A Complete Characterization Theorem for Fuzzy Differentiability on Time Scales
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915371265556480 |
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| author | Mert, Funda Raziye Bayeğ, Selami |
| author_facet | Mert, Funda Raziye Bayeğ, Selami |
| contents | This paper investigates the generalized Hukuhara differentiability of fuzzy number-valued functions on arbitrary time scales using delta calculus. By carefully examining and improving existing results, we develop a unified and complete characterization theorem that covers a wide range of differentiability behaviors, including some cases that were previously missed. Our approach addresses important limitations and redundancies in earlier work, providing a clearer and more flexible understanding of fuzzy differentiability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02893 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Complete Characterization Theorem for Fuzzy Differentiability on Time Scales Mert, Funda Raziye Bayeğ, Selami General Mathematics This paper investigates the generalized Hukuhara differentiability of fuzzy number-valued functions on arbitrary time scales using delta calculus. By carefully examining and improving existing results, we develop a unified and complete characterization theorem that covers a wide range of differentiability behaviors, including some cases that were previously missed. Our approach addresses important limitations and redundancies in earlier work, providing a clearer and more flexible understanding of fuzzy differentiability. |
| title | A Complete Characterization Theorem for Fuzzy Differentiability on Time Scales |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2507.02893 |