Granular Computing Based Hesitant Fuzzy Multi-criteria Decision Making
WANG Baoli1,2, LIANG Jiye1,3, HU Yunhong2
1.School of Computer and Information Technology, Shanxi University, Taiyuan 030006 2.Department of Applied Mathematics, Yuncheng University, Yuncheng 044000 3.Computer Science and Technology Department, Taiyuan Normal University, Jinzhong 030619
Abstract A multi-criteria decision making method is proposed based on granular computing in hesitant fuzzy setting. Firstly, the possibility degree is defined for comparing hesitant fuzzy elements in a hesitant fuzzy set and an additive consistent fuzzy preference matrix is constructed based on the defined possibility degrees. Secondly, the criteria weights are determined by the preorder entropies and the similarity degree of preorder granular structures. Thirdly, an ordered vector is obtained by integrating the corresponding fuzzy preference matrices with the criteria weights. The criteria weights are computed from the evaluation information content and the relations between orders of the individual criteria and the whole evaluation system. The final ranking is obtained by weighting the ranking order under each criterion. Finally, a case study is utilized to verify the effectiveness and feasibility of the proposed method.
Fund:Supported by National Natural Science Foundation of China (No.61432001,11241005), Shanxi Provincial Foundation for Returned Scholars (No.2015-093), Leading Academic Discipline Project of Applied Mathematics in Yuncheng University
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2016, Vol. 29 
