Hesitant fuzzy ELECTRE II approach: A new way to handle multi-criteria decision making problems
Hesitant fuzzy ELECTRE II approach: A new way to handle multi-criteria decision making problems
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DOI：
10.1016/j.ins.2014.08.054
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发表时间：
2015-01-20
影响因子：
8.1
通讯作者：
Xu, Zeshui
中科院分区：
文献类型：
--
作者：
Chen, Na;Xu, Zeshui
犹豫模糊集（HFS）允许元素与由几个可能值表示的集合的隶属度。从而为多准则决策（MCDM）过程中不同群体成员的不确定性信息提供了一种合适的表达方式。在本文中，我们提出了一种新的方法，称为HF-ELECTRE II方法，它将hfs的思想与ELECTRE II方法相结合，以有效地处理在处理MCDM问题时经常遇到的小组成员的不同意见。我们通过定义犹豫模糊一致性和不协调集的概念，并通过构造强弱优先关系来确定一组备选方案的排名，从而制定了该方法。通过数值算例说明了该方法的应用。此外，将HF-ELECTRE II方法与聚合算子和模糊群ELECTRE方法得到的备选方案排序进行了比较。在此基础上，构建了基于HF-ELECTRE II方法的决策支持系统来辅助决策，并讨论了HF-ELECTRE II方法的突出特点和未来的研究挑战。(C) 2014爱思唯尔公司版权所有。
Hesitant fuzzy set (HFS) permits the membership degrees of an element to a set represented by several possible values. Thus, it provides a suitable means to express uncertain information of different group members within the process of multi-criteria decision making (MCDM). In this paper, we suggest a new approach, named HF-ELECTRE II approach that combines the idea of HFSs with the ELECTRE II method, to efficiently handle different opinions of group members that are frequently encountered when handling the MCDM problems. We formulate the approach by defining the concepts of hesitant fuzzy concordance and discordance sets and by constructing the strong and weak outranking relations, which are employed to decide the ranking for a set of alternatives. Numerical examples are presented to exhibit the applications of the proposed method. Furthermore, a comparison of the alternatives' rankings derived from the HF-ELECTRE II method with those derived from the aggregation operators and the fuzzy group ELECTRE approach is made. After that, a decision supporting system based on the HF-ELECTRE II method is constructed to aid decision making, and the prominent characteristics of the HF-ELECTRE II method and future research challenges are also discussed. (C) 2014 Elsevier Inc. All rights reserved.