New properties of the switching points for the generalized Hukuhara differentiability and some results on calculus ?
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Data
2021-02-01
Autores
Chalco-Cano, Y.
Costa, T. M. [UNESP]
Roman-Flores, H.
Rufian-Lizana, A.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
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. (C) 2020 Elsevier B.V. All rights reserved.
Descrição
Palavras-chave
Generalized Hukuhara differentiability, Fuzzy numbers-valued functions, Switching points for generalized Hukuhara differentiability
Como citar
Fuzzy Sets And Systems. Amsterdam: Elsevier, v. 404, p. 62-74, 2021.