TY - JOUR
T1 - New properties of the switching points for the generalized Hukuhara differentiability and some results on calculus
AU - Chalco-Cano, Y.
AU - Costa, T. M.
AU - Román-Flores, H.
AU - Rufián-Lizana, A.
N1 - Publisher Copyright:
© 2020 Elsevier B.V.
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
U2 - 10.1016/j.fss.2020.06.016
DO - 10.1016/j.fss.2020.06.016
M3 - Article
AN - SCOPUS:85087931526
SN - 0165-0114
VL - 404
SP - 62
EP - 74
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
ER -