一种基于区间语言判断矩阵的群决策模型  

A Group Decision-making Model Based on Interval Linguistic Judgment Matrices

作　　者：刘卫锋[1] 常娟[1] 

机构地区：[1]郑州航空工业管理学院数理系,河南郑州450015

出　　处：《海南师范大学学报（自然科学版）》2012年第2期122-126,共5页Journal of Hainan Normal University（Natural Science）

基　　金：河南省教育厅科学技术研究重点项目(12B110027);河南省哲学社会科学规划项目(2011BJJ021);郑州航空工业管理学院青年科研基金项目(2011113003)

摘　　要：研究了偏好信息为区间语言判断矩阵的群决策问题.创建一个转换公式,将专家个体区间语言判断矩阵转化为区间数互补判断矩阵,并对判断矩阵转换的一致性进行了系统地研究;通过将区间数互补判断矩阵进行加权算术平均集结为专家群组区间数互补判断矩阵,进而利用区间数互补判断矩阵的排序向量方法求出专家群组排序向量,从而实现备选方案的排序和择优.最后通过算例说明了方法的可行性与有效性.This paper discusses group decision-making model for interval linguistic judgment matrices. Firstly, by constructing a transformation formula, interval linguistic judgment matrix of each expert is transformed into interval comple- mentary judgment matrix, and a consistency of transformation of judgment matrices is systematically analyzed this paper. Then, the interval complementary judgment matrices are aggregated into interval complementary judgment matrix, which can reflect expert group＇ s preference, by using weighted arithmetic average. And the priority vector of expert group is ob- tained by using the priority method for interval complementary judgment matrix and the priority of alternatives is determined. Finally, an example is used to illustrate the feasibility and applicability of the proposed method.

关 键 词：群决策 区间语言判断矩阵 区间数互补判断矩阵 一致性 

分 类 号：O223[理学—运筹学与控制论] C934[理学—数学]