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Convergence, Consistence, and Stability Analysis of One-Step Methods for First-Order Intuitionistic Fuzzy Differential Equations

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  • Bouchra Ben Amma

    (Sultan Moulay Slimane University, Morocco)

  • Said Melliani

    (Sultan Moulay Slimane University, Morocco)

  • Lalla Saadia Chadli

    (Sultan Moulay Slimane University, Morocco)

Abstract

In this work, we consider the initial value problems in intuitionistic fuzzy ordinary differential equations. The one-step method for approximating the solution of these problems has been defined. The convergence, consistency, and stability of the difference method for approximating the solution of intuitionistic fuzzy differential equations are studied, and the local truncation error is defined. The accuracy and efficiency of the proposed concept are illustrated by solving some numerical examples.

Suggested Citation

  • Bouchra Ben Amma & Said Melliani & Lalla Saadia Chadli, 2022. "Convergence, Consistence, and Stability Analysis of One-Step Methods for First-Order Intuitionistic Fuzzy Differential Equations," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 11(1), pages 1-23, January.
    • Handle: RePEc:igg:jfsa00:v:11:y:2022:i:1:p:1-23
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