基于Hausdorff距离的模糊数互补判断矩阵排序研究

Study on Ranking Method for Reciprocal Judgment Matrix with Fuzzy Numbers Based on Hausdorff Metric Distance

基于Bonissone近似计算、Hausdorff距离和模糊折衷型决策方法,给出带有梯形模糊数互补判断矩阵的一种排序方法。同时给出精确值、三角模糊数的互补判断矩阵转化为梯形模糊数互补判断矩阵的方法,因此本文方法同样适合于处理精确值、三角模糊数的互补判断矩阵的排序问题。最后用算例说明了计算过程。

<Abstrcat> Propose method for ranking reciprocal judgment matrix with trapezoidal fuzzy numbers (based) on Bonissone calculational method, Hausdorff metric distance and fuzzy compromise decision (method.) By introducing the methods for transforming exact numbers and triangular fuzzy numbers (into) trapezoidal fuzzy numbers, the ranking method is also practicable for ranking reciprocal judgment matrix with exact numbers and triangular fuzzy numbers. The computational process is illustrated by a numerical example.