Neutrosophic e-open Sets in a Neutrosophic Topological Spaces

被引：0

作者：

Thangaraja, P. ^{[1
]}

Vadivel, A. ^{[2
,7
]}

Bobin, A. ^{[3
]}

Thayalan, S. ^{[4
]}

John Sundar, C. ^{[5
]}

Manivannan, P. ^{[6
]}

机构：

[1] Department of Mathematics, Panimalar Engineering College, 600 123, Chennai, India

[2] Department of Mathematics, Arignar Anna Government Arts College, Namakkal,637 002, India

[3] Department of Mathematics, IFET College of Engineering, Villupuram,605 108, India

[4] Department of Mathematics, Government Arts and Science College, Komarapalayam,638 183, India

[5] Department of Mathematics, Sri Venkateshwaraa College of Engineering and Technology, Puducherry,605 102, India

[6] Department of Mathematics, Government College of Engineering, Salem,636 011, India

[7] Department of Mathematics, Annamalai University, Annamalai Nagar,608 002, India

来源：

Neutrosophic Sets and Systems | 2025年 / 83卷

关键词：

Topology;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This study presents the concept of a neutrosophic e-open set, defined as the union of neutrosophic δP-open sets and δS-open sets within the framework of neutrosophic topological spaces. It also explores near open sets, highlighting their characteristics and providing illustrative examples of neutrosophic e-open sets. Furthermore, we examine fundamental properties and offer examples related to the neutrosophic e-interior and e-closure. In addition, we demonstrate the application of the neutrosophic score function and its negative counterpart in solving a mobile phone selection problem. This is achieved by utilizing neutrosophic topological spaces structured around various attributes and alternatives, ultimately determining score values to support decision-making. © 2025, University of New Mexico. All rights reserved.

引用

页码：783 / 797