期刊
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
卷 21, 期 7, 页码 2192-2203出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s40815-019-00716-9
关键词
Multi-criteria decision-making; Multi-hesitant fuzzy sets; ELECTRE I; Choquet integral
类别
资金
- National Natural Science Foundation of China [71701065, 71871228]
- China Postdoctoral Science Foundation [2017M610511]
Multi-hesitant fuzzy sets (MHFSs) are hesitant fuzzy sets (HFSs) with membership function, permitting the same evaluation value to be repeated several times. MHFSs can depict uncertain information more effectively than HFSs. This study defined three outranking relations of multi-hesitant fuzzy numbers (MHFNs), namely strong dominant, weak dominant and indifferent relationships, based on the elimination and choice translating reality (ELECTRE) I method. Thereafter, we discussed the corresponding properties of the three outranking relations. We also presented an extended ELECTRE I method, in which the criteria are correlated to select the optimal alternatives, by combination of outranking relations and Choquet integral. Eventually, an application example of MHFNs was presented, and a comparative analysis was performed based on the same example.
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