Title: Bipolar fuzzy soft expert set and its application in decision making

Authors: Yousef Al-Qudah; Nasruddin Hassan

Addresses: School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor DE, Malaysia ' School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor DE, Malaysia

Abstract: In this paper, we extend the two concepts of bipolar fuzzy sets and soft expert sets to bipolar fuzzy soft expert sets. We will define its basic theoretic operation, namely complement, union, intersection, AND and OR on bipolar fuzzy soft expert sets along with illustrative examples, and study some related properties with supporting proofs. The basic properties and relevant laws pertaining to this concept are proven. We then construct an algorithm based on this concept. Finally, we apply it to a decision-making problem to demonstrate the applicability of the proposed method. It is shown that this concept is effective in solving decision-making problems using an illustrative example.

Keywords: bipolar fuzzy set; bipolar fuzzy soft set; soft expert set; decision making.

DOI: 10.1504/IJADS.2017.084310

International Journal of Applied Decision Sciences, 2017 Vol.10 No.2, pp.175 - 191

Received: 31 Dec 2016
Accepted: 28 Feb 2017
Published online: 26 May 2017 *

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