区间模糊互补判断矩阵的一致性及权重计算

Consistency of the fuzzy complementary judgment matrix of interval numbers and the method of calculating the weight-vector

文章通过对区间数模糊互补判断矩阵中的一致性信息和冗余信息的研究,给出了此类矩阵的弱一致性、一致性及等价判断矩阵的定义;讨论了他们的一些性质和给出判定区间数模糊互补判断矩阵是否具有弱一致性、一致性的定理和算法;最后还给出了权重向量的定义和通用的计算公式,并举例说明其计算简单性。

By studying the coincident information in the judgment matrix of interval numbers, the con- cepts of weak consistency and consistency are given, and some corresponding properties are discussed. Several necessary and sufficient conditions are put forward and proved. The concept of the weight-vec- tor and the algorithm for calculating it are presented. An example is also included.