An interactive procedure for multi-attribute group decision making with incomplete information

Abstract

This paper presents an interactive procedure to aggregate each group member’s preferences when each group member articulates his or her preference information incompletely. Since a selection is not generally made in a single step, with incomplete information, an interactive procedure is suitable for multi-attribute group decision-making (MAGDM) problems as well as individual multi-attribute decision making (MADM) problems. We develop a mathematical programming model that can establish dominance relations when the preference information about utilities, attribute weights, and group member’s importance weights are provided incompletely. Also, the preference relation between alternatives is to be considered in the model. We use the weak dominance as a final decision making tool. A probabilistic measure is introduced which is an indicator for the preference strength or the dominance relation between alternatives. Scope and purpose This paper deals with the multi-attribute group decision-making problem when each decision maker incompletely articulates his or her preference information about utilities and attribute weights. Also, we consider the case where the group member’s importance weights are given incompletely. In order to aid each decision maker to articulate preference information about alternatives, the probabilistic measure which is an indicator for the preference strength between alternatives is derived under some assumptions. Through solving a series of linear programming problems, we establish dominance relations between alternatives and aggregate each group member’s preferences.