A new approach for soft semi-topological groups based on soft element

Molodtsov introduced a theory of soft sets which can be seen as an effective tool to deal with uncertainties in [16] 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 [28]. Also some theoretical results are given. Thus soft topological group theory become open to improvement with these new definitions and results.