A Hierarchical Analysis Model for Multiobjective Decisionmaking

This paper attempts to propose a method for preference degree analysis in multiobjective decisionmaking problems (MDMPs), called the multiple factor analysis method based on a hierarchical analysis model.

Abstract

In this paper we attempt to propose a method for preference degree analysis in multiobjective decisionmaking problems(MDMPs), called the multiple factor analysis method based on a hierarchical analysis model. The concept of preference degree(PD) is first discussed. Here a PD is used as a measurement for describing preference information of decision makers (DMs) to some value of an objective. A hierarchical model for analyzing the preference information is then deduced by defining objective domain of discourse (ODD), fuzzy degree domain of discourse (FDDD), factor domain of discourse (FDD) and sensitivity vector. Furthermore, some methods are explored for analyzing DMs* PDs of objective values according to a single factor and multiple factors, respectively. At last, an example is briefly introduced.