Generalized derivative and π-derivative for set-valued functions

Authors:
Y. Chalco-Cano;H. Román-Flores;M. D. Jiménez-Gamero
Affiliations:
Departamento de Matemática, Universidad de Tarapacá, Casilla 7D, Arica, Chile;Instituto de Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile;Dpto. de Estadística e I.O., Universidad de Sevilla, 41012 Sevilla, Spain
Venue:
Information Sciences: an International Journal
Year:
2011

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Abstract

In this paper we study the generalized derivative and the @p-derivative for interval-valued functions. We show the connections between these derivatives. Some illustrative examples and applications to interval differential equations and fuzzy functions are presented.