梯形模糊互反判断矩阵的一致性及修正  

Consistency and correction of trapezoidal fuzzy number reciprocal judgment matrix

作　　者：吕智颖[1,2] 黄天民[1] 郑理伟[3] 梁学章[4] 

机构地区：[1]西南交通大学数学学院,成都610031 [2]齐齐哈尔大学理学院,齐齐哈尔161006 [3]成都信息工程学院应用数学学院,成都610225 [4]吉林大学数学学院,长春130012

出　　处：《控制与决策》2014年第12期2207-2211,共5页Control and Decision

基　　金：国家自然科学基金项目(11271041);中央高校科研业务费专项资金项目(swjtu11ZT29)

摘　　要：研究具有严格偏好关系的梯形模糊互反判断矩阵满意一致性的判定及其修正方法.首先,将梯形模糊互反判断矩阵转化为判断矩阵和排列矩阵;然后,根据梯形模糊互反判断矩阵的排列矩阵来判定是否具有满意一致性;基于梯形模糊数的类质心,给出将排列矩阵转化成上三角矩阵的方法,从而实现方案的排序;最后,通过项目评估问题验证了所提出方法的实用性.The decision problem of the satisfying consistency is studied, as well as the approach for regulating consistency where the strict preference relation is given as the form of trapezoidal fuzzy number reciprocal judgment matrix. Firstly, the trapezoidal fuzzy number reciprocal judgment matrix is transformed to the judgment matrix and the permutation matrix. Then, it is judged whether a trapezoidal fuzzy number reciprocal judgment matrix has satisfying consistency according to its permutation matrix. Based on the similar centroid of trapezoidal fuzzy number, the method of transforming a permutation matrix to an upper triangular matrix is given and the priority of alternatives is derived. Finally, a project evaluation problem is given to illustrate the feasibility of the proposed method.

关 键 词：梯形模糊数 互反判断矩阵 排列矩阵 满意一致性 类质心 风险投资 

分 类 号：C934[经济管理—管理学]