In this note, we show that the proposed approach in [J. Xu, Z. Liao, Z. Hu, A class of linear differential dynamical systems with fuzzy initial condition, Fuzzy Sets Syst. 158 (2007) 2339– 2358] fails to obtain the stable solutions to the stable linear dynamical systems with fuzzy initial conditions. It will be explained this shortcoming is caused by neglecting to move the stability property of the fuzzy system to the quasi level-wise system. Moreover, to handle this, another approach is proposed similar to the previous one for the stable and unstable systems.
- Fuzzy differential equations,
- Stability property,
- Quasi-level-wise system
Available at: http://works.bepress.com/mehran_mazandarani/6/