Abstract

The purpose of this paper is to introduce the concept of soft proximity bases and subbases. We determine the relation between proximity bases (subbases) and soft proximity bases (subbases). Further, we have demonstrated that the set of all soft proximities forms a complete lattice. Also, we substantiate a few results analogous to the ones that hold for soft proximity spaces.

Keywords: Soft set; soft proximity; soft neighbourhood; soft $p$-continuous mapping; soft proximity bases; soft proximity subbases; induced soft proximity.

MSC: 54A40, 06D72, 54E05

Pages:  75$-$87     

Volume  73 ,  Issue  2 ,  2021