Applications of the extent analysis method on fuzzy AHP

In this paper, a new approach for handling fuzzy AHP is introduced, with the use of triangular fuzzy numbers for pairwise comprison scale of fuzzy AHP, and the use of the extent analysis method for the synthetic extent value Si of the pairwise comparison. By applying the principle of the comparison of fuzzy numbers, that is, V(M(1) greater than or equal to M(2)) = 1 iff m(1) greater than or equal to m(2), V(M(2) greater than or equal to M(1)) = hgt(M(1) boolean AND M(2)) = mu(M1)(d), the vectors of weight with respect to each element under a certain criterion are represented by d(A(i)) = min V(S-i greater than or equal to S-k), k = 1, 2,..., n; k not equal i. This decision process is demonstrated by an example.