基于梯形模糊互反判断的一致性分析

Consistency Analysis Based on Trapezoidal Fuzzy Reciprocal Judgment

针对梯形模糊互反判断矩阵的一致性问题,首先简要分析了近期相关研究成果存在的不足,然后提出了两个梯形模糊数的相容性概念,最后基于相容性给出了关于梯形模糊互反判断的满意一致性的定义及判定定理。该方法将梯形模糊互反判断矩阵、三角模糊互反判断矩阵和区间数互反判断矩阵统一起来,给出了一种统一形式的一致性定义,克服了以往方法的局限性,具有较强的辨别力,且计算简单、便于应用。

In view of the consistency of trapezoidal fuzzy reciprocal judgment matrix,this paper first briefly analyzes the shortcomings of recent relevant research,and then puts forward the compatibility concept of two trapezoidal fuzzy numbers.Finally,based on the compatibility,the definition of satisfactory consistency of trapezoidal fuzzy reciprocal judgment and the judgment theorem for testing satisfactory consistency are given.The trapezoidal fuzzy reciprocal judgment matrix,triangular fuzzy reciprocal judgment matrix and interval number reciprocal judgment matrix are unified,and a unified form of consistency definition is given,which overcomes the limitations of previous methods,has strong discriminative power,and is simple in calculation and convenient for application.