DocumentCode
2974846
Title
Fuzzy differential equations and Zadeh´s extension principle
Author
Chalco-Cano, Y. ; Lodwick, W.A. ; Bede, B.
Author_Institution
Dept. de Mat., Univ. de Tarapaca, Arica, Chile
fYear
2011
fDate
18-20 March 2011
Firstpage
1
Lastpage
5
Abstract
In this article we show the importance of the class of fuzzy differential equations where the right hand side of the equation is a fuzzy function generated by applying Zadeh´s extension principle. Through concrete examples, we show that fuzzy functions obtained by applying Zadeh´s extension principle are more appropriate than fuzzy functions obtained by using the usual fuzzy interval arithmetic (R.E. Moore´s interval arithmetic on alpha-levels).
Keywords
differential equations; fuzzy set theory; Zadeh extension principle; fuzzy differential equations; fuzzy function; fuzzy interval arithmetic; Approximation methods; Biological system modeling; Differential equations; Equations; Fuzzy sets; Mathematical model; Measurement; Fuzzy differential equations; Zadeh´s extension principle; fuzzy interval arithmetic;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Information Processing Society (NAFIPS), 2011 Annual Meeting of the North American
Conference_Location
El Paso, TX
ISSN
Pending
Print_ISBN
978-1-61284-968-3
Electronic_ISBN
Pending
Type
conf
DOI
10.1109/NAFIPS.2011.5752017
Filename
5752017
Link To Document