A Goal Programming Approach for Group Decision Making with Four Incomplete Preference Relations

Abstract

This article presents a goal programming approach to solve group decision making problems where decision-makers' judgments are provided as multiple incomplete preference relations, including incomplete fuzzy preference relations, incomplete multiplicative preference relations, incomplete interval multiplicative preference relations and incomplete linguistic preference relations. The proposed approach consists three steps:(1) transform the incomplete linguistic preference relations into the format of incomplete fuzzy preference relations (2) aggregate four different formats incomplete preference relations using a linear goal programming model and obtain the collective ranking values of alternative by solving the model, (3) rank or select the alternative based on the obtained collective ranking values of alternatives. A capability gaps evaluation is used to demonstrate the applicability of approach.