On Product of Smooth Neutrosophic Topological Spaces
In this paper, we develop the notion of the basis for a smooth neutrosophic topology in a more natural way. As a sequel, we define the notion of symmetric neutrosophic quasi-coincident neighborhood systems and prove some interesting results that fit with the classical ones, to establish the consiste...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-09-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/12/9/1557 |
| _version_ | 1797553039237709824 |
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| author | Kalaivani Chandran Swathi Sundari Sundaramoorthy Florentin Smarandache Saeid Jafari |
| author_facet | Kalaivani Chandran Swathi Sundari Sundaramoorthy Florentin Smarandache Saeid Jafari |
| author_sort | Kalaivani Chandran |
| collection | DOAJ |
| description | In this paper, we develop the notion of the basis for a smooth neutrosophic topology in a more natural way. As a sequel, we define the notion of symmetric neutrosophic quasi-coincident neighborhood systems and prove some interesting results that fit with the classical ones, to establish the consistency of theory developed. Finally, we define and discuss the concept of product topology, in this context, using the definition of basis. |
| first_indexed | 2024-03-10T16:10:40Z |
| format | Article |
| id | doaj.art-73c22f81ee2c44489dae731d029c0fb9 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T16:10:40Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-73c22f81ee2c44489dae731d029c0fb92023-11-20T14:31:08ZengMDPI AGSymmetry2073-89942020-09-01129155710.3390/sym12091557On Product of Smooth Neutrosophic Topological SpacesKalaivani Chandran0Swathi Sundari Sundaramoorthy1Florentin Smarandache2Saeid Jafari3Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Kalavakkam 603110, IndiaDepartment of Mathematics, V. V. Vanniaperumal College for Women, Virudhunagar 626001, IndiaDepartment of Mathematics and Science, University of New Mexico, Gallup, NM 87301, USADepartment of Mathematics, College of Vestsjaelland South, Herrestrade 11, 4200 Slagelse, DenmarkIn this paper, we develop the notion of the basis for a smooth neutrosophic topology in a more natural way. As a sequel, we define the notion of symmetric neutrosophic quasi-coincident neighborhood systems and prove some interesting results that fit with the classical ones, to establish the consistency of theory developed. Finally, we define and discuss the concept of product topology, in this context, using the definition of basis.https://www.mdpi.com/2073-8994/12/9/1557neutrosophic setssmooth neutrosophic topologybasissubbasissmooth neutrosophic product topology |
| spellingShingle | Kalaivani Chandran Swathi Sundari Sundaramoorthy Florentin Smarandache Saeid Jafari On Product of Smooth Neutrosophic Topological Spaces Symmetry neutrosophic sets smooth neutrosophic topology basis subbasis smooth neutrosophic product topology |
| title | On Product of Smooth Neutrosophic Topological Spaces |
| title_full | On Product of Smooth Neutrosophic Topological Spaces |
| title_fullStr | On Product of Smooth Neutrosophic Topological Spaces |
| title_full_unstemmed | On Product of Smooth Neutrosophic Topological Spaces |
| title_short | On Product of Smooth Neutrosophic Topological Spaces |
| title_sort | on product of smooth neutrosophic topological spaces |
| topic | neutrosophic sets smooth neutrosophic topology basis subbasis smooth neutrosophic product topology |
| url | https://www.mdpi.com/2073-8994/12/9/1557 |
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