Measuring pair wised comparisons matrix inconsistency ratio in fuzzy hierarchical structure

Abstract

The Analytic Hierarchical Process (AHP) determines the relativeimportance of a set of alternatives in a multi-criteria decision problem.AHP has a hierarchial structure and based on pairwise comparisons ofthe project alternatives as well as pairwise comparisons of the multicriteria. Two separate algorithms have been presented for measuringthe inconsistency ratioes of pairwise comparisons matrix andhierarchical structure. In this paper these algorithms and one of theapproximation methods, have been extended for measuring theinconsistency ratioes and alternatives’ weights in fuzzy AHP. Anumerical example is used to illustrate these methods.

Keywords

• fuzzy analytic hierarchy process
• fuzzy inconsistency ratio
• fuzzy ranking