The induced intuitionistic fuzzy Einstein aggregation and its application in group decision-making

Abstract

Einstein product and Einstein sum are good alternatives to the algebraic product and algebraic sum, respectively. Nevertheless, it seems that in the literature there is little investigation on aggregation techniques using the Einstein operations on IFS for aggregating a collection of intuitionistic fuzzy value (IFV). The induced ordered weighted averaging operator is more suitable for aggregating individual preference relations into a collective fuzzy preference relation. In order to deal with more complex group decision-making problem with intuitionistic fuzzy information, the paper develops an I-IFOWA ϵ operator which generalizes some of the intuitionistic fuzzy Einstein aggregation operators, such as the IFWA ϵ operator, IFOWA ϵ operator, IFA ϵ , as well as IF maximum operator and IF minimum operator. Furthermore, the authors apply the I-IFOWA ϵ operator and the IFWA ϵ operator to multiple attribute group decision-making with intuitionistic fuzzy information, and give an illustrative example to show the effectiveness of the developed methods.