Characterization results of generalized differentiabilities of fuzzy functions
This paper presents new properties of the so-called generalized derivatives of fuzzy and interval-valued functions, which consist of the gH, gH⁎, and g-derivatives of these functions. Several recent properties concerning the generalized derivatives of interval-valued functions are extended to the fu...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/304272 |
| Acceso en línea: | http://dx.doi.org/10.1016/j.fss.2024.109038 https://hdl.handle.net/11449/304272 |
| Access Level: | acceso abierto |
| Palabra clave: | Fuzzy differential equations Fuzzy number-valued functions Generalized derivative Generalized Hukuhara derivative Interval-valued functions |
| Sumario: | This paper presents new properties of the so-called generalized derivatives of fuzzy and interval-valued functions, which consist of the gH, gH⁎, and g-derivatives of these functions. Several recent properties concerning the generalized derivatives of interval-valued functions are extended to the fuzzy case, for which general characterization results are provided. Lastly, in order to illustrate the presented results, a study on the Malthusian growth and decay models considering fuzzy populations is made. |
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