TY - JOUR
T1 - A note on "numerical solutions of fuzzy differential equations by extended Runge-Kutta-like formulae of order 4"
AU - Karimi Dizicheh, A.
AU - Salahshour, S.
AU - Ismail, Fudziah Bt
PY - 2013/12/16
Y1 - 2013/12/16
N2 - In this note we show that the example presented in a recent paper by Ghazanfari et al. is incorrect. Namely, the "exact solution" suggested by the authors is not solution of the given fuzzy differential equation (FDE). Indeed, the authors have proposed an exact solution which is independent from the initial condition. So, we obtain the correct exact solution using the characterization theorem proposed by Bede et al. under Seikkala differentiability. Also, some details are given for the mentioned example.
AB - In this note we show that the example presented in a recent paper by Ghazanfari et al. is incorrect. Namely, the "exact solution" suggested by the authors is not solution of the given fuzzy differential equation (FDE). Indeed, the authors have proposed an exact solution which is independent from the initial condition. So, we obtain the correct exact solution using the characterization theorem proposed by Bede et al. under Seikkala differentiability. Also, some details are given for the mentioned example.
KW - Bede's characterization theorem
KW - Fuzzy differential equations
KW - Seikkala differentiability
UR - http://www.scopus.com/inward/record.url?scp=84887470637&partnerID=8YFLogxK
U2 - 10.1016/j.fss.2013.03.006
DO - 10.1016/j.fss.2013.03.006
M3 - Letter
AN - SCOPUS:84887470637
SN - 0165-0114
VL - 233
SP - 96
EP - 100
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
ER -