They defined basic notions and concepts of soft topological spaces such as soft open and closed sets, soft interior, soft closure, soft basis, soft nbd of a point, soft limit point of a soft set, soft complement, soft difference, and soft boundary and established several properties of these soft notions.
So, too, is the "softer" notion of free will preferred by compatibilitists.
But changes to the software are limited only by the skill and creativity of a company's engineers and designers and are not as easily mimicked since they appeal to softer notions like "experience" rather than speed or weight.
In this paper, our aim is to introduce a notion of soft topological soft groups and its subsystems and morphisms, and to study their properties.
In view of this and also considering the importance of topological group structure in developing Haar measure and Haar integral, we have introduced in this paper a notion of soft topological soft groups.
In the article first we introduce a new notion of soft element of a soft set and establish its natural relation with soft operations and soft objects in soft topological spaces.
The interesting paper is also [4], where the authors introduced the notion of soft topology on a soft set and proved basic properties concerning soft topological spaces.
He soft-pedaled the notion of a military coup during the interview, saying that he loved the armed forces and plainly stating that, "I do not consider this as a military coup".
In [5], the author introduced the notion of soft metric on the soft set (tilde{X}).
Abbas et al. [8, 9] introduced the notion of soft contraction mapping based on the theory of soft elements of soft metric spaces.
Next, using the notion of soft element, we define, in a different way than in the literature, a soft mapping transforming a soft set into a soft set and provide basic properties of such mappings.
