TOP 活動実績 2008年

(13) An Extension of Weights for Fuzzy Constraint-based AHP

Shin-ichi Ohnishi, Takahiro Yamanoi, Hideyuki Imai, Yoshiharu Sato
Joint 4th International Conference on Soft Computing and Intelligent Systems and 9th International Symposium on advanced Intelligent Systems (SCIS & ISIS2008), pp.1197-1202, 2008-9

Analytic Hierarchy Process (AHP) is very popular method in the field of decision-making today. The classical method requires the decision-maker (DM) to express his or her preferences in the form of a precise ratio matrix encoding a valued preference relation. However, it can often be difficult for the DM to express exact estimates of the ratios of importance. One of the most natural ways to cope with this kind of problem is employing a reciprocal matrix with fuzzy-valued entries. Then some of the present authors proposed the fuzzy constraint-based approach before. This allows for a more flexible specification of pairwise preference intensities accounting for the incomplete knowledge of the DM. In this paper, we consider about weights for the fuzzy constraint-based approach and propose an extension of representation for the weights. It employs not only fuzzy concepts but also results of sensitivity analysis for weights and consistency. Moreover it is very useful for investigating data structure and realizing results of AHP.

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