On set-function representations of AHP type evaluation values

Abstract

Analytic hierarchy process (AHP) models mainly have been used for calculating the global evaluation values and the aids of decision making. Using the Choquet integral calculation process,evaluation values of the alternatives are assigned as a set-function representation. The set-functions of are aggregated to the mean set-function. As the mean set-function representations of examinees hold the rank information of each examine evaluation values, the mean set functions are used for the analysis of alternatives. AHP set-functions of examinees can analyze various situations such as consensus, indifference, multi-polarization, passable alternatives, error, and conflict.