Fuzzy weights using sensitivity analysis for double inner dependence AHP

The Analytic Hierarchy Process (AHP) proposed by T. L. Saaty has been widely used in decision making. Inner dependence method AHP is used for cases in which criteria or alternatives are not independent enough and using the original AHP or inner dependence AHP may cause results to lose reliability because the comparison matrix is not necessarily sufficiently consistent. In such cases, fuzzy representation for weighting criteria or alternatives using results from sensitivity analysis is useful. In the previous paper, we defined local weights of criteria and alternatives for normal AHP via fuzzy sets, and then calculate modified fuzzy weights. In this paper we can also show overall weights of alternatives for inner dependence AHP that has double inner dependence (among criteria and among alternatives respectively). Results show the fuzziness of double inner dependence structure AHP if the more than two comparison matrices are not sufficiently consistent and individual criteria and alternatives do not have enough independence.