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

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Abstract

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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Acknowledgements

The authors are most grateful to the editor and anonymous referees for their constructive suggestions that have led to an improved version of the paper. The work was partly supported by the National Natural Science Foundation of China (No. 71371107), University Natural Sciences Project of Jiangsu Province (No. 16KJB110015) and University Social Sciences Project of Jiangsu Province (No. 2016SJD630014).

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Feng, X., Wei, C. & Liu, Q. EDAS Method for Extended Hesitant Fuzzy Linguistic Multi-criteria Decision Making. Int. J. Fuzzy Syst. 20, 2470–2483 (2018). https://doi.org/10.1007/s40815-018-0504-5

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