An Extension of OWAD Operator and Its Application to Uncertain Multiple-Attribute Group Decision-Making

The uncertain OWA distance (UOWAD) operator is presented, an extension of the OWA distance (OWAD) operator for uncertain situations in which the available information is given in the form of interval numbers, and generalized by using quasi-arithmetic means, obtaining the quasi-arithmetic UOWAD (Quasi-UOWAD) operator.

Abstract

We present the uncertain OWA distance (UOWAD) operator. It is an extension of the OWA distance (OWAD) operator for uncertain situations in which the available information is given in the form of interval numbers. We study some of their main properties and different particular cases. We further generalize the UOWAD operator by using quasi-arithmetic means, obtaining the quasi-arithmetic UOWAD (Quasi-UOWAD) operator. We also present its application to multiple-attribute group decision-making (MAGDM) problems with interval numbers. Finally, an illustrative numerical example is used to verify the developed approaches.