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 comparison 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(M1⩾M2) = 1 iff m1⩾m2, V(M2⩾M1) = hgt(M1 ∩ M2) = μM1 (d), the vectors of weight with respect to each element under a certain criterion are represented by d(Ai) = min V(Si⩾Sk), K = 1, 2, … , n; k ≠ i. This decision process is demonstrated by an example.