Abstract

In this paper, the notions of int-soft left (right) ideals, int-soft interior ideals and int-soft bi-ideals over the soft sets are introduced and several related properties of these notions are investigated. Characterizations of int-soft ideals over the soft sets are considered. Moreover, for any soft set $(\eta, U)$ over $S$, the notion of a soft set over the soft sets $(\chi_{\eta(u)}, V)$ is introduced. It is prove that a soft set $(\eta, S)$ is a soft left ideal (resp. right ideal, interior ideal, bi-ideal) over $S$ if and only if $(\chi_{\eta(x)}, S)$ is an int-soft left ideal (resp. right ideal, interior ideal, bi-ideal) over the soft sets.

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