On defining soft spaces by weak soft neighborhood systems

Abstract

In the present paper, we define the concepts of weak soft neighborhood space, soft $w^{s}( \widetilde{\varphi },\widetilde{\varphi }^{^{\prime}}) -continuous$, soft $w^{s}-continuous$ and soft $w^{s^{\ast }}-continuous$ on weak soft neighborhood spaces. Finally, we introduce theirbasic properties and some examples.