EDAS Method for Extended Hesitant Fuzzy Linguistic Multi-criteria Decision Making

Extended hesitant fuzzy linguistic term set (EHFLTS) is an effective means to assess the hesitant qualitative information in multi-criteria group decision-making environment. We extend the Evaluation Based on Distance from Average Solution (EDAS) method to the extended hesitant fuzzy linguistic environment, which use average solution for appraising alternatives. The average solutions according to all the criteria are determined by the extended hesitant fuzzy linguistic center OWA operator, which is based on convex combinations of two EHFLTSs and center OWA operator. In order to calculate positive distance from average and negative distance from average, the possibility degree formula for comparing EHFLTSs is proposed. According to the appraisal score, the preference order or the most suitable alternative can be ranked. Finally, the feasibility and efficiency of the extended EDAS is demonstrated by through the example.

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