TY - GEN
T1 - Fuzzy differential equations and Zadeh's extension principle
AU - Chalco-Cano, Y.
AU - Lodwick, W. A.
AU - Bede, B.
PY - 2011
Y1 - 2011
N2 - 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).
AB - 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).
KW - Fuzzy differential equations
KW - Zadeh's extension principle
KW - fuzzy interval arithmetic
UR - https://www.scopus.com/pages/publications/79955921757
U2 - 10.1109/NAFIPS.2011.5752017
DO - 10.1109/NAFIPS.2011.5752017
M3 - Conference contribution
AN - SCOPUS:79955921757
SN - 9781612849676
T3 - Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS
BT - 2011 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2011
T2 - 2011 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2011
Y2 - 18 March 2011 through 20 March 2011
ER -