A New Model for Interactive Group Decision Making with Intuitionistic Fuzzy Preference Relations

Abstract. A new method is proposed to solve the interactive group decision making problem in which the preference information takes the form of intuitionistic fuzzy preference relations. Firstly, we aggregate all individual intuitionistic fuzzy preference relations into a collective one. Then, a method to determine the experts’ weights by utilizing the compatibility measures of the individual intuitionistic fuzzy preference relations and the collective one is proposed. Furthermore, a practical interactive procedure is developed, in which the intuitionistic fuzzy association coefficient is used to rank the given alternatives. Finally, this study presents a numerical example to illustrate the availability of the developed approach and compare it to another method.