On Pairwise ?-Open Soft Sets and Pairwise Locally Closed Soft Sets
Keywords:
Soft set, Soft topology, Soft bitopology, Soft bitopological spaces, Pairwise soft separation axioms, - closed soft sets, Pairwise -open soft sets, and - locally closed soft sets.Abstract
Kandil and his colleagues [10], introduced the notion of -closed soft set by involving -soft set and -closed soft set. In this paper, we give some additional properties of -closed soft sets. We also introduce and study a related new class of -spaces which lies between and . Moreover, we show that there exists a very important relation between the notion of -closed soft sets and the property, , , . In addition, we offer the notion of -locally closed soft sets and we investigate a related new pairwise soft separation axiom which is independent from . The relationships between the -closed soft sets and the -locally closed soft sets are obtained. Furthermore, we introduce the notion of -open soft sets and we construct supra soft topology associated with the class of -open soft sets and we present pairwise soft separation axioms related to such soft sets, namely . We provide some illustrative examples to support the results.
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