模糊互补判断矩阵排序的最小方差法

The Least Variance Priority Method (LVM) for Fuzzy Complementary Judgement Matrix

给出了模糊互补序传递判断矩阵的概念 ,并从最优化角度提出了模糊互补判断矩阵的最小方差排序方法 .证明了该法具有一些优良性质 ,如 :保序性 ,置换不变性等 .从而弥补了模糊互补判断矩阵排序理论和方法的严重不足 .最后进行了算例分析 .

This paper gives a definition of rank transitive fuzzy complementary judgement matrix, and presents a priority method-the least variance priority method(LVM) for fuzzy complementary judgement matrix. Some desirable properties such as rank preservation, permutation invariability, etc. are proved. The method develops the theory and methodology of priority of fuzzy complementary judgement matrix. Finally, a numerical example is also given.