Determining interactions between objects from different universes: (inverse) object interaction set for binary soft sets

Abstract

This paper aims to analyze the decision-making processes in which the interactions between objects belonging to two different universe sets are desired to be determined. In this direction, first of all, the concepts of object interaction and inverse object interaction sets for two different universe sets are defined. In addition, considering binary soft sets in which two different universe sets are taken into account, the concepts of object interaction and inverse object interaction sets have been developed for a binary soft set. In this way, it was possible to determine the interaction values between objects with the help of a parameter set. Moreover, two decision-making algorithms are proposed using the concepts of object interaction and inverse object interaction sets based on a binary soft set. A discussion is presented by demonstrating the importance and advantages of these algorithms through an application.