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

Wei, Guiwu

doi:10.15388/Informatica.2017.144

Informatica

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

Volume 28, Issue 3 (2017), pp. 547–564

Guiwu Wei

https://doi.org/10.15388/Informatica.2017.144

Pub. online: 1 January 2017 Type: Research Article

Open Access

Received
1 October 2016

Accepted
1 March 2017

Published
1 January 2017

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.

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Biographies

Wei Guiwu

weiguiwu@163.com

G.W. Wei has an MSc and a PhD degree in applied mathematics from SouthWest Petroleum University, Business Administration from school of Economics and Management at SouthWest Jiaotong University, China, respectively. From May 2010 to April 2012, he was a postdoctoral researcher with the School of Economics and Management, Tsinghua University, Beijing, China. He is a professor in the School of Business at Sichuan Normal University. He has published more than 90 papers in journals, books and conference proceedings including journals such as Omega, Decision Support Systems, Expert Systems with Applications, Applied Soft Computing, Knowledge and Information Systems, Computers & Industrial Engineering, Knowledge-Based Systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, International Journal of Computational Intelligence Systems and Information: An International Interdisciplinary Journal. He has published 1 book. He has participated in several scientific committees and serves as a reviewer in a wide range of journals including Computers & Industrial Engineering, International Journal of Information Technology and Decision Making, Knowledge-Based Systems, Information Sciences, International Journal of Computational Intelligence Systems and European Journal of Operational Research. He is currently interested in aggregation operators, decision making and computing with words.

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Keywords

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

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