New properties of the switching points for the generalized Hukuhara differentiability and some results on calculus

Y. Chalco-Cano; T. M. Costa; H. Román-Flores; A. Rufián-Lizana

doi:10.1016/j.fss.2020.06.016

New properties of the switching points for the generalized Hukuhara differentiability and some results on calculus

Y. Chalco-Cano
, T. M. Costa
, H. Román-Flores
, A. Rufián-Lizana

Department of Mathematics

Universidade Estadual Paulista Júlio de Mesquita Filho
Universidad de Tarapacá
University of Seville

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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.

Original language	English
Pages (from-to)	62-74
Number of pages	13
Journal	Fuzzy Sets and Systems
Volume	404
DOIs	https://doi.org/10.1016/j.fss.2020.06.016
State	Published - 1 Feb 2021

Keywords

Fuzzy numbers-valued functions
Generalized Hukuhara differentiability
Switching points for generalized Hukuhara differentiability

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10.1016/j.fss.2020.06.016

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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.",

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author = "Y. Chalco-Cano and Costa, \{T. M.\} and H. Rom{\'a}n-Flores and A. Rufi{\'a}n-Lizana",

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AU - Chalco-Cano, Y.

AU - Costa, T. M.

AU - Román-Flores, H.

AU - Rufián-Lizana, A.

PY - 2021/2/1

Y1 - 2021/2/1

N2 - 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.

AB - 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.

KW - Fuzzy numbers-valued functions

KW - Generalized Hukuhara differentiability

KW - Switching points for generalized Hukuhara differentiability

UR - https://www.scopus.com/pages/publications/85087931526

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DO - 10.1016/j.fss.2020.06.016

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SP - 62

EP - 74

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

ER -

New properties of the switching points for the generalized Hukuhara differentiability and some results on calculus

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Keywords

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