Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2013 | 10.1016/j.knosys.2012.08.019 | Knowl.-Based Syst. |
Keywords | Field | DocType |
hesitant fuzzy set,decision support system,fuzzy set,new fuzzy set,group decision,proposed technique,generalized hesitant fuzzy set,possible membership,decision maker,intuitionistic fuzzy set,group decision making | Data mining,Defuzzification,Fuzzy classification,Computer science,Fuzzy set operations,Fuzzy mathematics,Fuzzy set,Artificial intelligence,Type-2 fuzzy sets and systems,Fuzzy number,Membership function | Journal |
Volume | ISSN | Citations |
37, | 0950-7051 | 90 |
PageRank | References | Authors |
2.15 | 32 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Gang Qian | 1 | 784 | 63.77 |
Hai Wang | 2 | 774 | 95.30 |
Xiangqian Feng | 3 | 128 | 5.59 |