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Alexandrov LF-Rough Topogenous Structures: Theory and Applications

Author

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  • Ahmed A. Ramadan
  • Anwar J. Fawakhreh
  • Tareq M. Al-shami

Abstract

The aim of this paper is to investigate the relationships between Alexandrov LF-rough topogenous spaces and Alexandrov LF-rough closure (interior) spaces based on LF-rough sets. We establish several mappings inspired by the subsethood degree of two LF-subsets to generate Alexandrov LF-rough topogenous order spaces. We also demonstrate the existence of several interesting Galois connections between the considered categories. Furthermore, we study Alexandrov LF-topological spaces induced by Alexandrov LF-rough topogenous structures. To validate the obtained results, several illustrative examples are provided. Finally, the proposed framework is validated through a medical diagnostic application, where it analyzes patient symptoms, including deficiency diseases and heart conditions, to support decision-making under uncertainty.

Suggested Citation

  • Ahmed A. Ramadan & Anwar J. Fawakhreh & Tareq M. Al-shami, 2026. "Alexandrov LF-Rough Topogenous Structures: Theory and Applications," Journal of Mathematics, Hindawi, vol. 2026, pages 1-16, July.
    • Handle: RePEc:hin:jjmath:8837446
    DOI: 10.1155/jom/8837446
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