摘要
研究三角模糊数互补判断矩阵的性质和排序问题.建立了三角模糊数互反判断矩阵与互补判断矩阵之间的相互转化关系,给出了三角模糊数互补判断矩阵完全一致性、严格强传递性以及弱传递性的概念,并研究了它们之间的关系,论证了完全一致性等定义的合理性,构建了基于最小二乘的三角模糊数互补判断矩阵排序方法.算例分析表明,该方法是可行而有效的.
The proprieties and priority problems of triangular fuzzy number complementary judgment matrix are studied. Transformation relation between triangular fuzzy number reciprocal judgment matrix and triangular fuzzy number complementary judgment matrix is set up. The concepts of complete consistency, restricted max-max transitivity and weak transitivity for triangular fuzzy number complementary judgment matrix are introduced with their relations studied. The reasonableness of the concept of complete consistency for triangular fuzzy number complementary judgment matrix is discussed. Priority of triangular fuzzy number complementary judgment matrix is set up based on least square method and is illustrated by a numerical number.
出处
《控制与决策》
EI
CSCD
北大核心
2006年第8期903-907,共5页
Control and Decision
基金
国家自然科学基金项目(70473037)
国家教育部博士学科点科研基金项目(20020287001)
关键词
三角模糊数
互补判断矩阵
完全一致性
严格强传递性
排序
Triangular fuzzy number
Complementary judgment matrix
Complete consistency
Restricted max-max transitivity
Priority
