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A Stronger Novel Form of Soft Semi-Open Set

Author

Listed:
  • Payman M. Mahmood

    (Department of Mathematics, College of Education for Pure Sciences, University of Kirkuk, Iraq)

  • Halgwrd M. Darwesh

    (��Department of Mathematics, College of Science, University of Sulaimani, Kurdistan-Region, Iraq)

  • Hardi A. Shareef

    (��Department of Mathematics, College of Science, University of Sulaimani, Kurdistan-Region, Iraq)

  • Samer Al Ghour

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

Abstract

In this paper, we introduce the concept of a soft Sp-open set. We show that the class of soft Sp-open sets lies strictly between the classes of S̃Sc-open sets (respectively, soft 𠜃-open) and soft semi-open sets. Additionally, we provide several adequate criteria for the equivalence between soft Sp-open sets and each of S̃Sc-open sets and soft semi-open sets. Moreover, we demonstrate that the family of soft Sp-open sets is a supra soft topology. We study the relationships between soft Sp-open sets and other types of soft sets such as soft open, soft pre-open, soft α-open, soft ξ-open, soft δ-open, soft bc-open and soft βc-open. Also, we study the behavior of soft Sp-open sets under some soft operators. Finally, we clarify the correspondence between the classes of soft Sp-open sets in a soft topological space and in its soft topological subspaces.

Suggested Citation

  • Payman M. Mahmood & Halgwrd M. Darwesh & Hardi A. Shareef & Samer Al Ghour, 2025. "A Stronger Novel Form of Soft Semi-Open Set," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 21(01), pages 323-338, March.
    • Handle: RePEc:wsi:nmncxx:v:21:y:2025:i:01:n:s1793005725500164
    DOI: 10.1142/S1793005725500164
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