Generalized derivative and π-derivative for set-valued functions

被引：138
|
作者：
Chalco-Cano, Y. [1 ]
Roman-Flores, H. [2 ]
Jimenez-Gamero, M. D. [3 ]
机构：
[1] Univ Tarapaca, Dept Matemat, Arica, Chile
[2] Univ Tarapaca, Inst Invest, Arica, Chile
[3] Univ Seville, Dpto Estadist & IO, E-41012 Seville, Spain
来源：
INFORMATION SCIENCES | 2011年 / 181卷 / 11期
关键词：
Differentiable set-valued functions; pi-Derivative for set-valued functions; Interval differential equations; FUZZY DIFFERENTIAL-EQUATIONS; EXISTENCE; INTERVAL; INCLUSIONS; CALCULUS;
D O I：
10.1016/j.ins.2011.01.023
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we study the generalized derivative and the pi-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. (C) 2011 Elsevier Inc. All rights reserved.
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页码：2177 / 2188
页数：12
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