Some Properties of Fuzzy Soft Proximity Spaces
We study the fuzzy soft proximity spaces in Katsaras’s sense. First, we show how a fuzzy soft topology is derived from a fuzzy soft proximity. Also, we define the notion of fuzzy soft δ-neighborhood in the fuzzy soft proximity space which offers an alternative approach to the study of fuzzy soft pro...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2015/752634 |
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| _version_ | 1850165565794025472 |
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| author | İzzettin Demir Oya Bedre Özbakır |
| author_facet | İzzettin Demir Oya Bedre Özbakır |
| author_sort | İzzettin Demir |
| collection | DOAJ |
| description | We study the fuzzy soft proximity spaces in Katsaras’s sense. First, we show how a fuzzy soft topology is derived from a fuzzy soft proximity. Also, we define the notion of fuzzy soft δ-neighborhood in the fuzzy soft proximity space which offers an alternative approach to the study of fuzzy soft proximity spaces. Later, we obtain the initial fuzzy soft proximity determined by a family of fuzzy soft proximities. Finally, we investigate relationship between fuzzy soft proximities and proximities. |
| format | Article |
| id | doaj-art-ee1987dfaf8340029367dc65d963bd7a |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-ee1987dfaf8340029367dc65d963bd7a2025-08-20T02:21:42ZengWileyThe Scientific World Journal2356-61401537-744X2015-01-01201510.1155/2015/752634752634Some Properties of Fuzzy Soft Proximity Spacesİzzettin Demir0Oya Bedre Özbakır1Department of Mathematics, Duzce University, 81620 Duzce, TurkeyDepartment of Mathematics, Ege University, 35100 Izmir, TurkeyWe study the fuzzy soft proximity spaces in Katsaras’s sense. First, we show how a fuzzy soft topology is derived from a fuzzy soft proximity. Also, we define the notion of fuzzy soft δ-neighborhood in the fuzzy soft proximity space which offers an alternative approach to the study of fuzzy soft proximity spaces. Later, we obtain the initial fuzzy soft proximity determined by a family of fuzzy soft proximities. Finally, we investigate relationship between fuzzy soft proximities and proximities.http://dx.doi.org/10.1155/2015/752634 |
| spellingShingle | İzzettin Demir Oya Bedre Özbakır Some Properties of Fuzzy Soft Proximity Spaces The Scientific World Journal |
| title | Some Properties of Fuzzy Soft Proximity Spaces |
| title_full | Some Properties of Fuzzy Soft Proximity Spaces |
| title_fullStr | Some Properties of Fuzzy Soft Proximity Spaces |
| title_full_unstemmed | Some Properties of Fuzzy Soft Proximity Spaces |
| title_short | Some Properties of Fuzzy Soft Proximity Spaces |
| title_sort | some properties of fuzzy soft proximity spaces |
| url | http://dx.doi.org/10.1155/2015/752634 |
| work_keys_str_mv | AT izzettindemir somepropertiesoffuzzysoftproximityspaces AT oyabedreozbakır somepropertiesoffuzzysoftproximityspaces |