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Bipolar neutrosophic soft sets and applications in decision making

Version 2 2024-06-06, 10:46
Version 1 2019-05-17, 13:00
journal contribution
posted on 2024-06-06, 10:46 authored by M Ali, LH Son, I Deli, ND Tien
© 2017-IOS Press and the authors. All rights reserved. Neutrosophic set, proposed by Smarandache considers a truth membership function, an indeterminacy membership function and a falsity membership function. Soft set, proposed by Molodtsov is a mathematical framework which has the ability of independency of parameterizations inadequacy, syndrome of fuzzy set, rough set, probability. Those concepts have been utilized successfully to model uncertainty in several areas of application such as control, reasoning, game theory, pattern recognition, and computer vision. Nonetheless, there are many problems in real-world applications containing indeterminate and inconsistent information that cannot be effectively handled by the neutrosophic set and soft set. In this paper, we propose the notation of bipolar neutrosophic soft sets that combines soft sets and bipolar neutrosophic sets. Some algebraic operations of the bipolar neutrosophic set such as the complement, union, intersection are examined. We then propose an aggregation bipolar neutrosophic soft operator of a bipolar neutrosophic soft set and develop a decision making algorithm based on bipolar neutrosophic soft sets. Numerical examples are given to show the feasibility and effectiveness of the developed approach.

History

Journal

Journal of Intelligent and Fuzzy Systems

Volume

33

Pagination

4077-4087

Location

Amsterdam, Netherlands

ISSN

1064-1246

eISSN

1875-8967

Language

English

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2017, IOS Press and the authors

Issue

6

Publisher

IOS PRESS