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Volume 31 (2025)

Volume 31, Issue 1
Pg 1 - 54 (June 2025)

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JP Journal of Geometry and Topology

JP Journal of Geometry and Topology
Volume 31, Issue 1, Pages 39 - 54 (June 2025)
http://dx.doi.org/10.17654/0972415X25005

NEUTROSOPHIC HYPERSOFT TOPOLOGICAL SPACES VIA M-OPEN SETS

V. Subash and M. Angayarkanni

Abstract:

In this paper, we introduce a new class of neutrosophic hypersoft open sets, termed neutrosophic hypersoft M-open sets, which are defined as the union of neutrosophic hypersoft d-pre-open sets and neutrosophic hypersoft q-semi-open sets within the framework of neutrosophic hypersoft topological spaces. We further explore the concept of near open sets, examining their properties and providing illustrative examples of neutrosophic hypersoft M-open sets. Additionally, the notions of neutrosophic hypersoft M-interior and M-closure are formally defined, and their fundamental properties are analyzed. Moreover, we derive intuitionistic hypersoft topology and fuzzy hypersoft topology as special cases from the general structure of neutrosophic hypersoft topology.

Keywords and phrases:

neutrosophic hypersoft M-open set, neutrosophic hypersoft dP-open sets, neutrosophic hypersoft qS-open sets

Received: May 5, 2025; Accepted: June 16, 2025; Published: June 21, 2025

How to cite this article: V. Subash and M. Angayarkanni, Neutrosophic hypersoft topological spaces via M-open sets, JP Journal of Geometry and Topology 31(1) (2025), 39-54. https://doi.org/10.17654/0972415X25005

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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