Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment

We study the group decision making problem under intuitionistic fuzzy environment. Based on entropy and cross entropy, we give two methods to determine the optimal weights of attributes, and develop two pairs of entropy and cross entropy measures for intuitionistic fuzzy values. Then, we discuss the properties of these measures and the relations between them and the existing ones. Furthermore, we introduce three new aggregation operators, which treat the membership and non-membership information fairly, to aggregate intuitionistic fuzzy information. Finally, several practical examples are presented to illustrate the developed methods.

Research highlights► Two pairs of intuitionistic fuzzy entropy/cross entropy formulas are given considering the hesitancy information. ► Three symmetric intuitionsitic fuzzy aggregation operators are developed treating the membership and non-membership information fairly. ► An attribute weight-determining method is proposed based on entropy and cross entropy formulas.