APPLICATIONS OF THE EXTENT ANALYSIS METHOD ON FUZZY AHP

Authors
Citation
Dy. Chang, APPLICATIONS OF THE EXTENT ANALYSIS METHOD ON FUZZY AHP, European journal of operational research, 95(3), 1996, pp. 649-655
Citations number
4
Categorie Soggetti
Management,"Operatione Research & Management Science","Operatione Research & Management Science
ISSN journal
03772217
Volume
95
Issue
3
Year of publication
1996
Pages
649 - 655
Database
ISI
SICI code
0377-2217(1996)95:3<649:AOTEAM>2.0.ZU;2-Y
Abstract
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.