TY - JOUR
T1 - Comparation between some approaches to solve fuzzy differential equations
AU - Chalco-Cano, Y.
AU - Román-Flores, H.
PY - 2009/6/1
Y1 - 2009/6/1
N2 - 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.
AB - 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.
KW - Extension principle
KW - Fuzzy differential equation
KW - Fuzzy differential inclusions
UR - https://www.scopus.com/pages/publications/64049113935
U2 - 10.1016/j.fss.2008.10.002
DO - 10.1016/j.fss.2008.10.002
M3 - Article
AN - SCOPUS:64049113935
SN - 0165-0114
VL - 160
SP - 1517
EP - 1527
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
IS - 11
ER -