Hesitant Fuzzy Multi-attribute Decision Making Method based on a New Entropy Measure

Abstract

Entropy measure is an important information measure of hesitant fuzzy sets. This article will construct a new entropy measure and then develop a new decision method for the multi-attribute decision making problem with attribute values expressed with hesitant fuzzy elements. Firstly, a new entropy measure of hesitant fuzzy sets is constructed, then the weights are obtained using the entropy weight method, and positive ideal solution and negative ideal solution are defined. Further, based on the conception of TOPSIS, the relative closeness degree is calculated to rank the alternatives. Finally, a practical example is examined to demonstrate the effectiveness and feasibility of the proposed method.