模糊互补矩阵的加性一致性阈值仿真  

The Approximate Threshold of Additive Consistency Index for Fuzzy Complementary Matrix

作　　者：张细香[1,2] 刘建勋[1] 雷静[2,3] 杨保安[2] 

机构地区：[1]嘉兴学院,浙江嘉兴314001 [2]东华大学旭日工商管理学院,上海200051 [3]上海商学院,上海200235

出　　处：《计算机仿真》2010年第1期316-318,333,共4页Computer Simulation

摘　　要：由于事物的不确定性、信息获取的限制、甚至专家知识的局限性,决策者在决策过程中很难用精确数来表示其偏好,而喜欢用模糊语言来表示。当决策者给出的模糊互补判断矩阵不满足加性一致性,加性一致性指标阈值的确定是一个值得研究的问题。一般来说,决策者给出的模糊互补矩阵具满意一致性,且加性一致性模糊互补矩阵一定是满意一致性模糊互补矩阵。MATLAB中计算机仿真方法构造了大量的满意一致模糊互补判断矩阵,通过计算其加性一致性指标值及其概率分布,获取模糊互补矩阵的加性一致性指标的逼近阈值(0.2)。如果模糊互补判断矩阵的加性一致性指标值小于等于0.2,则矩阵是可接受的;否则需要修订。Due to the uncertainty,constraints of knowledge,decision makers cannot provide exact numbers to express their preferences,and prefer to use fuzzy linguistic terms to express their preferences.If the given complementary matrix is not additive consistent,how to choose the threshold to judge the given complementary matrix＇s acceptability is worthy studying.Generally speaking,it is easy for a decision maker to give a fuzzy complementary matrix with satisfactory consistency.Meanwhile,a fuzzy complementary matrix with additive consistency must be satisfactory consistent.Thus,thousands of fuzzy complementary judgment matrices with satisfactory consistency were built in MATLAB and the additive consistency index of these matrices were computed.Through analyzing the distribution of the matrices＇ additive consistency indexes,the approximate threshold of additive consistency index was deduced.Therefore,if the additive consistency index of a given fuzzy complementary matrix is smaller than or equals 0.2,it is acceptable;otherwise,it needs to be revised.

关 键 词：加性一致性 满意一致性 模糊互补判断矩阵 阈值 仿真 

分 类 号：C934[经济管理—管理学] TP312[自动化与计算机技术—计算机软件与理论]