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RISA note on “Numerical solutions for linear system of first-order fuzzy differential equations with fuzzy constant coefficients”
In this note, it is shown that some obtained results in Solaymani Fard amd Ghal-Eh (2011) are not true.
Fuzzy Circuit Analysis
current, voltage and so on or fuzzy values. From this standpoint, circuit is
converted to a fuzzy differential equation with fuzzy variables (FDE-FV).
Two conventional types of fuzzy derivatives are used in circuit analysis. This...
A note on “A class of linear differential dynamical systems with fuzzy initial condition”
In this note, we show that the proposed approach in J. Xu et al. (2007) [1] fails to obtain the stable solutions to the stable linear dynamical systems with fuzzy initial conditions. As it will be explained, this shortcoming ...
Fuzzy Optimal Control under Generalized Differentiability of Fuzzy-number-valued Functions
In this paper optimal control problem of fuzzy linear time invariant systems is considered. Determining of system optimal input with minimizing quadratic integral criterion by using Pontryagin Minimum Principle will make ...
Numerical Solution of Fuzzy Linear Non-Autonomous Systems by AVK Method
In this paper, a new approach for numerical solution of fuzzy linear non-autonomous systems is considered. Fuzzy linear non-autonomous system is a subset of the Fuzzy Differential Equations [FDEs]. We introduce our approach to obtain a global...
Optimal control of HIV infection by using fuzzy dynamical systems
A dynamical system represent the infection and propagation of HIV is considered. First a mathematical
model for the HIV is simulated. Since age, sex… are important parameters in treatment of HIV disease,
it ...
Quasi type 2 fuzzy differential equations
, an effective method is proposed for solving quasi type 2 fuzzy differential equations. Finally, the applicability of the proposed method is demonstrated through several examples....
Interval-valued fuzzy derivatives and solution to interval-valued fuzzy differential equations
In this paper,we define the concept of fuzzy derivatives for perfect and semi-perfect interval-valued fuzzy mappings.Based on this definition, we then present a method for solving interval-valued fuzzy differential equations using the alpha...
Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions
Fuzzy fractional differential equations (FFDEs) driven by Liu’s process are a type of
fractional differential equations. In this paper, we intend to provide and prove a novel
existence and uniqueness theorem ...
Artificial neural network approach for solving fuzzy differential equations
The current research attempts to offer a novel method for solving fuzzy differential equations
with initial conditions based on the use of feed-forward neural networks. First, the
fuzzy differential equation is replaced by a system...