General Science and Philosophy


TOPSIS for Solving Multi-Attribute Decision Making Problems under Bi-Polar Neutrosophic Environment

Authors: Partha Pratim Dey, Surapati Pramanik, Bibhas C. Giri

The paper investigates a technique for order preference by similarity to ideal solution (TOPSIS) method to solve multi-attribute decision making problems with bipolar neutrosophic information. We define Hamming distance function and Euclidean distance function to determine the distance between bipolar neutrosophic numbers. In the decision making situation, the rating of performance values of the alternatives with respect to the attributes are provided by the decision maker in terms of bipolar neutrosophic numbers. The weights of the attributes are determined using maximizing deviation method. We define bipolar neutrosophic relative positive ideal solution (BNRPIS) and bipolar neutrosophic relative negative ideal solution (BNRNIS). Then, the ranking order of the alternatives is obtained by TOPSIS method and most desirable alternative is selected. Finally, a numerical example for car selection is solved to demonstrate the applicability and effectiveness of the proposed approach and comparison with other existing method is also provided.

Comments: 13 Pages.

Download: PDF

Submission history

[v1] 2016-12-07 10:40:29

Unique-IP document downloads: 12 times 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. 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.

comments powered by Disqus