Journal
FUZZY SETS AND SYSTEMS
Volume 160, Issue 11, Pages 1517-1527Publisher
ELSEVIER
DOI: 10.1016/j.fss.2008.10.002
Keywords
Extension principle; Fuzzy differential equation; Fuzzy differential inclusions
Funding
- Fondecyt-Chile [1061244, 1080438]
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In this paper, we study the class of fuzzy differential equations where the dynamics is given by a continuous fuzzy mapping which is obtained via Zadeh's extension principle. We get a fuzzy solution for this class of fuzzy differential equations and several illustrative examples are presented. We also give some properties and we show the relationships with others interpretation. Finally, we propose a numerical procedure for obtaining the fuzzy solution. (C) 2008 Elsevier B.V. All rights reserved.
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