Neutrosophic πgγ* closed sets in Neutrosophic Topological  Spaces

Sakthivel K; Gomathi A

Authors

Sakthivel K Assistant professor, Department of Mathematics, Government Arts College, Udumalpet, Tamil Nadu, India;
Gomathi A Assistant professor, Department of Science and Humanities, Hindusthan College of Engineering and Technology, Coimbatore, Tamil Nadu, India;

Keywords:

Neutrosophic topological spaces, Neutrosophic open sets, Neutrosophic closed sets, Neutrosophic πgγ* closed sets.

Abstract

This paper introduces and investigate the notion of Neutrosophic πgγ* closed sets within
the framework of Neutrosophic topological spaces. The study begins defining Neutrosophic πgγ*
closed sets and proceeds to investigate their fundamental properties and characterizations. Special
attention is given to examining how these sets interrelate with and extend existing classes of
Neutrosophic closed sets. By establishing inclusion relations and comparative hierarchies, the paper
highlights the significance of Neutrosophic πgγ* closed sets in broadening the structural
understanding of Neutrosophic topologies. Furthermore, several illustrative examples are provided
to demonstrate the distinctive features of these sets and to clarify their role in the generalization
process. The paper also derives various theorems that reveal the interplay between Neutrosophic
πgγ* closed sets and other Neutrosophic closed families, thereby enriching the theoretical
landscape of Neutrosophic topology. These results contribute to ongoing developments in
generalized closed set theory, offering new insights and paths for further research in Neutrosophic
mathematics.

DOI 10.5281/zenodo.17969797