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http://repositorio.ufla.br/jspui/handle/1/46519| Title: | New properties of the switching points for the generalized Hukuhara differentiability and some results on calculus |
| Keywords: | Generalized Hukuhara differentiability Fuzzy numbers-valued functions Switching points Diferenciabilidade generalizada de Hukuhara Funções com valor de números difusos Pontos de troca |
| Issue Date: | Feb-2021 |
| Publisher: | Elsevier |
| Citation: | CHALCO-CANO, Y. et al. New properties of the switching points for the generalized Hukuhara differentiability and some results on calculus. Fuzzy Sets and Systems, [S. l.], v. 404, p. 62-74, Feb. 2021. |
| Abstract: | This article provides a new characterization of the switching points for generalized Hukuhara differentiability and shows that the set of all switching points is at most countable. Using these results, new properties in differential calculus, which generalize previous results, are presented. Then, generalizations of Ostrowski type inequalities for interval-valued functions using weaker assumption than previous results are obtained, and new numerical integration methods for interval-valued functions are established. |
| URI: | https://doi.org/10.1016/j.fss.2020.06.016 http://repositorio.ufla.br/jspui/handle/1/46519 |
| Appears in Collections: | DEX - Artigos publicados em periódicos |
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