模糊互补判断矩阵的相容性及一致性研究

Research on Compatibility and Consistency of Fuzzy Complementary Judgement Matrices

给出了模糊互补判断矩阵的相容性、权重矩阵等概念 ,对模糊互补判断矩阵的相容性和一致性详细地进行了研究 ,证明了在模糊互补判断矩阵 Ai(i=1 ,2 ,… ,s)是一致性可接受的情况下 ,它们的综合判断矩阵也是一致性可接受的 ,从而为模糊互补判断矩阵在决策领域中的广泛应用奠定了理论基础。

This paper presents the concepts of compatibility and weight matrices of fuzzy complementary judgement matrices, makes a detailed study of consistency of fuzzy complementary judgement matrix and proves that the complex judgement matrix is of acceptable consistency while all fuzzy complementary judgement matrices A i(i=1,2,...,s) are of acceptable consistency. Thus, a theoretic basis is developed for the broad applications of fuzzy complementary judgement matrix in the field of decision making.