期刊
KNOWLEDGE-BASED SYSTEMS
卷 37, 期 -, 页码 357-365出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.knosys.2012.08.019
关键词
Group decision making; Multi criteria decision making; Hesitant fuzzy sets; Intuitionistic fuzzy sets; Aggregation operator; Decision support system
资金
- Humanities and Social Sciences Project of Ministry of Education [10YJC630269]
- University Science Research Project of Jiangsu Province [11KJD630001]
Hesitant fuzzy sets are very useful to deal with group decision making problems when experts have a hesitation among several possible memberships for an element to a set. During the evaluating process in practice, however, these possible memberships may be not only crisp values in [0,1], but also interval values. In this study, we extend hesitant fuzzy sets by intuitionistic fuzzy sets and refer to them as generalized hesitant fuzzy sets. Zadeh's fuzzy sets, intuitionistic fuzzy sets and hesitant fuzzy sets are special cases of the new fuzzy sets. We redefine some basic operations of generalized hesitant fuzzy sets, which are consistent with those of hesitant fuzzy sets. Some arithmetic operations and relationships among them are discussed as well. We further introduce the comparison law to distinguish two generalized hesitant fuzzy sets according to score function and consistency function. Besides, the proposed extension principle enables decision makers to employ aggregation operators of intuitionistic fuzzy sets to aggregate a set of generalized hesitant fuzzy sets for decision making. The rationality of applying the proposed techniques is clarified by a practical example. At last, the proposed techniques are devoted to a decision support system. (C) 2012 Elsevier B.V. All rights reserved.
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