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Some Modifications of Pairwise Soft Sets and Some of Their Related Concepts

Author

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  • Samer Al Ghour

    (Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan)

Abstract

In this paper, we first define soft u -open sets and soft s -open as two new classes of soft sets on soft bitopological spaces. We show that the class of soft p -open sets lies strictly between these classes, and we give several sufficient conditions for the equivalence between soft p -open sets and each of the soft u -open sets and soft s -open sets, respectively. In addition to these, we introduce the soft u - ω -open, soft p - ω -open, and soft s - ω -open sets as three new classes of soft sets in soft bitopological spaces, which contain soft u -open sets, soft p -open sets, and soft s -open sets, respectively. Via soft u -open sets, we define two notions of Lindelöfeness in SBTSs. We discuss the relationship between these two notions, and we characterize them via other types of soft sets. We define several types of soft local countability in soft bitopological spaces. We discuss relationships between them, and via some of them, we give two results related to the discrete soft topological space. According to our new concepts, the study deals with the correspondence between soft bitopological spaces and their generated bitopological spaces.

Suggested Citation

  • Samer Al Ghour, 2021. "Some Modifications of Pairwise Soft Sets and Some of Their Related Concepts," Mathematics, MDPI, vol. 9(15), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1781-:d:602940
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    References listed on IDEAS

    as
    1. Tareq M. Al-shami & Ahmed Mostafa Khalil, 2021. "Bipolar Soft Sets: Relations between Them and Ordinary Points and Their Applications," Complexity, Hindawi, vol. 2021, pages 1-14, January.
    2. Tareq M. Al-shami & Ljubiša D. R. Kočinac & Baravan A. Asaad, 2020. "Sum of Soft Topological Spaces," Mathematics, MDPI, vol. 8(6), pages 1-12, June.
    Full references (including those not matched with items on IDEAS)

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