关键词: 犹豫模糊语言集, 可能度, 相对差异指数, 最优度, 线性分配模型

Abstract: For the hesitant fuzzy linguistic information Multi-Attribute Decision Making（MADM） problems, based on the hesitant fuzzy linguistic possibility degree, a linear assignment decision making model is developed. Firstly, with the envelope transformation method of Hesitant Fuzzy Linguistic Element（HFLE）, the concepts of possibility degree and relative difference index between the HFLE are introduced. Then, some properties are discussed, in which the possibility degree matrix and relative difference matrix are fuzzy complementary judgment matrices, and the optimal degree of HFLE is constructed. In the end, under the hesitant fuzzy linguistic environment, a novel linear assignment decision making model is proposed to determine the collected optimal degree of alternatives, and the most desirable alternative is selected. The numerical example shows that the rationality and effectiveness of the developed model.

Key words: hesitant fuzzy linguistic set, possibility degree, relative difference index, optimal degree, linear assignment model