摘要
研究了三角模糊数互补判断矩阵的排序问题。根据三角模糊数互补判断矩阵加性一致性的概念,建立了一个基于最小二乘的非线性规划模型。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,并利用三角模糊数期望值公式对决策方案进行排序。最后通过算例验证该方法的可行性和有效性。
The priority methods of triangular fuzzy number complementary judgment matrix are studied. According to the concept of additive consistency for triangular fuzzy number complementary judgment matrix, a non-linear programming model based on least square method is established. The ranked vector of the judgment matrix is obtained by solving the model. By using an expected value formula of triangular fuzzy number, the decision alternatives are ranked. Finally, a numerical example is given to prove the feasibility and validity
出处
《江苏理工学院学报》
2008年第3期59-62,81,共5页
Journal of Jiangsu University of Technology
关键词
三角模糊数互补判断矩阵
加性一致性
非线性规划模型
排序
triangular fuzzy number complementary judgment matrix
additive consistency
non-linear programming model
priority
