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Jibin Lan, Wenqian Kang and Mingming Hu* Business School, Guangxi University, Nanning, Guangxi 530004, P.R. China *Corresponding author Abstract—Hesitant fuzzy set allow an element in the domain with a set of membership degree between 0 and 1, which is a powerful tool to express the uncertainty alternative assessment value of decision makers. A hesitant fuzzy multiple attribute decision making method is proposed based on additive consistency theory of fuzzy complementary judgment matrix. First, we define mean residual between two hesitant fuzzy elements and a new fuzzy complementary judgment matrix and then prove it has additive consistency; on this basis, we gain a new weighted fuzzy complementary judgment matrix. Then, the fuzzy complementary judgment matrix is implemented to rank and select alternatives. Finally, an example is given to illustrate the feasibility and effectiveness of the proposed method.

A Hesitant Fuzzy Multiple Attribute Decision Making Method Based on Complementary Judgment Matrix