Weighted Dual Hesitant Fuzzy Sets and Its Application in Group Decision Making

Abstract

The dual hesitant fuzzy set(DHFS) is a useful tool to deal with situations in which people are hesitant in providing their satisfaction degree and dissatisfaction degree. In this paper, we introduce the concepts of weighted dual hesitant fuzzy set(WDHFS) and weighted dual hesitant fuzzy element(WDHFE). Furthermore, we introduce some basic operations of WDHFE, investigate their operation properties, propose the score function and accuracy function of WDHFE to compare two weighted dual hesitant fuzzy elements, and present two aggregation operators to aggregate weighted dual hesitant fuzzy information. In addition, we develop an approach of group decision making based on weighted dual hesitant fuzzy environment. Finally, one numerical example is used to illustrate the effectiveness and practicality of our proposed approach.