A Python Framework Enhancement for Neutrosophic Topologies

Giorgio Nordo; Saeid Jafari; Maikel Yelandi Leyva V´ azquez

Authors

Giorgio Nordo MIFT Department– Mathematical and Computer Science, Physical Sciences and Earth Sciences University of Messina, 98166 Sant’Agata, Messina, Italy;
Saeid Jafari Mathematical and Physical Science Foundation, 4200 Slagelse, Denmark;
Maikel Yelandi Leyva V´ azquez Salesian Polytechnic University of Guayaquil, Guyas, Ecuador;

Keywords:

Neutrosophic topology, Neutrosophic set, Python framework, Neutrosophic family, Neutrosophic topological basis, Neutrosophic topological sub-basis.

Abstract

This paper introduces an extension to the Python Neutrosophic Sets (PYNS) framework, originally
detailed in [13], with the addition of the NSfamily class for constructing and manipulating neutrosophic
topologies. Building on existing classes like NSuniverse and NSset, the NSfamily class enables the definition
and testing of neutrosophic families as basis and sub-basis for neutrosophic topological spaces. This extension
provides tools for verifying closure properties under union and intersection, and for determining whether a given
family constitutes a neutrosophic topology. Through implemented algorithms, the framework automates the
generation of topologies from families of neutrosophic sets, offering an efficient tool for advancing research in
neutrosophic topology. Practical applications are demonstrated with detailed examples, showcasing how this
class enhances the scope and flexibility of neutrosophic modeling within the PYNS framework.

DOI: 10.5281/zenodo.14271018