Soft Topological Group from Classical View Point and Soft Borel Measure

Abstract

In this paper, we introduce the notion of the soft topological group as a general topological group of soft elements and study their properties. Some interesting results and relation between soft topological group and ordinary topological group of soft elements are studied. Also, soft Borel set and soft Borel measure have been depicted and the relationship between the soft Borel measure and the corresponding Borel measure has been drawn.

Bijective soft rings with applications

“…Ali et al [24] designed a new class of linear algebraic codes using soft sets. Goldar et al [25] gave a new definition of soft rings and soft ideals using soft elements. Öztunç et al [26] constructed the category of soft groups and soft group homomorphisms.…”