Spherical Bipolar Fuzzy Sets and Its Application in Multi Criteria Decision Making Problem

Abstract

This paper introduces the concept of Spherical Bipolar Fuzzy sets (SBFS) as a combination of Spherical Fuzzy sets and Bipolar Valued Fuzzy Sets along with their properties. Arithmetic operations involving addition, multiplication and subtraction are presented together with their proofs. A multi criteria decision making method is established in which the evaluation values of alternatives respective to criteria are represented in SBFS. Finally, a numerical example shows the application of the proposed method.

Keywords

• intuitionistic fuzzy set (ifs)
• ifs2
• neutrosophic fuzzy set (nfs)
• bipolar valued fuzzy set
• spherical fuzzy set