Neutrosophic e-open Sets in a Neutrosophic Topological Spaces
This study presents the concept of a neutrosophic e-open set, defined as the union of neutrosophic [delta]P-open sets and [delta]S-open sets within the framework of neutrosophic topological spaces. It also explores near open sets, highlighting their characteristics and providing illustrative example...
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| Vydané v: | Neutrosophic sets and systems Ročník 83; s. 783 - 797 |
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| Hlavní autori: | , , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Neutrosophic Sets and Systems
15.08.2025
University of New Mexico |
| Predmet: | |
| ISSN: | 2331-6055, 2331-608X |
| On-line prístup: | Získať plný text |
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| Shrnutí: | This study presents the concept of a neutrosophic e-open set, defined as the union of neutrosophic [delta]P-open sets and [delta]S-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. Keywords: Neutrosophic set, Neutrosophic e-open set, Neutrosophic e-closed set, Neutrosophic e interior, Neutrosophic e closure, Neutrosophic score function and Neutrosophic negative score function. |
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| ISSN: | 2331-6055 2331-608X |
| DOI: | 10.5281/zenodo.15200138 |