Fuzzy Topological Spaces Generated by Fuzzy Digraphs

P. S. Gholap, V. E. Nikumbh () and P. G. Andhare ()
Additional contact information
P. S. Gholap: Department of Mathematics, Arts Science and Commerce College, Rahuri, Maharashtra 413705, India
V. E. Nikumbh: Department of Mathematics, PVP College of Arts, Science and Commerce, Pravaranagar, Maharashtra 413713, India
P. G. Andhare: Department of Mathematics, RBNB College, Shrirampur, Maharashtra 413709, India

New Mathematics and Natural Computation (NMNC), 2025, vol. 21, issue 03, 823-838

Abstract: In this paper, we defined various fuzzy topological spaces on fuzzy digraph and study interrelation between them. Using adjacency relation on fuzzy vertices and fuzzy edges of fuzzy digraph we defined, namely two types of fuzzy topologies, left(right) fuzzy vertex topology and left(right) fuzzy edge topology on fuzzy digraph, respectively. We have obtained results related to fuzzy topology on fuzzy subdigraph H of fuzzy digraph G. Separation axioms T0, T1 and T2 for these fuzzy topological spaces are studied. Some characterization results for fuzzy topological spaces related to isomorphic fuzzy digraphs are given. Further, we have shown that two fuzzy digraphs are isomorphic if and only if their corresponding fuzzy topologies are homeomorphic, this relation on set of fuzzy digraphs forms an equivalence relation. We have also defined and studied fuzzy bitopological spaces on fuzzy digraphs.

Keywords: Fuzzy vertex topology; fuzzy edge topology; fuzzy vertex bitopological space (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S1793005725500401
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:nmncxx:v:21:y:2025:i:03:n:s1793005725500401

Ordering information: This journal article can be ordered from

DOI: 10.1142/S1793005725500401

Access Statistics for this article

New Mathematics and Natural Computation (NMNC) is currently edited by Paul P Wang

More articles in New Mathematics and Natural Computation (NMNC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().