Interval-Valued Induced Averaging Aggregation Operator and Its Application in Group Decision Making with Intuitionistic Fuzzy Information

Abstract

Yager and Filev (1999) introduced induced ordered weighted averaging (IOWA) operator which is a generalized version of ordered weighted averaging (OWA) operator. In IOWA operator, the ordering of the arguments is induced by a variable, called the order inducing variable. This paper introduces interval-valued inducing variable which is a general form of inducing variable. This paper also proposes an aggregation operator called induced intuitionistic fuzzy ordered weighted averaging (I-IFOWA) operator using the sub-interval of membership function and interval-valued inducing variable. Then we present an algorithmic approach to show the applicability of the proposed operator in multiple attribute group decision making (MAGDM) problems. Finally the algorithm has been illustrated through a case study.