In this paper, a new approach for handling fuzzy AHP is introduced, wi
th the use of triangular fuzzy numbers for pairwise comprison scale of
fuzzy AHP, and the use of the extent analysis method for the syntheti
c extent value Si of the pairwise comparison. By applying the principl
e 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) grea
ter than or equal to M(1)) = hgt(M(1) boolean AND M(2)) = mu(M1)(d), t
he vectors of weight with respect to each element under a certain crit
erion 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 demonst
rated by an example.