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Issue:Numerical solution of intuitionistic fuzzy differential equations by Euler and Taylor methods

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Title of paper: Numerical solution of intuitionistic fuzzy differential equations by Euler and Taylor methods
Author(s):
B. Ben Amma
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Said Melliani
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
said.melliani@gmail.com
Lalla Saadia Chadli
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Presented at: International Conference on Intuitionistic Fuzzy Sets Theory and Applications, 20–22 April 2016, Beni Mellal, Morocco
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 2, pages 71—86
Download:  PDF (127  Kb, File info)
Abstract: In this paper, numerical algorithms for solving intuitionistic fuzzy differential equations are considered. A scheme based on the Euler and Taylor methods of order p are discussed in detail and this is followed by a complete error analysis. Some numerical illustrations are given to show the efficiency of the algorithms.
Keywords: Euler and p-order Taylor methods, Intuitionistic fuzzy Cauchy problem, Intuitionistic fuzzy number.
AMS Classification: 03E72, 08A72.
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