Group decision making based on generalized intuitionistic fuzzy prioritized geometric operator

Abstract

Intuitionistic fuzzy set was studied by many authors because it is a powerful technique to depict uncertainty, which is a set containing three functions: the membership function; the nonmembership function; and the hesitancy function. The aggregation of intuitionistic fuzzy values (IFVs) is of paramount importance in decision making. In this paper, we research IFVs aggregation problems, where there exist a prioritization relationship over the aggregated arguments. First, we propose the generalized intuitionistic fuzzy prioritized weighted geometric operator based on Archimedean t-conorm and t-norm. Then, some of its desirable properties and special cases are investigated in detail. Furthermore, a multicriteria group decision-making problems is formulated with IFVs using the proposed operator. Finally, the validity and applicability of the proposed method, as well as analysis of the comparison with different generator functions, are illustrated with a real example about talent introduction. © 2012 Wiley Periodicals, Inc. © 2012 Wiley Periodicals, Inc.