Alexandrov LF-Rough Topogenous Structures: Theory and Applications

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

Journal of Mathematics, 2026, vol. 2026, 1-16

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.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8837446

DOI: 10.1155/jom/8837446

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