Ordinary Single Valued Neutrosophic Topological Spaces
We define an ordinary single valued neutrosophic topology and obtain some of its basic properties. In addition, we introduce the concept of an ordinary single valued neutrosophic subspace. Next, we define the ordinary single valued neutrosophic neighborhood system and we show that an ordinary single...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-08-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/9/1075 |
| _version_ | 1798043189906505728 |
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| author | Junhui Kim Florentin Smarandache Jeong Gon Lee Kul Hur |
| author_facet | Junhui Kim Florentin Smarandache Jeong Gon Lee Kul Hur |
| author_sort | Junhui Kim |
| collection | DOAJ |
| description | We define an ordinary single valued neutrosophic topology and obtain some of its basic properties. In addition, we introduce the concept of an ordinary single valued neutrosophic subspace. Next, we define the ordinary single valued neutrosophic neighborhood system and we show that an ordinary single valued neutrosophic neighborhood system has the same properties in a classical neighborhood system. Finally, we introduce the concepts of an ordinary single valued neutrosophic base and an ordinary single valued neutrosophic subbase, and obtain two characterizations of an ordinary single valued neutrosophic base and one characterization of an ordinary single valued neutrosophic subbase. |
| first_indexed | 2024-04-11T22:46:02Z |
| format | Article |
| id | doaj.art-400376e799fc4fa2bd602f33afce6af2 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T22:46:02Z |
| publishDate | 2019-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-400376e799fc4fa2bd602f33afce6af22022-12-22T03:58:46ZengMDPI AGSymmetry2073-89942019-08-01119107510.3390/sym11091075sym11091075Ordinary Single Valued Neutrosophic Topological SpacesJunhui Kim0Florentin Smarandache1Jeong Gon Lee2Kul Hur3Department of Mathematics Education, Wonkwang University, 460, Iksan-daero, Iksan-Si 54538, Jeonbuk, KoreaDepartment of Mathematics and Science, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USADepartment of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-Si 54538, Jeonbuk, KoreaDepartment of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-Si 54538, Jeonbuk, KoreaWe define an ordinary single valued neutrosophic topology and obtain some of its basic properties. In addition, we introduce the concept of an ordinary single valued neutrosophic subspace. Next, we define the ordinary single valued neutrosophic neighborhood system and we show that an ordinary single valued neutrosophic neighborhood system has the same properties in a classical neighborhood system. Finally, we introduce the concepts of an ordinary single valued neutrosophic base and an ordinary single valued neutrosophic subbase, and obtain two characterizations of an ordinary single valued neutrosophic base and one characterization of an ordinary single valued neutrosophic subbase.https://www.mdpi.com/2073-8994/11/9/1075ordinary single valued neutrosophic (co)topologyordinary single valued neutrosophic subspaceα-levelordinary single valued neutrosophic neighborhood systemordinary single valued neutrosophic baseordinary single valued neutrosophic subbase |
| spellingShingle | Junhui Kim Florentin Smarandache Jeong Gon Lee Kul Hur Ordinary Single Valued Neutrosophic Topological Spaces Symmetry ordinary single valued neutrosophic (co)topology ordinary single valued neutrosophic subspace α-level ordinary single valued neutrosophic neighborhood system ordinary single valued neutrosophic base ordinary single valued neutrosophic subbase |
| title | Ordinary Single Valued Neutrosophic Topological Spaces |
| title_full | Ordinary Single Valued Neutrosophic Topological Spaces |
| title_fullStr | Ordinary Single Valued Neutrosophic Topological Spaces |
| title_full_unstemmed | Ordinary Single Valued Neutrosophic Topological Spaces |
| title_short | Ordinary Single Valued Neutrosophic Topological Spaces |
| title_sort | ordinary single valued neutrosophic topological spaces |
| topic | ordinary single valued neutrosophic (co)topology ordinary single valued neutrosophic subspace α-level ordinary single valued neutrosophic neighborhood system ordinary single valued neutrosophic base ordinary single valued neutrosophic subbase |
| url | https://www.mdpi.com/2073-8994/11/9/1075 |
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