Similarity Measures of q-Rung Orthopair Fuzzy Sets Based on Cosine Function and Their Applications

Ping Wang, Jie Wang, Guiwu Wei and Cun Wei
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Ping Wang: Institute of Technology, Sichuan Normal University, Chengdu 610101, China
Jie Wang: School of Business, Sichuan Normal University, Chengdu 610101, China
Guiwu Wei: School of Business, Sichuan Normal University, Chengdu 610101, China
Cun Wei: School of Business, Sichuan Normal University, Chengdu 610101, China

Mathematics, 2019, vol. 7, issue 4, 1-23

Abstract: In this article, we propose another form of ten similarity measures by considering the function of membership degree, non-membership degree, and indeterminacy membership degree between the q-ROFSs on the basis of the traditional cosine similarity measures and cotangent similarity measures. Then, we utilize our presented ten similarity measures and ten weighted similarity measures between q-ROFSs to deal with multiple attribute decision-making (MADM) problems including pattern recognition and scheme selection. Finally, two numerical examples are provided to illustrate the scientific and effective of the similarity measures for pattern recognition and scheme selection.

Keywords: multiple attribute decision-making (MADM); q-rung orthopair fuzzy sets (q-ROFSs); cosine function; cosine similarity measure; pattern recognition; scheme selection (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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