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P‐Fuzzy Diffusion Equation Using Rules Base

Author

Listed:
  • Jefferson Leite
  • R. C. Bassanezi
  • Jackellyne Leite
  • Moiseis Cecconello

Abstract

We propose a fuzzy system that simulates dispersion of individuals whose movements are described by diffusion. We will use only the position of the population as an input variable for describing the process. We emphasize that the classical diffusion equation along with its analytical solution in no time was used for obtaining our solution.

Suggested Citation

  • Jefferson Leite & R. C. Bassanezi & Jackellyne Leite & Moiseis Cecconello, 2014. "P‐Fuzzy Diffusion Equation Using Rules Base," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
  • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:478241
    DOI: 10.1155/2014/478241
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    References listed on IDEAS

    as
    1. Moiseis S. Cecconello & Jefferson Leite & Rodney C. Bassanezi & Joao de Deus M. Silva, 2013. "About Projections of Solutions for Fuzzy Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, June.
    2. Joao de Deus M. Silva & Jefferson Leite & Rodney C. Bassanezi & Moiseis S. Cecconello, 2013. "Stationary Points—I: One‐Dimensional p‐Fuzzy Dynamical Systems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    3. Joao de Deus M. Silva & Jefferson Leite & Rodney C. Bassanezi & Moiseis S. Cecconello, 2013. "Stationary Points—I: One-Dimensional p-Fuzzy Dynamical Systems," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, September.
    4. Moiseis S. Cecconello & Jefferson Leite & Rodney C. Bassanezi & Joao de Deus M. Silva, 2013. "About Projections of Solutions for Fuzzy Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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