Bipolar fuzzy soft sets and its applications in decision making problem

Article type: Research Article

Authors: Abdullah, Saleem | Aslam, Muhammad | Ullah, Kifayat

Affiliations: Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan | Department of Mathematics, King Khalid University, Abha, Saudi Arabia

Note: [] Corresponding author. Saleem Abdullah, Department of Mathematics Quaid-i-Azam University, Islamabad 45320, Pakistan. E-mail: saleemabdullah81@yahoo.com (S. Abdullah).

Abstract: In this article, we combine the concept of a bipolar fuzzy set and a soft set. We introduce the notion of bipolar fuzzy soft set and study fundamental properties. We study basic operations on bipolar fuzzy soft set. We define extended union, intersection of two bipolar fuzzy soft set. We also give an application of bipolar fuzzy soft set into decision making problem. We give a general algorithm to solve decision making problems by using bipolar fuzzy soft set.

Keywords: Keyword Soft set, bipolar fuzzy set, fuzzy soft set and bipolar fuzzy soft set

DOI: 10.3233/IFS-131031

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 2, pp. 729-742, 2014