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The Numerical Solution of Intuitionistic Fuzzy Differential Equations by the Third Order Runge-Kutta Nyström Method

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Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications

Part of the book series: Studies in Computational Intelligence ((SCI,volume 862))

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Abstract

In this work we introduce numerical algorithm for solving intuitionistic fuzzy differential equations. We discuss in detail a numerical method based on a Runge-Kutta Nyström method. Sufficiently conditions for the convergence of the proposed algorithms are given and their applicability is illustrated via an example.

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Author information

Authors and Affiliations

  1. Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technologies, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco

    Bouchra Ben Amma, Said Melliani & S. Chadli

Authors
  1. Bouchra Ben Amma
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  2. Said Melliani
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  3. S. Chadli
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Corresponding author

Correspondence to Bouchra Ben Amma .

Editor information

Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Oscar Castillo

  2. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Patricia Melin

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Ben Amma, B., Melliani, S., Chadli, S. (2020). The Numerical Solution of Intuitionistic Fuzzy Differential Equations by the Third Order Runge-Kutta Nyström Method. In: Castillo, O., Melin, P., Kacprzyk, J. (eds) Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications. Studies in Computational Intelligence, vol 862. Springer, Cham. https://doi.org/10.1007/978-3-030-35445-9_11

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