Supra Soft Somewhat Open Sets: Characterizations and Continuity

Authors

  • Alaa M. Abd El-latif Mathematics Department, College of Sciences and Arts, Northern Border University, Arar 91431, Saudi Arabia https://orcid.org/0000-0003-0179-2831
  • Radwan Abu-Gdairi Mathematics Department, Faculty of Science, Zarqa University, Zarqa 13132, Jordan
  • A. A. Azzam Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
  • F. A. Gharib Mathematics Department, College of Science, Northern Border University, Arar, Saudi Arabia
  • Khaled A. Aldwoah Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medinah, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5863

Keywords:

Supra soft somewhat open sets, SS-sw-closure operator, SS-sw-continuous functions

Abstract

In this manuscript, we used the supra soft interior operator to define a new approach of generalized sets named, supra soft somewhat  (briefly, SS-sw-) open sets. We discuss its relationships with the other generalizations and provide the necessary examples and counterexamples. After that, we define new continuity inspired by this new approach, named SS-sw-continuous function. We characterize several  of its essential properties.  We use the  SS-sw-closure (interior) operators to present several equivalent conditions for the  new approach. Furthermore, we define a new type of functions related  to  SS-sw-open sets, named  SS-sw-open functions.

Author Biography

  • Alaa M. Abd El-latif, Mathematics Department, College of Sciences and Arts, Northern Border University, Arar 91431, Saudi Arabia

    Alaa M. Abd El-Latif is an Assistance Professor
    of Pure Mathematics, Northern Borders University,
    Faculty  Science, Mathematics Department,
     Arar 91431, Saudi Arabia.  He received the PhD degree in Pure
    Mathematics (Topology) from Ain Shams University,
    Cairo, Egypt. His primary research areas are General
    Topology, Fuzzy Topology, Set theory, Soft set theory and
    Soft topology. He is referee of several international
    journals in pure mathematics. Dr. Alaa has published
    many papers in refereed journals.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Topology

License

Copyright (c) 2025 Alaa M. Abd El-latif, Radwan Abu-Gdairi, A. A. Azzam , F. A. Gharib , Khaled A. Aldwoah

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How to Cite

Supra Soft Somewhat Open Sets: Characterizations and Continuity. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5863. https://doi.org/10.29020/nybg.ejpam.v18i2.5863