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A note on "A class of linear differential dynamical systems with fuzzy initial condition"
Fuzzy Sets and Systems (2014)
  • Mehran Mazandarani
  • Marzieh Najariyan
Abstract

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.

Keywords
  • Fuzzy differential equations,
  • Stability property,
  • Quasi-level-wise system
Publication Date
Spring May 27, 2014
Citation Information
Mehran Mazandarani and Marzieh Najariyan. "A note on "A class of linear differential dynamical systems with fuzzy initial condition"" Fuzzy Sets and Systems (2014)
Available at: http://works.bepress.com/mehran_mazandarani/6/