Generating Soft Topologies via Soft Set Operators

As daily problems involve a great deal of data and ambiguity, it has become vital to build new mathematical ways cope with them, soft set theory is the greatest tool for doing so. result, we study methods generating topologies through several operators. A topology known be determined by system special sets, which are called open (dually closed) sets. The relationship between specific types their classical (known as parametric topologies) linked idea symmetry. Under this symmetry, can behaviors properties topological concepts via settings vice versa. In paper, show that spaces characterized closure, interior, boundary, exterior, derived set, or co-derived All result from such operators equivalent, well being identical counterparts under enriched (extended) conditions. Moreover, some systems all fixed points Multiple examples presented implementation these Some that, removing any axiom, will miss uniqueness resulting topology.