Some New Aggregation Operators and Their Application in Group Decision-Making Based on Fuzzy Preference Relations

Abstract

In group decision making (GDM) problems, fuzzy preference relations are often used by decision makers to express their opinions. This paper has proposed new two induced ordered weighted averaging (IOWA) hybrid operators improving aggregation stage developed in the resolution process of GDM problems: the dual consistency (individual consistency and collective consistency) (CIC-IOWA) operator, which applies the ordering of the argument values based on the dual consistency of the information sources; the importance dual consistency IOWA (ICIC-IOWA) operator, which is used to deal with ties in respect to the ordering induced by the I-IOWA operator. In addition, the examples are introduced to illustrate the application of new operators. Results have shown that the new IOWA operators can keep a better control over aggregation stage and easy to use.