Three Classes of Soft Functions Via Soft -Open Sets and Soft -Closed Sets

Authors

  • Payman majeed Department of Mathematics, College of Education for Pure Sciences, University of Kirkuk
  • Hardi A. Shareef Department of Mathematics, College of Science, University of Sulaimani, Kurdistan-region
  • Halgwrd M. Darwesh Department of Mathematics, College of Science, University of Sulaimani, Kurdistan-region

DOI:

https://doi.org/10.31185/wjps.288

Keywords:

soft S_p-open set, soft S_p-closed set, soft S_p-irresolute function, soft S_p-Hausdorff space, soft S_p-open function, soft S_p-closed function.

Abstract

This paper introduces novel concepts of soft functions known as soft -irresolute, soft -open, and soft -closed function as well as some of their properties. The interrelationships of this newly defined soft functions with other types of soft functions are investigated, and the behaviors of soft -irresolute (resp., soft -open, and soft -closed) functions under soft composition are studied. Finally, using soft -open sets, the concepts of soft -Hausdorff space are introduced and investigated.

Author Biographies

  • Hardi A. Shareef, Department of Mathematics, College of Science, University of Sulaimani, Kurdistan-region

    Department of Mathematics, College of Science, University of Sulaimani, Kurdistan-region

  • Halgwrd M. Darwesh, Department of Mathematics, College of Science, University of Sulaimani, Kurdistan-region

    Department of Mathematics, College of Science, University of Sulaimani, Kurdistan-region

References

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Published

2024-03-30

Issue

Vol. 3 No. 1 (2024)

Section

Mathematics

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Copyright (c) 2024 Payman majeed, Hardi A. Shareef, Halgwrd M. Darwesh

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Payman majeed, Shareef , H. ., & Darwesh, H. . (2024). Three Classes of Soft Functions Via Soft -Open Sets and Soft -Closed Sets. Wasit Journal for Pure Sciences , 3(1), 1-17. https://doi.org/10.31185/wjps.288