A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction
We introduce a space of functions which can be interpreted as a similarity-based approach to fuzzy metric spaces. The triangle inequality we propose is defined by means of a fuzzy ordering. We compare the introduced space with fuzzy metric spaces in the sense of Seikkala and Kaleva. Finally we compl...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/2945210 |
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| _version_ | 1850157339127054336 |
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| author | Gültekin Soylu Mutlu Güloğlu |
| author_facet | Gültekin Soylu Mutlu Güloğlu |
| author_sort | Gültekin Soylu |
| collection | DOAJ |
| description | We introduce a space of functions which can be interpreted as a similarity-based approach to fuzzy metric spaces. The triangle inequality we propose is defined by means of a fuzzy ordering. We compare the introduced space with fuzzy metric spaces in the sense of Seikkala and Kaleva. Finally we complete the work discovering the corresponding classical as well as fuzzy topologies. |
| format | Article |
| id | doaj-art-39c1f49e58ec4d6781af4ceefa7ba148 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-39c1f49e58ec4d6781af4ceefa7ba1482025-08-20T02:24:13ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/29452102945210A New Approach to Fuzzy Metric Spaces and Their Similarity-Based ConstructionGültekin Soylu0Mutlu Güloğlu1Department of Mathematics, Akdeniz University, 07058 Antalya, TurkeyDepartment of Mathematics, Akdeniz University, 07058 Antalya, TurkeyWe introduce a space of functions which can be interpreted as a similarity-based approach to fuzzy metric spaces. The triangle inequality we propose is defined by means of a fuzzy ordering. We compare the introduced space with fuzzy metric spaces in the sense of Seikkala and Kaleva. Finally we complete the work discovering the corresponding classical as well as fuzzy topologies.http://dx.doi.org/10.1155/2016/2945210 |
| spellingShingle | Gültekin Soylu Mutlu Güloğlu A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction Journal of Function Spaces |
| title | A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction |
| title_full | A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction |
| title_fullStr | A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction |
| title_full_unstemmed | A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction |
| title_short | A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction |
| title_sort | new approach to fuzzy metric spaces and their similarity based construction |
| url | http://dx.doi.org/10.1155/2016/2945210 |
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