Separation Axioms in Fuzzy Closure Spaces
General Topology
2025-09-16 v1
Abstract
Fuzzy closure spaces are an extension of classical closure spaces in topology, where the concept of closure is defined in terms of fuzzy sets. This article introduces interior operators and neighborhood systems in fuzzy closure spaces. Using that, we have redefined \v{C}F-continuity. Separation axioms such as , , , \v{C}F-Urysohn, \v{C}F-regular, and \v{C}F-normal in fuzzy closure spaces are introduced using these neighborhood systems. Additive, productive, hereditary, and other properties of these axioms have been observed. Relationships between these axioms are also investigated.
Keywords
Cite
@article{arxiv.2509.11556,
title = {Separation Axioms in Fuzzy Closure Spaces},
author = {Albin James and T. P. Johnson},
journal= {arXiv preprint arXiv:2509.11556},
year = {2025}
}