Journal
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Volume 34, Issue 6, Pages 1158-1183Publisher
WILEY
DOI: 10.1002/int.22090
Keywords
asymmetric measures; Dice similarity measures; ERP system; generalized Dice similarity measures; multiple attribute group decision making; projection measures; Pythagorean fuzzy set
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Funding
- National Natural Science Foundation of China [71571128]
- Humanities and Social Sciences Foundation of Ministry of Education of the People's Republic of China [15XJA630006]
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The Pythagorean fuzzy set (PFS) is characterized by two functions expressing the degree of membership and the degree of nonmembership, which square sum of them is equal or less than 1. It was proposed as a generalization of a fuzzy set to deal with indeterminate and inconsistent information. In this study, we shall present some novel Dice similarity measures of PFSs and the generalized Dice similarity measures of PFSs and indicates that the Dice similarity measures and asymmetric measures (projection measures) are the special cases of the generalized Dice similarity measures in some parameter values. Then, we propose the generalized Dice similarity measures-based multiple attribute group decision-making models with Pythagorean fuzzy information. Then, we apply the generalized Dice similarity measures between PFSs to multiple attribute group decision making. Finally, an illustrative example is given to demonstrate the efficiency of the similarity measures for selecting the desirable ERP system.
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