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In the present paper, we have continued to study the properties of soft topological spaces. We introduce new types of soft compactness based on the soft ideal Ĩ, in a soft topological space (X,τ,E) namely, soft Ĩ-compactness, soft semi-Ĩ-compactness, soft countably-Ĩ-compactness and soft countably semi-Ĩ-compactness. Also, several of their topological properties are investigated. The behaviour of these concepts under various types of soft functions has obtained.
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Kandil et al. (2014) studied this question.
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