A new approach for Soft Semi-Topological Groups Based on Soft Element

Abstract

Molodtsov introduced a theory of soft sets which can be seen as an effective tool to deal
with uncertainties in [1] and then, the development of the theory gradually increased. In this paper we
define the notion of soft semi-topological groups based on the notion of soft element which is defined by
Wardovski in [3]. Also some theoretical results are given. Thus soft topological group theory become open
to improvement with these new definitions and results.