六类不确定型判断矩阵的相容性研究

On Compatibility of Six Kinds of Uncertain Judgement Matrices

介绍区间数互补判断矩阵、区间数互反判断矩阵、区间数混合判断矩阵、三角模糊数互补判断矩阵、三角模糊数互反判断矩阵和三角模糊数混合判断矩阵等概念 ,给出衡量六类不确定型判断矩阵 (区间数互补判断矩阵、区间数互反判断矩阵、区间数混合判断矩阵、三角模糊数互补判断矩阵、三角模糊数互反判断矩阵以及三角模糊数混合判断矩阵 )同类型之间相容性的两个通用指标 ,并给出上述六类不确定型判断矩阵相容性的度量准则 ,最后进行算例分析。

This paper first introduces the definitions of interval number complementary judgement matrix, interval number reciprocal judgement matrix,interval number hybrid judgement matrix, triangular fuzzy number complementary judgement matrix,triangular fuzzy number reciprocal judgement matrix, triangular fuzzy number hybrid judgement matrix, etc., and then gives two common compatibility indices for measuring six kinds of uncertain judgement matrices ( interval number complementary judgement matrices,interval number reciprocal judgement matrices,interval number hybrid judgement matrix, triangular fuzzy number complementary judgement matrix, triangular fuzzy number reciprocal judgement matrices and triangular fuzzy number reciprocal judgement matrices). A criterion to measure the compatibility of the uncertain judgement matrices is provided and a numerical example is also given.