Neutrosophic e-open Sets in a Neutrosophic Topological Spaces

Thangaraja P; vadivel A; Bobin A; Thayalan S; John Sundar C; Manivannan P

Authors

Thangaraja P Department of Mathematics, Panimalar Engineering College, Chennai - 600 123, India;
vadivel A Department of Mathematics, Arignar Anna Government Arts College, Namakkal - 637 002; Department ofMathematics, Annamalai University, Annamalai Nagar - 608 002, India;
Bobin A Department of Mathematics, IFET College of Engineering, Villupuram - 605 108, India
Thayalan S Department of Mathematics, Government Arts and Science College, Komarapalayam - 638 183, India
John Sundar C Department of Mathematics, Sri Venkateshwaraa College of Engineering and Technology, Puducherry - 605102, India
Manivannan P Department of Mathematics, Government College of Engineering, Salem - 636 011, India

Keywords:

Neutrosophic set, Neutrosophice-open set, Neutrosophice-closed set, Neutrosophiceinterior,Neutrosophiceclosure, Neutrosophic score function and Neutrosophic negative score function

Abstract

This study presents the concept of a neutrosophice-open set, de ned as the union of neutrosophicP-open sets andS-open sets within the framework of neutrosophic topological spaces. It also explores nearopen sets, highlighting their characteristics and providing illustrative examples of neutrosophice-open sets.Furthermore, we examine fundamental properties and offer examples related to the neutrosophice-interior ande-closure. In addition, we demonstrate the application of the neutrosophic score function and its negativecounterpart in solving a mobile phone selection problem. This is achieved by utilizing neutrosophic topologicalspaces structured around various attributes and alternatives, ultimately determining score values to supportdecision-making.

DOI: 10.5281/zenodo.15200138