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

摘要： 针对语言比例二元组信息集成的问题，提出了语言比例二元组Bonferroni平均算子的群决策方法。基于基本单位区间单调（BUM）函数的定义，提出了三角模糊数的中心有序加权平均算子的概念。由于三角模糊数的中心有序加权平均算子和语言术语的数值表示（NR）之间存在交互关联，提出了用三角模糊数的中心有序加权平均算子代替语言术语的数值表示的方法，并将此方法得到的NR和语言术语的NR进行了对比分析。引入了语言比例二元组Bonferroni平均算子，介绍了语言比例二元组Bonferroni平均算子的群决策方法，并用一个实例来说明其可行性。

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