On Fuzzy Priority Weights of AHP for Double Inner Dependence Structure

摘要

The Analytic Hierarchy Process (AHP) is very popular method in decision making process, and its inner dependence extension is used for cases in which criteria or alternatives are not independent enough. Calculations and compositions of weights are very important steps in it, however using the AHP (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 alternatives respectively). We propose fuzzy weights and two kinds of compositions. The compositions of weights depends if there are inconsistency in one level or not. Their results show the fuzziness of double inner dependence structure AHP in different way.