基于一致性逼近的三角模糊数互补判断矩阵的排序方法  

The Priority Method Based on Consistency Approximation for Triangular Fuzzy Complementary Judgment Matrix

作　　者：苏哲斌[1] 

机构地区：[1]西安文理学院数学系,陕西西安710065

出　　处：《模糊系统与数学》2009年第4期126-130,共5页Fuzzy Systems and Mathematics

基　　金：西安文理学院专项科研基金资助项目(KYC200722)

摘　　要：研究了元素为三角模糊数形式的互补判断矩阵的一致性和排序问题。分析了三角模糊数互补判断矩阵和三角模糊数互反判断矩阵之间的相互转换关系,提出了这两类判断矩阵完全一致性的概念并得到了三角模糊数互补判断矩阵的元素和排序权值之间的关系,在此基础上建立了一个多目标优化模型,通过求解该模型得到三角模糊数互补判断矩阵的排序向量,利用已有的模糊数比较大小公式得到方案的排序,最后给出了一个算例。The consistency and priority problems of triangular fuzzy complementary judgment matrix are studied in which the elements are composed of triangular fuzzy numbers. After analyzing the mutual transforming relations of triangular fuzzy complementary judgment matrix and triangular fuzzy reciprocal judgment matrix, the concept of complete consistency is given for two sorts of judgment matrices. Based on the relationships between ranking value and elements of triangular fuzzy complementary judgment matrix, a multi-objective optimal model is established and the priority vector is obtained by solving this model. Using an existing priority formula of triangular fuzzy numbers, the decision alternatives are ranked. Finally, a numerical example is given.

关 键 词：三角模糊数 互补判断矩阵 一致性 多目标最优化 排序 

分 类 号：C934[经济管理—管理学]