Approaches to multiple attribute group decision making based on the generalized Dice similarity measures with intuitionistic fuzzy information

This work presents some novel Dice similarity measures of intuitionistic fuzzy sets and the generalized Dice similarity measure-based multiple attribute group decision making models with intuitionistic information, 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.

Abstract

The intuitionistic fuzzy set is characterized by two functions expressing the degree of membership and the degree of non-membership. It was proposed as a generalization of a fuzzy set in order to deal with indeterminate and inconsistent information. In this work, we shall present some novel Dice si milarity measures of intuitionistic fuzzy sets and the generalized Dice similarity measures of intuitionistic fuzzy sets 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 intuitionistic information. Then, we apply the generalized Dice similarity measures between intuitionistic fuzzy sets 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.