因素状态值为语言标度的变权综合决策方法

Variable weights multifactor decision making based on linguistic factor state values

综合采用语言值2元组方法和拓展语言值论域的方法建立一种新的纯语言值二元组常权综合决策模型,进一步,在拓展语言值论域与实数集[0,1]之间定义两个转换函数,由此引入语言值效用向量等概念.借助语言值效用向量、实数型变权向量和实数型状态变权向量导出语言值变权向量及状态变权向量,据此建立相应的语言值变权公式和变权综合决策模型.最后给出一个群决策的应用实例.

A new 2-tuple linguistic decision-making model based on pure linguistic labels is presented by applying the classical 2-tuple fuzzy linguistic representation model and the continuous linguistic model synthetically. Furthermore, two transforming functions between the extended linguistic set and the interval of [0, 1] are defined, and the concept of linguistic utility vector of linguistic label is introduced. Later, linguistic variable weight vector and linguistic state variable weight vector are constructed by using utility vector of linguistic label and classical variable weight vector as well as classical state variable weight vector. Simultaneously, the formula for calculating variable weights based on linguistic labels and the variable weights synthesis decision-making models are proposed. Finally, an example of group decision-making is presented.