Title :
Solutions of fuzzy differential equations with L-R fuzzy numbers
Author :
Bede, Barnabas ; Gal, Sorin G. ; Stefanini, Luciano
Author_Institution :
Dept. of Math., Univ. of Texas-Pan American, Edinburg, TX, USA
Abstract :
We consider fuzzy differential equations with data L-R type fuzzy numbers. First we construct special classes of fuzzy numbers that will be closed under algebraic and analytic operations on fuzzy numbers. These spaces allow us to solve fuzzy differential equations. We present a general example of a problem which has fuzzy parameters and also fuzzy initial data.
Keywords :
algebra; differential equations; fuzzy set theory; L-R fuzzy numbers; algebraic operation; analytic operation; fuzzy differential equation; L-R fuzzy numbers; fuzzy differential equations; generalized differentiability;
Conference_Titel :
Soft Computing Applications (SOFA), 2010 4th International Workshop on
Conference_Location :
Arad
Print_ISBN :
978-1-4244-7985-6
DOI :
10.1109/SOFA.2010.5565600
