Bipolar neutrosophic soft sets and applications in decision making

Ali, Mumtaz and Son, Le Hoang and Deli, Irfan and Tien, Nguyen Dang (2017) Bipolar neutrosophic soft sets and applications in decision making. Journal of Intelligent and Fuzzy Systems, 33 (6). pp. 4077-4087. ISSN 1064-1246

Abstract

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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Permanent restricted access to Published version, in accordance with the copyright policy of the publisher.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 16 Apr 2018 02:50
Last Modified: 16 Apr 2018 02:50
Uncontrolled Keywords: algebraic operations, bipolar neutrosophic soft sets, decision making, neutrosophic sets, soft sets
Fields of Research : 01 Mathematical Sciences > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified
Identification Number or DOI: 10.3233/JIFS-17999
URI: http://eprints.usq.edu.au/id/eprint/33975

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