Decompositions of Some Types of Soft Sets and Soft Continuity via Soft Ideals
نویسنده
چکیده
In this paper, we extend the notions of γ-operation introduced in [12], by using the soft ideal notions. We introduce the notions of Ĩ-open soft sets, pre-Ĩopen soft sets, α-Ĩ-open soft sets, semi-Ĩ-open soft sets and β-Ĩ-open soft sets to soft topological spaces. We study the relations between these different types of subsets of soft topological spaces with soft ideal. We also introduce the concepts of Ĩ-continuous soft, pre-Ĩ-continuous soft, α-Ĩ-continuous soft, semi-Ĩcontinuous soft and β-Ĩ-continuous soft functions and discuss their properties in detail.
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