Neutrosophic Theory and its Applications, Collected Papers, Vol. 1
Authors: Florentin Smarandache
Neutrosophic Theory means Neutrosophy applied in many fields in order to solve problems related to indeterminacy.
Neutrosophy considers every entity <A> together with its opposite or negation <antiA>, and with their spectrum of neutralities <neutA> in between them (i.e. entities supporting neither nor <antiA>). Where , which of course depends on <A>, can be indeterminacy, neutrality, tie (game), unknown, vagueness, contradiction, ignorance, incompleteness, imprecision, etc.
Hence, in one hand, the Neutrosophic Theory is based on the triad <A>, <neutA>, and <antiA>.
In the other hand, Neutrosophic Theory studies the indeterminacy in general, labelled as I, with I^n = I for n ≥ 1, and mI + nI = (m+n)I, in neutrosophic structures developed in algebra, geometry, topology etc.
This volume contains 45 papers, written by the author alone or in collaboration with the
following co-authors: Mumtaz Ali, Said Broumi, Sukanto Bhattacharya, Mamoni Dhar, Irfan
Deli, Mincong Deng, Alexandru Gal, Valeri Kroumov, Pabitra Kumar Maji, Maikel Leyva-
Vazquez, Feng Liu, Pinaki Majumdar, Munazza Naz, Karina Perez-Teruel, Rıdvan Sahin, A. A.
Salama, Muhammad Shabir, Rajshekhar Sunderraman, Luige Vladareanu, Magdalena Vladila, Stefan Vladutescu, Haibin Wang, Hongnian Yu, Yan-Qing Zhang, about discounting of a neutrosophic mass in terms of reliability and respectively the importance of the source, evolution of sets from fuzzy set to neutrosophic set, classes of neutrosophic norm (n-norm) and neutrosophic conorm (n-conorm), applications of neutrosophic logic to physics,
connections between extension logic and refined neutrosophic logic, approaches of neutrosophic
logic to RABOT real time control, some applications of the neutrosophic logic to robotics,
correlation coefficients of interval valued neutrosophic set, cosine similarity between interval
valued neutrosophic sets, distance and similarity measures of interval neutrosophic soft sets,
generalized interval neutrosophic soft sets and their operations, G-neutrosophic space,
neutrosophic orbit, neutrosophic stabilizer, intuitionistic neutrosophic sets, intuitionistic
neutrosophic soft sets, neutrosophic multi relation (NMR) defined on neutrosophic multisets,
neutrosophic loops and biloops, neutrosophic N-loops and soft neutrosophic N-loops, operations
on intuitionistic fuzzy soft sets, fuzzy soft matrix and new operations, such as fuzzy soft
complement matrix and trace of fuzzy soft matrix based on reference function related properties, neutrosophic parameterized (NP) soft sets, NP-aggregation operator, and many more.
Comments: 480 Pages.
[v1] 2014-12-09 20:21:48
[v2] 2015-01-30 13:43:13
Unique-IP document downloads: 200 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary.
In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution.
Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.