4.5 Article

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

Journal

INFORMATICA
Volume 28, Issue 3, Pages 547-564

Publisher

INST MATHEMATICS & INFORMATICS
DOI: 10.15388/Informatica.2017.144

Keywords

strategic decision making; picture fuzzy set; cosine function; cosine similarity measure; optimal production strategy

Funding

  1. National Natural Science Foundation of China [61174149, 71571128]
  2. Humanities and Social Sciences Foundation of Ministry of Education of the People's Republic of China [15YJCZH138]
  3. construction plan of scientific research innovation team for colleges and universities in Sichuan Province [15TD0004]

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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.

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