A new weight representation using fuzzy set for partial inner dependence AHP

The Inner dependence Analytic Hierarchy Process (AHP) is useful for cases in which criteria are not independent enough in a field of decision making. In this research, we investigate “partial inner dependence” structure, i.e., only a proper subset of the criteria is not independent. For the partial inner dependence AHP, we propose a new kind of fuzzy weight representation that is valid even if a data matrix is not consistent or reliable enough. The representation can be defined by 2 kinds of results of sensitivity analyses.