An Approach to the Concept of Soft Fuzzy Proximity
The purpose of this paper is to introduce the concept of soft fuzzy proximity. Firstly, we give the definitions of soft fuzzy proximity and Katsaras soft fuzzy proximity, and also we investigate the relations between the soft fuzzy proximity and slightly modified version of Katsaras soft fuzzy proxi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/782583 |
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| _version_ | 1849405812099776512 |
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| author | Vildan Çetkin Alexander P. Šostak Halis Aygün |
| author_facet | Vildan Çetkin Alexander P. Šostak Halis Aygün |
| author_sort | Vildan Çetkin |
| collection | DOAJ |
| description | The purpose of this paper is to introduce the concept of soft fuzzy proximity. Firstly, we give the definitions of soft fuzzy proximity and Katsaras soft fuzzy proximity, and also we investigate the relations between the soft fuzzy proximity and slightly modified version of Katsaras soft fuzzy proximity. Secondly, we induce a soft fuzzy topology from a given soft fuzzy proximity by using soft fuzzy closure operator. Then, we obtain the initial soft fuzzy proximity from a given family of soft fuzzy proximities. So, we describe products in the category of soft fuzzy proximities. Finally, we show that a family of all soft fuzzy proximities on a given set constitutes a complete lattice. |
| format | Article |
| id | doaj-art-532bbab6239e4f268fd6d878488f4dce |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-532bbab6239e4f268fd6d878488f4dce2025-08-20T03:36:34ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/782583782583An Approach to the Concept of Soft Fuzzy ProximityVildan Çetkin0Alexander P. Šostak1Halis Aygün2Department of Mathematics, University of Kocaeli, Umuttepe Campus, 41380 Kocaeli, TurkeyDepartment of Mathematics, University of Latvia, Riga 1002, LatviaDepartment of Mathematics, University of Kocaeli, Umuttepe Campus, 41380 Kocaeli, TurkeyThe purpose of this paper is to introduce the concept of soft fuzzy proximity. Firstly, we give the definitions of soft fuzzy proximity and Katsaras soft fuzzy proximity, and also we investigate the relations between the soft fuzzy proximity and slightly modified version of Katsaras soft fuzzy proximity. Secondly, we induce a soft fuzzy topology from a given soft fuzzy proximity by using soft fuzzy closure operator. Then, we obtain the initial soft fuzzy proximity from a given family of soft fuzzy proximities. So, we describe products in the category of soft fuzzy proximities. Finally, we show that a family of all soft fuzzy proximities on a given set constitutes a complete lattice.http://dx.doi.org/10.1155/2014/782583 |
| spellingShingle | Vildan Çetkin Alexander P. Šostak Halis Aygün An Approach to the Concept of Soft Fuzzy Proximity Abstract and Applied Analysis |
| title | An Approach to the Concept of Soft Fuzzy Proximity |
| title_full | An Approach to the Concept of Soft Fuzzy Proximity |
| title_fullStr | An Approach to the Concept of Soft Fuzzy Proximity |
| title_full_unstemmed | An Approach to the Concept of Soft Fuzzy Proximity |
| title_short | An Approach to the Concept of Soft Fuzzy Proximity |
| title_sort | approach to the concept of soft fuzzy proximity |
| url | http://dx.doi.org/10.1155/2014/782583 |
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