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

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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… Click to show full abstract

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.

Keywords: similarity; membership; similarity measures; decision making; strategic decision

Journal Title: Informatica
Year Published: 2017

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