Some Cosine Similarity Measures for Picture Fuzzy Sets and Their Applications to Strategic Decision Making

Another form of eight similarity measures based on the cosine function between PFSs by considering the degree of positive membership, level of neutral membership, degree of negative membership and degree of refusal membership are presented.

Abstract

In this paper, we presented another form of eight similarity measures between PFSs based on the cosine function between PFSs by considering the degree of positive membership, degree of neutral membership, degree of negative membership and degree of refusal membership in PFSs. Then, we applied these weighted cosine function similarity measures between PFSs to strategic decision making. Finally, an illustrative example for selecting the optimal production strategy is given to demonstrate the efficiency of the similarity measures for strategic decision making problem.