群决策中多形式偏好信息的转换及一致性分析  

Transform and Consistency Analysis of Preference Information with Different Forms in Group Decision Making

作　　者：熊才权[1] 张玉[1] 

机构地区：[1]湖北工业大学计算机学院,武汉430068

出　　处：《计算机工程》2009年第22期188-190,共3页Computer Engineering

基　　金：湖北省自然科学基金资助项目(2007ABA025)

摘　　要：描述序关系、效用值、互补判断矩阵、互逆判断矩阵4种形式的偏好信息,给出将前3种偏好信息转换到互补判断矩阵的公式。在集结前,对转换后的互补判断矩阵进行一致性分析,如果没有达到规定的一致性指标,找出该矩阵中一致性最差的元素,并提交给其决策者进行调整,直到达到一致性指标。通过一个算例说明该方法的应用过程。This paper describes four forms of preference information such as preference ordering, utility value, multiplicative judgment matrix and reciprocal judgment matrix, and gives the computational formulas to transform the front three forms of preference information into the form of reciprocal judgment matrix. Before aggregating, it is claimed to do consistency analysis for each reciprocal judgment matrix. When the consistency indicator of the reciprocal judgment matrix does not reach the threshold, the worst element of the matrix is abstracted to urge the decision maker who makes the preference to adjust his or her judgments until the consistency threshold is reached. An example is given to illustrate the use of the method.

关 键 词：群决策 偏好信息 一致性分析 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]