关键词: 模糊数, Bonferroni平均算子, 语言比例2元组, 群决策

Abstract: A kind of group decision making method of Bonferroni mean operator with linguistic proportional 2-tuple is proposed, which aims at the problem of linguistic proportional 2-tuple aggregation of information. Firstly, the concept of central ordered weighted average operator of triangular fuzzy numbers is derived, according to the definition of Basic Unit interval Montone（BUM） function. Secondly, there is an interactive relation between central ordered weighted average operator of triangular fuzzy numbers and the Numerical Representation（NR） of linguistic term?set, accordingly, the method of substituting central ordered weighted?average operator of triangular fuzzy numbers for numerical representation of linguistic term is developed, meanwhile, the NR obtained by this method is compared with the NR of linguistic term. Finally, the paper introduces the concept of Bonferroni mean operator of linguistic proportional 2-tuple, puts forward a kind of group decision making method of Bonferroni mean operator with linguistic proportional 2-tuple and illustrates its feasibility with an example.

Key words: fuzzy number, Bonferroni mean operator, linguistic proportioal 2-tuple, group decision