International Journal of Fuzzy Systems

, Volume 21, Issue 7, pp 2192–2203 | Cite as

Extended ELECTRE I Method with Multi-hesitant Fuzzy Information

  • Juan-juan Peng
  • Jian-qiang WangEmail author
  • Xiao-hui Wu


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.


Multi-criteria decision-making Multi-hesitant fuzzy sets ELECTRE I Choquet integral 



The authors would like to acknowledge the editors and anonymous referees for their valuable and constructive comments and suggestions that immensely facilitated the improvement of this paper. This study was supported by the National Natural Science Foundation of China (Nos. 71701065 and 71871228), and China Postdoctoral Science Foundation (No. 2017M610511).


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Copyright information

© Taiwan Fuzzy Systems Association 2019

Authors and Affiliations

  1. 1.School of BusinessCentral South UniversityChangshaChina
  2. 2.School of InformationZhejiang University of Finance and EconomicsHangzhouChina

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