Generalized intuitionistic fuzzy hybrid Choquet averaging operators

Abstract

In this study a new hybrid aggregation operator named as the generalized intuitionistic fuzzy hybrid Choquet averaging (GIFHCA) operator is defined. Meantime, some desirable properties are studied, and several important cases are examined. Furthermore, we define the generalized Shapley GIFHCA (GS-GIFHCA) operator, which does not only overall consider the importance of elements and their ordered positions, but also globally reflect the correlations among them and their ordered positions. In order to simplify the complexity of solving a fuzzy measure, we further define the generalized λ-Shapley GIFHCA (GΛS-GIFHCA) operator.

Keywords

Multi-attribute group decision making / intuitionistic fuzzy set / Choquet integral / generalized Shapley function / fuzzy measure

Author summay

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