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A Consensus Process for Decision Making with Hesitant Fuzzy Linguistic Term Sets

A fundamental aspect of group decision making is looking for approaches to reach consensus. This paper aims to propose a new approach to deal with the consensus reaching process for multiple attribute group decision making (MAGDM) with hesitant fuzzy linguistic information. The possibility distribution based approach is introduced to manage hesitant fuzzy linguistic term sets (HFLTSs). Based on the possibility distributions corresponding to the HFLTSs, a consensus degree for each expert is defined based on the distance between the individual decision matrix and the collective decision matrix. A simple procedure to reach a predefined consensus level is then developed where the feedback mechanism only uses the information of the consensus measure. A numerical example is provided to show how the computation of the proposed model goes.