语言判断矩阵的一致性调整方法  

Method for regulating consistency of linguistic judgment matrix

作　　者：靳凤侠[1] 黄天民[1] 

机构地区：[1]西南交通大学数学学院,四川成都610031

出　　处：《系统工程与电子技术》2013年第7期1472-1476,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金(61100046);中央高校基本科研业务费专项资金(swjtu11ZT29);四川省应用基础研究计划项目(2011JY0092)资助课题

摘　　要：研究两两方案之间具有严格偏好关系的语言判断矩阵满意一致性判定方法,若不具有一致性给出调整方法。首先,利用语言判断矩阵的0-1型排列偏好关系矩阵是否是上三角矩阵来判定语言判断矩阵是否具有满意一致性;接着,给出判断不合逻辑的3个方案比较结果构成循环圈矩阵的定义,在循环圈矩阵的基础上找出构成循环圈的3个方案,根据方案行偏好值的大小对不合逻辑的循环圈进行调整,得出方案的优劣顺序和调整后的语言判断矩阵;最后,通过实例验证该方法的合理性和有效性。The problem of the satisfying consistency of linguistic judgment matrixes with strict preference relation and the approach for regulating consistency are studied.First,whether a linguistic judgment matrix has a satisfying consistency is judged according to whether its 0-1 permutation preference relation matrix is an upper triangular matrix.Then,a definition of cyclic matrix is presented,by means of which all the teams of judgment elements that are illegitimate in forming the cyclic matrix can be gotten and thereby efficiently adjusting the circles according to the size of the row preference values.The ranking of alternatives and the linguistic judgment matrix with satisfying consistency are gotten.Finally,an example is illustrated to demonstrate the validity and practicality of this proposed method.

关 键 词：群决策 语言判断矩阵 满意一致性 排列矩阵 

分 类 号：N945.25[自然科学总论—系统科学] C934[经济管理—管理学]