Study on approaches for determining the priority weight vector of fuzzy judgment matrix

The definitions of two kinds of consistency of fuzzy judgment matrix are given. After analyzing the characteristics and problems of the existing methods for determining the priority weight vector of fuzzy judgment matrix, we systematically study two kinds of priority approaches. In the first kind of approach, the fuzzy judgment matrix is transformed into an AHP judgment matrix, and the priority weight vector of the AHP judgment matrix is regarded as that of the fuzzy judgment matrix. In the second kind of approach, the priority weight vector is calculated directly from a consistent fuzzy judgment matrix or one with satisfactory consistency. In the end, some examples are presented to illustrate the proposed approaches.