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Numerical Solution for Reversible Chemical Reaction Models with Interactive Fuzzy Initial Conditions

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Fuzzy Information Processing 2020 (NAFIPS 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1337))

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Abstract

This manuscript studies the reversible chemical reactions described by a system of fuzzy differential equations, with initial conditions given by interactive fuzzy numbers. The fuzzy solution is given by the Euler method based on the arithmetic for interactive fuzzy numbers. An example is presented in order to illustrate the different types of interactivity that produce the solutions for the system.

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Acknowledgements

The authors would like to thank the support of CNPq under grant no. 306546/2017-5 and FAPESP under grant no. 2016/26040-7.

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Authors and Affiliations

  1. São Paulo State University, Rio Claro, São Paulo, Brazil

    Vinícius F. Wasques

  2. University of Campinas, Campinas, São Paulo, Brazil

    Estevão Esmi & Laécio Carvalho de Barros

  3. Federal University of São Paulo, Osasco, São Paulo, Brazil

    Francielle Santo Pedro

Authors
  1. Vinícius F. Wasques
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  2. Estevão Esmi
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  3. Laécio Carvalho de Barros
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  4. Francielle Santo Pedro
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Corresponding author

Correspondence to Vinícius F. Wasques .

Editor information

Editors and Affiliations

  1. Department of Mathematics, DigiPen Institute of Technology, Redmond, WA, USA

    Barnabás Bede

  2. Department of Computer Science, University of Texas at El Paso, El Paso, TX, USA

    Martine Ceberio

  3. School of Engineering and Technology, University of Washington, Tacoma, WA, USA

    Martine De Cock

  4. Department of Computer Science, University of Texas at El Paso, El Paso, TX, USA

    Vladik Kreinovich

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Wasques, V.F., Esmi, E., de Barros, L.C., Pedro, F.S. (2022). Numerical Solution for Reversible Chemical Reaction Models with Interactive Fuzzy Initial Conditions. In: Bede, B., Ceberio, M., De Cock, M., Kreinovich, V. (eds) Fuzzy Information Processing 2020. NAFIPS 2020. Advances in Intelligent Systems and Computing, vol 1337. Springer, Cham. https://doi.org/10.1007/978-3-030-81561-5_10

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