Infra Cluster Topology via Infra Soft Topology and Ideal

Abstract

This work aims to introduce a novel expansion of the infra soft closure point. Next, the fundamental properties of infra cluster soft sets are shown. Furthermore, in relation to infra cluster soft sets, the idea of an infra cluster soft topology on a universal set is presented. Additionally, the soft concept of an infra cluster soft topology on a universal set is introduced in relation to infra cluster soft sets. The infra cluster soft topology is derived from an infra soft topology with a corresponding soft ideal; however, it is finer than the original infra soft topology. The ramifications of infra cluster soft topologies are demonstrated with examples. We look at the concept of infra soft compatible areas and list some of its features.