ROMJIST Volume 21, No. 4, 2018, pp. 328-343
Kexing ZHAO, Xianjiu HUANG An extension of ELECTRE to multi-criteria decision making problems with extended hesitant fuzzy sets
ABSTRACT: Extended hesitant fuzzy sets (EHFSs), which are an extension of hesitant fuzzy sets, consider possible value-groups for the membership of X into the set A and increase the richness of numerical representation based on the value-groups. Extended hesitant fuzzy set is a very useful tool in handling decision making problems, due to it can identify different decision makers (DMs) in decision making. Some extended hesitant fuzzy elements (EHFEs) aggregation operators are proposed. In this paper, the dominance relation and opposition relation for EHFEs which based on traditional ELECTRE methods are introduced and the method for comparing EHFEs is proposed. To extend EHFSs to multi-criteria decision making, we proposed an outranking approach which is similar to ELECTRE III, and the data of outranking approach is in the form of EHFEs. Then, we combine the propose method with the proposed outranking approach to ranking alternatives in multi-criteria decision making. Finally, an example is given to illustrate the developed approach.KEYWORDS: Extended hesitant fuzzy set, extended hesitant fuzzy elements, ELECTRE III, outranking approach, multi-criteria decision makingRead full text (pdf)