Work

On the Categories of LF-Ideals, LF-Grills, and LF-Topological Spaces

Year: 2026

Type: article

Abstract: This paper is devoted to the study of the interrelationships among LF-grills, LF-ideals, LF-neighborhoods, LF-topologies, and LF-co-topologies. We establish a categorical framework that demonstrates the interconnections among these concepts. In addition, we investigate categorical connections from LF-ideal spaces to LF-topological spaces and from LF-grill spaces to LF-topological spaces using concrete functors, confirming the existence of Galois correspondences between these spaces. Finally, the practical relevance of the theoretical framework is illustrated through applications in information systems and medical diagnosis.

Source: Axioms

DOI: 10.3390/axioms15010068

Authors: Ahmed A. Ramadan, Anwar J. Fawakhreh

Institutions: Beni-Suef University, Qassim University

Language: English

Topic: Fuzzy and Soft Set Theory

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Qassim University