基于模糊蕴涵对模糊互补判断矩阵的一致性程度研究

Study on the Degree of Consistency of Fuzzy Complementary Judgment Matrices Based on Fuzzy Implications

基于模糊蕴涵，定义了模糊互补判断矩阵的一致性程度，给出了模糊互补判断矩阵一致性程度的相关性质以及该矩阵与其逆矩阵，补矩阵和对偶矩阵的一致性程度关系，这为决策者判断模糊互补判断矩阵的一致性提供理论依据，也为模糊互补判断矩阵的满意一致性研究提供新思路。

Based on fuzzy implications, we define the degree of consistency of fuzzy complementary judgment matrices, give the relate properties about the degree of consistency of fuzzy complementary judgment matrix, obtain the relation among the matrix and its inverse matrix, the complement matrix and the dual matrix. These results provide the theory evidence for the decision makers to judge the consistency of fuzzy complementary judgment matrices and also provide a new idea for the study of the satisfactory consistency of fuzzy complementary judgment matrices.