基于可能度和误差分析的区间数互补矩阵排序法

给出了区间数互补判断矩阵、均值互补判断矩阵、偏差矩阵等概念，基于可能度和误差分析，提出了区间数互补判断矩阵的一种排序方法。该方法首先利用区间数互补判断矩阵构造均值互补判断矩阵和偏差矩阵，然后基于互补判断矩阵排序公式、误差传递公式和可能度公式，求出区间数互补判断矩阵的排序向量，并对决策方案进行择优。最后通过算例对方法的有效性和实用性进行了说明。

Priority Method Based on Possibility and Error Analysis for Interval Number Complementary Judgement Matrix

The concepts of interval number complementary judgement matrix, mean complementary judgement matrix and deviation matrix are defined, and a priority method based on possibility and error analysis for interval number complementary judgement matrix is proposed. The method first utilizes interval number complementary judgement matrix to construct mean complementary judgement matrix and deviation matrix and, based on the priority formula of complementary judgement matrix and the formulas of error transmission and possibility, to get the priority vector of interval number complementary judgement matrix, and then select the most desirable alternative(s). Finally, an illustrative example is given to verify the proposed method and to demonstrate its effectiveness and practicality.