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

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• 作者：Zhiliang Ren^a ; ^{ren_zhi_liang@126.com} ; Zeshui Xu^a ; ^b ; ^{xuzeshui@263.net} ; Hai Wang^a ; ^{wanghai17@sina.com}
• 关键词：Dual hesitant fuzzy set ; Fuzzy measure ; VIKOR method ; Comparison method ; Distance measure ; Prospect theory
• 刊名：Information Sciences
• 出版年：2017
• 出版时间：May 2017
• 年：2017
• 卷：388-389
• 期：Complete
• 页码：1-16
• 全文大小：1316 K
• 卷排序：388

文摘

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.