Archimedean Aggregation Operators Based on Dual Hesitant Fuzzy Set and Their Application to GDM

Abstract

Many information fusion methods have been widely investigated to tackle group decision making (GDM) problem under dual hesitant fuzzy (DHF) environment. Nevertheless, traditional DHF information fusion methods are not quite perfect and they could be improved. In this study, we introduce the Archimedean t-conorm and t-norm (ATT) to DHF environment. We first introduce the ATT operations for DHF information, some existing operations are proved to be the exceptional cases of the proposed ones. Then, several new aggregation operators for DHF information are proposed based on ATT operations. Finally, an actual case about the selection of cooperative hospital as an emergency hospital for a company is studied based on the proposed methods.

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