ORCID
Bishnupada Debnath: https://orcid.org/0009-0008-3162-4082
Anjan Mukherjee: https://orcid.org/0000-0002-5020-5958
Article Type
Original Study
Abstract
In general topology the notion of pds-irresolute and aδs-irresolute functions were introduced by Beceren and Noiri. In the present paper, these concepts of pδs-irresolute (briefly, Npδs-irresolute) and aδs-irresolute (briefly, Naδs-irresolute) functions are explored for the first time in neutrosophic topological spaces (NTS) as generalized version. We proved that every Naδs-irresolute function is Npδs-irresolute function but not conversely. Some characterizations, counter examples, and fundamental features are also presented. By neutrosophic pre-open, neutrosophic δ-open, and neutrosophic δ-semi-open sets, some new fundamental properties of such functions are provided. Furthermore, under Npδs-irresolute functions, the behavior of neutrosophic semi-connected, neutrosophic pre-connected, neutrosophic pre-T2, neutrosophic δ-semi-T2, neutrosophic pre-compact, and neutrosophic s-closed spaces are investigated.
How to Cite
Debnath, Bishnupada and Mukherjee, Anjan
(2025)
"On Neutrosophic pδs-irresolute Functions in Neutrosophic Topological Spaces,"
Neutrosophic Systems with Applications: Vol. 24:
Iss.
1, Article 10.
DOI: https://doi.org/10.61356/j.nswa.2024.24407
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
