Compositions of Fuzzy Weights for Double Inner Dependence AHP

Analytic Hierarchy Process (AHP) is major method for decision making now and decision maker’s answers are strongly related to his or her cognitive abilities. Inner dependence AHP is used for cases in which criteria or alternatives are not independent enough. In the process, calculations and compositions of weights are very important steps. Using the original AHP or inner dependence AHP may cause results losing 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 papers, we defined local weights of criteria and alternatives for inner dependence AHP via fuzzy sets. In this paper, we deal with overall weights of alternatives for double inner dependence structure AHP (among criteria and among alternatives respectively). Results show the fuzziness of double inner dependence structure AHP in different way of composition of weights.