基于乘性模糊互补判断矩阵的FAHP

FAHP Based on Multiplicative Consistency Fuzzy Complementary Judgment Matrix

根据乘性一致性的定义,从人的主观判断与其权重的函数关系出发,获得了乘性模糊互补判断矩阵的元素表达式,论证了利用乘性模糊互补判断矩阵求取因素相对权重的可行性,最后给出了一种基于乘性一致模糊判断矩阵的排序方法。从而使得乘性模糊互补判断矩阵的应用的理论基础更加坚实。

In this essay,firstly,according to the multiplicative consistency,the expression of the element of multiplicative fuzzy complementary judgment matrix is obtained from the functional relation between the subjective judgment and the relative weightiness of the objects.And then the feasibility to generate the relative weightiness of elements by multiplicative consistency fuzzy complementary judgment matrix is demonstrated.Finally,a method for ranking based on multiplicative consistency fuzzy complementary judgment matrix is put forward.Accordingly the theoretical basis of the application of multiplicative consistency fuzzy complementary judgment matrix becomes more stable.