New Separation Axioms in Soft Bitopological Space

Abstract

The present paper introduces a new class of separation axioms called $(1,2)^*$-soft b-separation axioms using $(1,2)^*$-soft b-open set. Also the properties of $(1,2)^*$-soft bT$_{i}$-spaces (i =0,1,2) are soft bitopological properties under the bijection and irresolute open soft mapping. Further, we show that the properties of $(1,2)^*$-soft bT$_{i}$-spaces (i =0,1,2) are hereditary properties.