Differential Equations based on Fuzzy Rules
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Summary
The main result of this paper states that the solutions x of an ODE whose direction field is f (IVP-f) can be approximated by the solution xr of anODE whosedirection field is fr ( IVP-fr).
- Type
- article
- Published
- 2009-01-01
- Cited by
- 7
- References
- 26
- OpenAlex
- https://openalex.org/W64042581
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:16666902
Keywords
Ode, Mathematics, Lebesgue integration, Convergence (economics), Field (mathematics)
References
- Equações diferenciais ordinarias com campo de direções parcialmente conhecido
- Fuzzy Systems Engineering - Toward Human-Centric Computing
- Theoretical aspects of fuzzy control
- Fuzzy input-output controllers are universal approximators
- Predator–prey fuzzy model
- Fuzzy differential equations and the extension principle
- FUZZY DIFFERENTIAL INCLUSIONS
- Fuzzy control as a universal control tool
- A First Course in Fuzzy Logic
- Set Defuzzification and Choquet Integral
- Differentials of fuzzy functions
- Function approximation with additive fuzzy systems
- Book Review: "Fuzzy Sets in Approximate Reasoning and Information Systems", edited by James C. Bezdek, Didier Dubois and Henri Prade, in "The Handbooks of Fuzzy Sets Series" by D. Dubois, H. Prade (Eds.).
- Random Dynamical Systems
- Fuzzy Sets and Possibility Theory in Approximate and Plausible Reasoning
- Stochastic Community Theory: A Partially Guided Tour
- An Approach to Modelling and Simulation of Uncertain Dynamical Systems
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- Free Mechanical Vibrations Models via p-fuzzy Systems
- Consecutive Chemical Reactions Models via P-Fuzzy Systems
- Goodwin economic cycle via p-fuzzy system
- Discrete and Continuous Logistic p-Fuzzy Models
- Fuzzy Relational Equations and Universal Approximation
- Modeling in Biomathematics: Demographic Fuzziness
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