Research on compatibility and consistency of fuzzy complementary judgment matrices

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