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Characterizations of b-Soft Separation Axioms in Soft Topological Spaces |
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PP: 125-133 |
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Author(s) |
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S. A. El-Sheikh,
Rodyna A. Hosny,
A. M. Abd El-latif,
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Abstract |
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| Many scientists have studied and improved the soft set theory, which is initiated by Molodtsov [33] and easily applied to
many problems having uncertainties from social life. The main purpose of our paper, is to introduce new soft separation axioms based
on the b-open soft sets which are more general than of the open soft sets. We show that, the properties of soft b-Ti-spaces (i = 1,2)
are soft topological properties under the bijection and irresolute open soft mapping. Also, the property of being soft b-regular and soft
b-normal are soft topological properties under bijection, irresolute soft and irresolute open soft functions. Further, we show that the
properties of being soft b-Ti-spaces (i = 1,2,3,4) are hereditary properties. |
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