Fuzzy Sets and Systems - Fuzzy Numbers
Information Sciences—Informatics and Computer Science: An International Journal
The Cauchy problem for continuous fuzzy differential equations
Fuzzy Sets and Systems
Numerical solutions of fuzzy differential and integral equations
Fuzzy Sets and Systems - Special issue on fuzzy modeling and dynamics
Fuzzy Sets and Systems
Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations
Fuzzy Sets and Systems
Numerical methods for fuzzy initial value problems
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Numerical solution of fuzzy differential equations by predictor-corrector method
Information Sciences: an International Journal
First order linear fuzzy differential equations under generalized differentiability
Information Sciences: an International Journal
Fuzzy differential equations and the extension principle
Information Sciences: an International Journal
Numerical methods forfuzzy differential inclusions
Computers & Mathematics with Applications
Towards fuzzy differential calculus part 3: Differentiation
Fuzzy Sets and Systems
Toward a generalized theory of uncertainty (GTU)--an outline
Information Sciences: an International Journal
Artificial neural networks for solving ordinary and partial differential equations
IEEE Transactions on Neural Networks
Periodic problems of first order uncertain dynamical systems
Fuzzy Sets and Systems
Computers & Mathematics with Applications
Some topological properties of solutions to fuzzy differential systems
Information Sciences: an International Journal
Solving differential equations by means of feed-forward artificial neural networks
ICAISC'12 Proceedings of the 11th international conference on Artificial Intelligence and Soft Computing - Volume Part I
Information Sciences: an International Journal
Information Sciences: an International Journal
Increasing the efficiency of quicksort using a neural network based algorithm selection model
Information Sciences: an International Journal
A novel bio-inspired approach based on the behavior of mosquitoes
Information Sciences: an International Journal
Periodic behavior of semi-linear uncertain dynamical systems
Fuzzy Sets and Systems
Dempster Shafer neural network algorithm for land vehicle navigation application
Information Sciences: an International Journal
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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 of ordinary differential equations. A trial solution of this system is written as a sum of two parts. The first part satisfies the initial condition and contains no adjustable parameters. The second part involves a feed-forward neural network containing adjustable parameters (the weights). Hence by construction, the initial condition is satisfied and the network is trained to satisfy the differential equations. This method, in comparison with existing numerical methods, shows that the use of neural networks provides solutions with good generalization and high accuracy. The proposed method is illustrated by several examples.