Group Decision Making Under Interval-Valued Multiplicative Intuitionistic Fuzzy Environment Based on Archimedean t-Conorm and t-Norm

The main focus of this paper is to investigate group decision-making (GDM) method under interval-valued multiplicative intuitionistic fuzzy environment based on Archimedean t-conorm and t-norm. First of all, some operations laws are proposed for interval-valued multiplicative intuitionistic fuzzy elements, which is an extension of multiplicative intuitionistic fuzzy operations developed earlier by other scholars. The effectiveness of these proposed operations is illustrated with some numerical examples. Then, a series of aggregation operators are proposed and the desirable properties are also studied. This paper reveals that some existing multiplicative intuitionistic fuzzy and interval-valued multiplicative intuitionistic fuzzy aggregation operators are the special cases of the operators proposed in this paper. Finally, a GDM method based on proposed operators under interval-valued multiplicative intuitionistic fuzzy environment is proposed, and a real case about annual evaluation for personnel of Zhejiang University of Finance and Economics is presented to illustrate the effectiveness of the proposed method. (C) 2015Wiley Periodicals, Inc.