A fuzzy representation for non-additive weights of AHP

AHP (Analytic Hierarchy Process) has been widely used in a domain of decision making, and there are a lot of extensions using fuzzy measure and integrals. In the previous research, we propose a kind of sensitivity analyses for AHP or fuzzy measure AHP, because it often occurs that data of AHP loses its reliability. In other words a comparison matrix there in does not always have enough consistency. Also in these cases, the authors propose one representation for weights using results from the sensitivity analysis. In this paper we refine fuzzy weights representation for fuzzy measure AHP. It can show how results of (fuzzy) AHP have fuzziness when the comparison matrix does not have relatively good consistency.