Generalized derivative and π-derivative for set-valued functions

In this paper we study the generalized derivative and the π-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.

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Bibliographic Details
Published in:Information sciences 2011-06, Vol.181 (11), p.2177-2188
Main Authors: Chalco-Cano, Y., Román-Flores, H., Jiménez-Gamero, M.D.
Format: Article
Language:English
Subjects:
Differentiable set-valued functions
Interval differential equations
π-Derivative for set-valued functions
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Description
Summary:In this paper we study the generalized derivative and the π-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.
ISSN:0020-0255
DOI:10.1016/j.ins.2011.01.023