Binary Soft Set Theory

Abstract

In this paper, we study the concept of soft sets theory which introduced by Molodtsov \cite{min} and the theory of soft sets which studied by Maji et al. \cite{open}. The authors introduce a binary soft set on two initial universal sets and a parameter set. Also subset of a binary soft set, soft super set of a binary soft set, equality of two binary soft sets, complement of a binary soft set, null binary soft set, absolute binary soft set, union of two binary soft sets, intersection of two binary soft sets, difference and symmetric difference of two binary soft sets, $AND$ and $OR$ operations via two binary soft sets are defined by authors in the present paper. Also some properties of binary soft sets are investigated.