Dual hesitant fuzzy VIKOR method for multi-criteria group decision making based on fuzzy measure and new comparison method

This paper proposes an approach for multi-criteria group decision making (MCGDM) with dual hesitant fuzzy information, and proposes a score function and a comparison method of DHFEs, and develops a new distance measure forDHFEs.

Abstract

In the process of group decision making, dual hesitant fuzzy sets (DHFSs) are a very flexible tool for decision makers (DMs) to express their preferences for alternatives. Based on an extended VIKOR method, in this paper, we propose an approach for multi-criteria group decision making (MCGDM) with dual hesitant fuzzy information. To distinguish dual hesitant fuzzy elements (DHFEs) more efficiently, we propose a score function and a comparison method of DHFEs, and based on which we develop a new distance measure for DHFEs. After that, we use the fuzzy measures to characterize the interactive relationships among criteria, and then put forward a dual hesitant fuzzy VIKOR method for solving the MCGDM problems. Finally, we utilize a real example concerning the selection of a cooperative partner to illustrate the availability of the proposed method.