Multiple Attribute Group Decision Making Under Hesitant Fuzzy Environment

Hesitant fuzzy set is a very useful means to depict the decision information in the process of decision making. In this paper, motivated by the extension principle of hesitant fuzzy sets, we export Einstein operations on fuzzy sets to hesitant fuzzy sets, and develop some new arithmetic averaging aggregation operators, such as the hesitant fuzzy Einstein weighted averaging (\(\mathrm{{HFW}}{\mathrm{{A}}^\varepsilon }\)) operator, hesitant fuzzy Einstein ordered weighted averaging (\(\mathrm{{HFOW}}{\mathrm{{A}}^\varepsilon }\)) operator, and hesitant fuzzy Einstein hybrid weighted averaging (\(\mathrm{{HFHW}}{\mathrm{{A}}^\varepsilon }\)) operator, for aggregating hesitant fuzzy elements. Finally, we apply the proposed operators to multiple attribute group decision making with hesitant fuzzy information.

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