helix are introduced. Furthermore, some properties for these curves are given. Finally, in the light of this study, some related examples of these curves are provided.
Category: General Mathematics

[52] viXra:1508.0329 [pdf] submitted on 2015-08-31 06:22:47

Spinor Darboux Equations of Curves in Euclidean 3-Space

Authors: Ilim Kisi, Murat Tosun
Comments: 7 Pages.

In this paper, the spinor formulation of Darboux frame on an oriented surface is given. Also, the relation between spinor formulation of Frenet frame and Darboux frame is obtained.
Category: General Mathematics

[51] viXra:1508.0328 [pdf] submitted on 2015-08-31 06:23:48

Smarandache Curves In Terms of Sabban Frame of Fixed Pole Curve

Authors: Süleyman Şenyurt, Abdussamet Çalişkan
Comments: 53 Pages.

In this paper, we study the special Smarandache curve in terms of Sabban frame of Fixed Pole curve and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.
Category: General Mathematics

[50] viXra:1508.0327 [pdf] submitted on 2015-08-31 02:24:37

Fuzzy α-Discounting Method for Multi-Criteria Decision-Making

Authors: Atilla Karamana, Metin Dagdeviren
Comments: 11 Pages.

The α-Discounting Method was developed to be an alternative to and extension of the Analytical Hierarchy Process (AHP) to solve multi-criteria decision-making (MCDM) problems with non-commensurable and conflicting criteria.
Category: General Mathematics

[49] viXra:1508.0325 [pdf] submitted on 2015-08-31 02:28:03

A Study on Properties of Dempster-Shafer Theory to Probability Theory Transformations

Authors: A. Shahpari, S. A. Seyedin
Comments: 14 Pages.

In this paper, five conditions that have been proposed by Cobb and Shenoy are studied for nine different mappings from the Dempster-Shafer theory to the probability theory. After comparing these mappings, one of the considerable results indicates that none of the mappings satisfies the condition of invariance with respect to the marginalization process. In more details, the main reason for this defect is that the classic projection process in DST loses some probabilistic information.
Category: General Mathematics

[48] viXra:1508.0323 [pdf] submitted on 2015-08-31 02:32:52

Classification of Offline Handwritten Signatures using Wavelets and a Pattern Recognition Neural Network

Authors: Poornima G Patil, Ravindra S Hegadi
Comments: 5 Pages.

The various studies conducted for classification of handwritten signatures of people have shown that the task is difficult because there is intra personal differences among the signatures of the same person.
Category: General Mathematics

[47] viXra:1508.0322 [pdf] submitted on 2015-08-31 02:34:12

Using Application of Dezert Smarandache Theory on a New Framework for Protecting Manet

Authors: Ekata Gupta, S.K.Saxena
Comments: 5 Pages.

The article presents a concept of Dezert-Smarandache theory application for enhancing security in tactical mobile ad- hoc network. Tactical MANET, due to its specification, requires collection and processing of information from different sources of diverse security and trust metrics. The authors specify the needs for building a node’s situational awareness and identify data sources used for calculations of trust metrics.
Category: General Mathematics

[46] viXra:1508.0315 [pdf] submitted on 2015-08-31 03:07:28

Design of a Framework to Facilitate Decisions Using Information Fusion

Authors: Tamer M. Abo Neama, Ismail A. Ismail, Tarek S. Sobh, M. Zaki
Comments: 14 Pages.

Information fusion is an advanced research area which can assist decision makers in enhancing their decisions. This paper aims at designing a new multi-layer framework that can support the process of performing decisions from the obtained beliefs using information fusion.
Category: General Mathematics

[45] viXra:1508.0313 [pdf] submitted on 2015-08-31 03:11:17

DSmH Evidential Network for Target Identication

Authors: Xian LI, Zhigang CHEN, Peiliang JING
Comments: 8 Pages.

This paper proposes a model of evidential network based on Hybrid Dezert-Smarandache theory (DSmH) to improve target identication of multi-sensors. In the classication simulation, we compared the results obtained at the Target Type node and Foe-Ally node in evidential network by using Dempster-Shafer theory (DS) and using DSmH. The comparisons show that, when we use DSmH in the evidential network, we can assign more Basic Belief Assignments (BBA) to the focal element the target belongs to. Experiments conrm that the model of evidential network using DSmH is better than the one using DS.
Category: General Mathematics

[44] viXra:1508.0312 [pdf] submitted on 2015-08-31 03:12:29

Application of Evidence Theory to Construction Projects

Authors: Desmond Adair, Martin Jaeger
Comments: 10 Pages.

Crucial decisions are necessary throughout the life-cycle of large-scale construction projects. Such decisions are critical in that they have a direct impact upon the outcomes and success of a given project. To improve the decision process, an evidential reasoning framework based on the Dezert-Smarandache theory of plausible and paradoxical reasoning, where heterogeneous evidence sources are fused together, is described and used here.
Category: General Mathematics

[43] viXra:1508.0311 [pdf] submitted on 2015-08-31 03:13:40

DSmT Applied to Seismic and Acoustic Sensor Fusion

Authors: Erik P. Blasch, Jean Dezert, Pierre Valin
Comments: 8 Pages.

In this paper, we explore the use of DSMT for seismic and acoustic sensor fusion. The seismic/acoustic data is noisy which leads to classification errors and conflicts in declarations.
Category: General Mathematics

[42] viXra:1508.0285 [pdf] submitted on 2015-08-27 00:47:59

Neutrosophic Sets and Systems

Authors: Florentin Smarandache, Mumtaz Ali
Comments: 72 Pages.

Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. We now introduce for the first time the notions of neutrosophic measure and neutrosophic integral.Neutrosophic Science means development and applications of neutrosophic logic/set/measure/integral/ probability etc. and their applications in any field. It is possible to define the neutrosophic measure and consequently the neutrosophic integral and neutrosophic probability in many ways, because there are various types of indeterminacies, depending on the problem we need to solve. Indeterminacy is different from randomness.Indeterminacy can be caused by physical space materials and type of construction, by items involved in the space, or by other factors. Neutrosophic measure is a generalization of the classical measure for the case when the space contains some indeterminacy. Neutrosophic Integral is defined on neutrosophic measure. Simple examples of neutrosophic integrals are given.
Category: General Mathematics

[41] viXra:1508.0282 [pdf] submitted on 2015-08-27 01:51:43

Neutrosophic Closed Set and Neutrosophic Continuous Functions

Authors: A. A. Salama, Florentin Smarandache, Valeri Kromov
Comments: 76 Pages.

In this paper, we introduce and study the concept of "neutrosophic closed set "and "neutrosophic continuous function". Possible application to GIS topology rules are touched upon.
Category: General Mathematics

[40] viXra:1508.0281 [pdf] submitted on 2015-08-27 01:53:49

Neutrosophic Correlation and Simple Linear Regression

Authors: A. A. Salama, O. M. Khaled, K. M. Mahfouz
Comments: 78 Pages.

In this paper, we introduce and study the concepts of correlation and correlation coefficient of neutrosophic data in probability spaces and study some of their properties. Also, we introduce and study the neutrosophic simple linear regression model. Possible applications to data processing are touched upon.
Category: General Mathematics

[39] viXra:1508.0280 [pdf] submitted on 2015-08-27 01:55:21

Pauli Exclusion Principle and the Law of Included Multiple-Middle

Authors: Fu Yuhua
Comments: 85 Pages.

It has been found that bosons are not subject to the Pauli Exclusion Principle. This paper argues that in some cases the exclusion principle is also invalid for fermions.
Category: General Mathematics

[38] viXra:1508.0276 [pdf] submitted on 2015-08-27 02:02:21

A Generalized Family Of Estimators For Estimating Population Mean Using Two Auxiliary Attributes

Authors: Sachin Malik, Rajesh Singh, Florentin Smarandache
Comments: 12 Pages.

This paper deals with the problem of estimating the finite population mean when some information on two auxiliary attributes are available.
Category: General Mathematics

[37] viXra:1508.0275 [pdf] submitted on 2015-08-27 02:15:21

A General Procedure of Estimating Population Mean Using Information on Auxiliary Attribute

Authors: Sachin Malik, Rajesh Singh, Florentin Smarandache
Comments: 10 Pages.

This paper deals with the problem of estimating the finite population mean when some information on auxiliary attribute is available. It is shown that the proposed estimator is more efficient than the usual mean estimator and other existing estimators. The results have been illustrated numerically by taking empirical population considered in the literature.
Category: General Mathematics

[36] viXra:1508.0274 [pdf] submitted on 2015-08-27 02:17:40

Algebraic Problems and Exercises for High School

Authors: Ion Goian, Raisa Grigor, Vasile Marin, Florentin Smarandache
Comments: 146 Pages.

In this book, you will find algebraic exercises and problems,grouped by chapters, intended for higher grades in high schools or middle schools of general education. Its purpose is to facilitate training in mathematics for students in all high school categories, but can be equally helpful in a standalone work. The book can also be used as an extracurricular source, as the reader shall find enclosed important theorems and formulas, standard definitions and notions that are not always included in school textbooks.
Category: General Mathematics

[35] viXra:1508.0273 [pdf] submitted on 2015-08-27 02:19:05

Algebraic Structures Of Neutrosophic Soft Sets

Authors: Asim Hussain, Muhammad Shabir
Comments: 9 Pages.

In this paper, we study the algebraic operations of neutrosophic soft sets and their basic properties associated with these opertaions. And also define the associativity and distributivity of these operations. We discusse different algebraic structures, such as monoids, semiring and lattices, of neutrosophic soft sets.
Category: General Mathematics

[34] viXra:1508.0271 [pdf] submitted on 2015-08-27 02:22:03

A New Approach to Multi-spaces Through the Application of Soft Sets

Authors: Mumtaz Ali, Florentin Smarandache, Said Broumi, Muhammad Shabir
Comments: 6 Pages.

Multi-space is the notion combining different fields in to a unifying field, which is more applicable in our daily life. In this paper, we introduced the notion of multi-soft space which is the approximated collection of the multi-subspaces of a multi-space
Category: General Mathematics

[33] viXra:1508.0270 [pdf] submitted on 2015-08-27 02:23:30

A New Method of Measuring Similarity Between Two Neutrosophic Soft Sets and Its Application in Pattern Recognition Problems

Authors: Anjan Mukherjee, Sadhan Sarkar
Comments: 6 Pages.

Smarandache in 1995 introduced the concept of neutrosophic set and in 2013 Maji introduced the notion of neutrosophic soft set, which is a hybridization of neutrosophic set and soft set.
Category: General Mathematics

[32] viXra:1508.0269 [pdf] submitted on 2015-08-27 02:24:20

An Example of Guiding Scientific Research with Philosophical Principles Based on Uniqueness of Truth and Neutrosophy Deriving Newton's Second Law and the like

Authors: Fu Yuhua
Comments: 8 Pages.

According to the principle of the uniqueness of truth, there should be only one truth, namely law of conservation of energy, in the area of Newton Mechanics. Through the example of free falling body, according to the neutrosophic principle considering neutralities (the small ball is falling to the middle positions), this paper derives the original Newton's second law and the original law of gravity respectively by using the law of conservation of energy.
Category: General Mathematics

[31] viXra:1508.0268 [pdf] submitted on 2015-08-27 02:25:42

An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables

Authors: Said Broumi, Jun Ye, Florentin Smarandache
Comments: 10 Pages.

The interval neutrosophic uncertain linguistic variables can easily express the indeterminate and inconsistent information in real world, and TOPSIS is a very effective decision making method more and more extensive applications. In this paper, we will extend the TOPSIS method to deal with the interval neutrosophic uncertain linguistic information, and propose an extended TOPSIS method to solve the multiple attribute decision making problems in which the attribute value takes the form of the interval neutrosophic uncertain linguistic variables and attribute weight is unknown.
Category: General Mathematics

[30] viXra:1508.0267 [pdf] submitted on 2015-08-27 02:26:47

An Original Notion to Find Maximal Solution in the Fuzzy Neutrosophic Relation Equations (FNRE) with Geometric Programming (GP)

Authors: Huda E. Khalid
Comments: 5 Pages.

The analysis of most of the real world problems involves the concept of indeterminacy. One cannot establish or cannot rule out the possibility of some relation but says that cannot determine the relation or link;
Category: General Mathematics

[29] viXra:1508.0259 [pdf] submitted on 2015-08-27 02:44:21

Cosine Similarity Measure Based Multi-attribute Decision-making with Trapezoidal Fuzzy Neutrosophic Numbers

Authors: Pranab Biswas, Surapati Pramanik, Bibhas C. Giri
Comments: 11 Pages.

The objective of the study is to present cosine similarity measure based multi-attribute decision making under neutrosophic environment.
Category: General Mathematics

[28] viXra:1508.0258 [pdf] submitted on 2015-08-27 02:46:52

Critical Review

Authors: Paul P. Wang, John N. Mordeson, Mark J. Wierman
Comments: 62 Pages.

In this paper we initiated the concept of neutrosophic codes which are better codes than other type of codes. We first construct linear neutrosophic codes and gave illustrative examples. This neutrosophic algebriac structure is more rich for codes and also we found the containement of corresponding code in neutrosophic code. We also found new types of codes and these are pseudo neutrosophic codes and strong or pure neutrosophic codes. By the help of examples, we illustrated in a simple way. We established the basic results for neutosophic codes. At the end, we developed the decoding proceedures for neutrosophic codes.
Category: General Mathematics

[27] viXra:1508.0257 [pdf] submitted on 2015-08-27 02:49:21

Critical Review, Volume X, 2015

Authors: Paul P. Wang, John N. Mordeson, Mark J. Wierman, Florentin Smarandache
Comments: 106 Pages.

In this paper, we introduce for the first time the notions of Neutrosophic Axiom, Neutrosophic Axiomatic System, Neutrosophic Deducibility and Neutrosophic Inference, Neutrosophic Proof, Neutrosophic Tautologies, Neutrosophic Quantifiers, Neutrosophic Propositional Logic, Neutrosophic Axiomatic Space, Degree of Contradiction (Dissimilarity) of Two Neutrosophic Axioms, and Neutrosophic Model. A class of neutrosophic implications is also introduced. A comparison between these innovatory neutrosophic notions and their corresponding classical notions is made. Then, three concrete examples of neutrosophic axiomatic systems, describing the same neutrosophic geometrical model, are presented at the end of the paper.
Category: General Mathematics

[26] viXra:1508.0254 [pdf] submitted on 2015-08-27 02:54:17

Expanding Uncertainty Principle to Certainty-Uncertainty Principles with Neutrosophy and Quad-stage Method

Authors: Fu Yuhua
Comments: 4 Pages.

The most famous contribution of Heisenberg is uncertainty principle. But the original uncertainty principle is improper.
Category: General Mathematics

[25] viXra:1508.0253 [pdf] submitted on 2015-08-27 02:55:40

Further Generalization of n-D Distance and n-D Dependent Function in Extenics

Authors: Florentin Smarandache
Comments: 8 Pages.

Prof. Cai Wen defined the 1-D Distance and 1-D Dependent Function in 1983. F. Smarandache generalized them to n-D Distance and n-D Dependent Function respectively in 2012 during his postdoc research at Guangdong University of Technology in Guangzhou. O. I. Şandru extended the last results in 2013. Now [2015], as a further generalization, we unify all these results into a single formula for the n-D Distance and respectively for the n-D Dependent Function.
Category: General Mathematics

[24] viXra:1508.0252 [pdf] submitted on 2015-08-27 02:57:49

Fuzzy Abel Grassmann Groupoids, Second Updated and Enlarged Version

Authors: Madad Khan, Florentin Smarandache, Tariq Aziz
Comments: 112 Pages.

Usually the models of real world problems in almost all disciplines like engineering, medical sciences, mathematics, physics, computer science, management sciences, operations research and arti…cial intelligence are mostly full of complexities and consist of several types of uncertainties while dealing them in several occasion.
Category: General Mathematics

[23] viXra:1508.0249 [pdf] submitted on 2015-08-27 03:02:39

Single Valued Neutrosophic Information Systems Based on Rough Set Theory

Authors: Said Broumi, Florentin Smarandache
Comments: 10 Pages.

The theory of rough sets was firstly proposed by Pawlak. Later on, Smarandache introduced the concept of neutrosophic (NS) sets in 1998. In this paper based on the concept of rough neutrosohic set, we define the concept of single valued neutrosophic information systems. In addition, we will discuss the knowledge reduction and extension of the single valued neutrosophic information systems.
Category: General Mathematics

[22] viXra:1508.0244 [pdf] submitted on 2015-08-27 03:22:18

Mathematics After CC Conjecture — Combinatorial Notions and Achievements

Authors: Linfan Mao
Comments: 31 Pages.

As a powerful technique for holding relations in things, combinatorics has experienced rapidly development in the past century, particularly, enumeration of configurations,combinatorial design and graph theory.
Category: General Mathematics

[21] viXra:1508.0243 [pdf] submitted on 2015-08-27 03:23:29

Medical Diagnosis Using Distance-Based Similarity Measures of Single Valued Neutrosophic Multisets

Authors: Shan Ye, Jing Fu, Jun Ye
Comments: 6 Pages.

This paper proposes a generalized distance measure and its similarity measures between single valued neutrosophic multisets (SVNMs).
Category: General Mathematics

[20] viXra:1508.0242 [pdf] submitted on 2015-08-27 03:24:26

Misfire Fault Diagnosis Method of Gasoline Engines Using the Cosine Similarity Measure of Neutrosophic Numbers

Authors: Lingwei Kong, Yuefeng Wu, Jun Ye
Comments: 4 Pages.

This paper proposes a distance measure of neutrosophic numbers and a similarity measure based on cosine function, and then develops the misfire fault diagnosis method of gasoline engines by using the cosine similarity measure of neutrosophic numbers.
Category: General Mathematics

[19] viXra:1508.0241 [pdf] submitted on 2015-08-27 03:25:29

Multi-criteria Group Decision Making Approach for Teacher Recruitment in Higher Education under Simplified Neutrosophic Environment

Authors: Kalyan Mondal, Surapati Pramanik
Comments: 7 Pages.

Teacher recruitment is a multi-criteria group decisionmaking process involving subjectivity, imprecision,and fuzziness that can be suitably represented by neutrosophic sets.
Category: General Mathematics

[18] viXra:1508.0238 [pdf] submitted on 2015-08-27 03:28:48

Neutrosophic Code

Authors: Mumtaz Ali, Florentin Smarandache, Munazza Naz, Muhammad Shabir4
Comments: 11 Pages.

The idea of neutrosophic code came into my mind at that time when i was reading the literature about linear codes and i saw that, if there is data transfremation between a sender and a reciever. They want to send 11and 00 as codewords. They suppose 11 for true and 00 for false. When the sender sends the these two codewords and the error occures. As a result the reciever recieved 01 or 10 instead of 11 and 00. This story give a way to the neutrosophic codes and thus we introduced neutrosophic codes over finite field in this paper
Category: General Mathematics

[17] viXra:1508.0237 [pdf] submitted on 2015-08-27 03:30:02

Neutrosophic Cognitive Maps for Modeling Project Portfolio Interdependencies

Authors: Ameirys Betancourt-Vázquez, Maikel Leyva-Vázquez, Karina Perez-Teruel
Comments: 5 Pages.

Interdependency modeling and analysis have commonly been ignored in project portfolio management. In this work, we proposed a new method for modeling project portfolio interdependencies, and specially risks interdependencies, using neutrosophic logic and neutrosophic cognitive maps. This proposal has many advantages for dealing with indeterminacy making easy the elicitation of knowledge from experts. An illustrative example is presented to demonstrate the applicability of the proposed method.
Category: General Mathematics

[16] viXra:1508.0234 [pdf] submitted on 2015-08-27 03:32:50

Neutrosophic Decision Making Model of School Choice

Authors: Kalyan Mondal, Surapati Pramanik
Comments: 7 Pages.

The purpose of this paper is to present single valued neutrosophic decision making model of school choice. Childhood is a crucial stage in terms of a child's physical, intellectual, emotional and social development i.e. all round development of a child. Mental and physical abilities of children grow at an increasing rate.
Category: General Mathematics

[15] viXra:1508.0233 [pdf] submitted on 2015-08-27 03:34:00

Neutrosophic LA-Semigroup Rings

Authors: Mumtaz Ali, Muhammad Shabir, Florentin Smarandache, Luige Vladareanu
Comments: 8 Pages.

Neutrosophic LA-semigroup is a midway structure between a neutrosophic groupoid and a commutative neutrosophic semigroup. Rings are the old concept in algebraic structures.
Category: General Mathematics

[14] viXra:1508.0231 [pdf] submitted on 2015-08-27 03:35:46

Neutrosophic Vague Set Theory

Authors: Shawkat Alkhazaleh
Comments: 11 Pages.

In 1993, Gau and Buehrer proposed the theory of vague sets as an extension of fuzzy set theory. Vague sets are regarded as a special case of context-dependent fuzzy sets. In 1995, Smarandache talked for the first time about neutrosophy, and he defined the neutrosophic set theory as a new mathematical tool for handling problems involving imprecise, indeterminacy, and inconsistent data. In this paper, we define the concept of a neutrosophic vague set as a combination of neutrosophic set and vague set. We also define and study the operations and properties of neutrosophic vague set and give some examples.
Category: General Mathematics

[13] viXra:1508.0230 [pdf] submitted on 2015-08-27 03:36:39

N-Valued Interval Neutrosophic Sets and Their Application in Medical Diagnosis

Authors: Said Broumi, Irfan Deli, Florentin Smarandache
Comments: 25 Pages.

In this paper a new concept is called n-valued interval neutrosophic sets is given. The basic operations are introduced on n-valued interval neutrosophic sets such as; union, intersection, addition, multiplication, scalar multiplication, scalar division, truthfavorite and false-favorite.
Category: General Mathematics

[12] viXra:1508.0229 [pdf] submitted on 2015-08-27 03:38:21

On Neutrosophic Ideals of Neutrosophic BCI-Algebras

Authors: A.A.A. Agboola, B. Davvaz
Comments: 11 Pages.

The objective of this paper is to introduce and study neutrosophic ideals of neutrosophic BCI-algebras. Elementary properties of neutrosophic ideals of neutrosophic BCI-algebras are presented.
Category: General Mathematics

[11] viXra:1508.0228 [pdf] submitted on 2015-08-27 03:40:03

On The Use of Coefficient of Variation in Estimating Mean of a Finite Population

Authors: B. B. Khare, P. S. Jha, U. Srivastava
Comments: 5 Pages.

In this paper the use of coefficient of variation and shape parameters in each stratum, the problem of estimation of population of mean has been considered. The expression of mean squared error of the proposed estimator is derived and its properties are discussed.
Category: General Mathematics

[10] viXra:1508.0227 [pdf] submitted on 2015-08-27 03:41:46

Quaestiones Neutrosophicae

Authors: Florentin Smarandache, Yale Landsberg
Comments: 44 Pages.

Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra.
Category: General Mathematics

[9] viXra:1508.0224 [pdf] submitted on 2015-08-27 03:45:24

Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies

Authors: Florentin Smarandache
Comments: 5 Pages.

In this paper, we make a short history about: the neutrosophic set, neutrosophic numerical components and neutrosophic literal components, neutrosophic numbers, and elementary neutrosophic algebraic structures.
Category: General Mathematics

[8] viXra:1508.0223 [pdf] submitted on 2015-08-27 03:46:32

Review of Recommender Systems Algorithms Utilized in Social Networks Based e-Learning Systems & Neutrosophic System

Authors: A. A. Salama, Mohamed Eisa, S.A.ELhafeez, M. M. Lotfy
Comments: 10 Pages.

In this paper, we present a review of different recommender system algorithms that are utilized in social networks based e-Learning systems.
Category: General Mathematics

[7] viXra:1508.0221 [pdf] submitted on 2015-08-27 03:49:35

Sampling Strategies for Finite Population Using Auxiliary Information

Authors: Sachin Malik, Rajesh Singh, Florentin Smarandache, B. B. Khare, P. S. Jha, Usha Srivastava, Habib Ur. Rehman
Comments: 56 Pages.

The present book aims to present some improved estimators using auxiliary and attribute information in case of simple random sampling and stratified random sampling and in some cases when non-response is present.
Category: General Mathematics

[6] viXra:1508.0220 [pdf] submitted on 2015-08-27 03:50:51

Smarandache-R-Module and Mcrita Context

Authors: N.Kannappa, P.Hirudayaraj
Comments: 6 Pages.

In this paper we introduced Smarandache-2-algebraic structure of R-module namely Smarandache-R-module.
Category: General Mathematics

[5] viXra:1508.0219 [pdf] submitted on 2015-08-27 03:51:59

Soft Interval –Valued Neutrosophic Rough Sets

Authors: Said Broumi, Florentin Smarandache
Comments: 12 Pages.

In this paper, we first defined soft intervalvalued neutrosophic rough sets(SIVN- rough sets for short) which combines interval valued neutrosophic soft set and rough sets and studied some of its basic properties.
Category: General Mathematics

[4] viXra:1508.0218 [pdf] submitted on 2015-08-27 03:53:00

Some Results on Total Mean Cordial Labeling of Graphs

Authors: R.Ponraj, S.Sathish Narayanan
Comments: 11 Pages.

Throughout this paper we considered finite, undirected and simple graphs.
Category: General Mathematics

[3] viXra:1508.0067 [pdf] submitted on 2015-08-09 21:04:23

Nonlinear Finite Element Model for Transient Heat Transfer Under Soil with Plastic Mulch in Agriculture Applications

Authors: Carlos Armando De Castro, Orlando Porras Rey
Comments: 5 Pages. Double column format

In this paper, transient heat transfer under soil with plastic mulch is modeled using quadratic finite elements in the Galerkin approach. The model is nonlinear because of the radiative heat exchange between the soil surface, the plastic mulch and the atmosphere. Model validation was done experimentally by measuring the temperature of the soil surface in a terrain in the Savanna of Bogotá in Colombia, giving good approximation of the model to the measured data. Keywords: heat equation, finite element method, nonlinear boundary conditions, plastic mulch, atmospheric radiation
Category: General Mathematics

[2] viXra:1508.0059 [pdf] submitted on 2015-08-08 17:43:50

Formula For Pi

Authors: Rodolfo A. Frino
Comments: 3 Pages.

The goal of this paper is to compute the number Pi based on the cosine rule.
Category: General Mathematics

[1] viXra:1508.0058 [pdf] submitted on 2015-08-08 23:31:46

Computational Analysis of the Heat Gain of Buildings Through Their Roofs Using a Heat Transfer Transient Nonlinear Model Solved by Numerical Methods

Authors: Carlos Armando De Castro
Comments: 9 Pages.

In this paper heat transfer through roofs with one layer and with two layers of materials with an air gap between them is modeled. Solar radiation and infrared atmospheric radiation over the exterior surface of the roof are considered, also the convective and radiative heat exchange between the surfaces that limit the air gap in the roof. The transient partial differential heat equation is solved with the nonlinear time variant boundary conditions and the discrete heat equation considered like a system of nonlinear equations for each time step with the Newton-Raphson multidimensional iteration. A code in MATLAB was used to implement the algorithm of solution. With the temperature profile known the heat gain through the roof to the interior of the building is calculated considering a constant internal temperature, with meteorological conditions from the Caribbean Coast of Colombia and varying the roof surfaces’materials and properties to radiation.
Category: General Mathematics