On (strongly) regular relations on soft topological hypergroups

Abstract

In the first step, we determine some conditions for having a topological complete hypergroup by defining the geometric space obtained from each strongly regular relation. Then applying set theory, we introduce the concepts of “soft geometric spaces,” “soft topological hypergroups,” and “(strongly) regular relations” on soft hypergroups. Finally, to find some conditions for having a soft topological (complete) hypergroup, using the results of the first step, we determine the soft geometric space obtained from a strongly regular relation on soft hypergroups.