Best approximation results for fuzzy-number-valued continuous functions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914217918988288 |
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| author | Font, Juan J. Macario, Sergio |
| author_facet | Font, Juan J. Macario, Sergio |
| contents | In this paper we study the best approximation of a fixed fuzzy-number-valued continuous function to a subset of fuzzy-number-valued continuous functions. We also introduce a method to measure the distance between a fuzzy-number-valued continuous function and a real-valued one. Then we prove the existence of the best approximation of a fuzzy-number-valued continuous function to the space of real-valued continuous functions by using the well-known Michael Selection Theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20667 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Best approximation results for fuzzy-number-valued continuous functions Font, Juan J. Macario, Sergio General Mathematics 41A50, 65G40 In this paper we study the best approximation of a fixed fuzzy-number-valued continuous function to a subset of fuzzy-number-valued continuous functions. We also introduce a method to measure the distance between a fuzzy-number-valued continuous function and a real-valued one. Then we prove the existence of the best approximation of a fuzzy-number-valued continuous function to the space of real-valued continuous functions by using the well-known Michael Selection Theorem. |
| title | Best approximation results for fuzzy-number-valued continuous functions |
| topic | General Mathematics 41A50, 65G40 |
| url | https://arxiv.org/abs/2512.20667 |