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

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 problems as well as individual multi-attribute decision-making 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.