Neutrosophic Sets and Systems
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.
Recommended Citation
Sakthivel, K. and A. Gomathi. "Neutrosophic πgγ* closed sets in Neutrosophic Topological Spaces." Neutrosophic Sets and Systems 98, 1 (2026). https://digitalrepository.unm.edu/nss_journal/vol98/iss1/4