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The generalized Dice similarity measures for Pythagorean fuzzy multiple attribute group decision making
Author(s) -
Wang Jie,
Gao Hui,
Wei Guiwu
Publication year - 2019
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22090
Subject(s) - dice , similarity (geometry) , generalization , mathematics , artificial intelligence , pythagorean theorem , fuzzy set , fuzzy logic , group (periodic table) , set (abstract data type) , computer science , pattern recognition (psychology) , statistics , image (mathematics) , chemistry , geometry , organic chemistry , mathematical analysis , programming language
Abstract 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.