On neutrosophic topology
Purpose - Recently, Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NSs). Also, this author defined the notion of neutrosophic topology on the non-standard interval. One can expect some relation between the intuitionistic fu...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49939 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49939 |
| Access Level: | acceso abierto |
| Palabra clave: | 519.7-79 510.22 515.1 Cybernetics Set theory Topology Teoría de conjuntos Cibernética matemática Topología 1201.02 Teoría Axiomática de Conjuntos 1207.03 Cibernética 1210 Topología |
| Sumario: | Purpose - Recently, Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NSs). Also, this author defined the notion of neutrosophic topology on the non-standard interval. One can expect some relation between the intuitionistic fuzzy topology OFT) on an IFS and the neutrosophic topology. This paper aims to show that this is false. Design/methodology/approach - The possible relation between the IFT and the neutrosophic topology is studied. Findings - Relations on neutrosophic topology and IFT are found. Research limitations/implications - Clearly, this paper is confined to IFSs and NSs. Practical implications - The main applications are in the mathematical field. Originality/value - The paper shows original results on fuzzy sets and topology. |
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