On Soft Pre-α-Open Sets and Soft Pre-α-continuous Functions in Soft Topological Spaces | ||
| Journal of College of Education | ||
| Article 1, Volume 0, Issue 1, November 2017, Pages 281-302 | ||
| Author | ||
| Sabiha I. Mahmood | ||
| Abstract | ||
| In this paper, we introduce a new class of generalized soft open sets in soft topological spaces, namely, soft pre-α-open sets and we show that the family of all soft pre-α-open subsets of a soft topological space form a soft topology on X which is soft finer than . Soft pre-α-open sets is stronger than each of soft semi-open sets, soft α-open sets, soft pre-open sets, soft b-open sets, soft β-open sets, soft generalized semi open sets, soft generalized α-open sets and soft α-generalized open sets and weaker than soft open sets. Moreover, we use these soft sets to define and study new classes of soft functions, namely, soft pre-α-continuous functions and soft pre-α-irresolute functions in soft topological spaces and we discuss the relation between these soft functions and each of soft continuous functions and other weaker forms of soft continuous functions. | ||
| Keywords | ||
| soft pre; Open sets; closed sets; clopen sets; continuous functions; irresolute functions | ||
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