| Title of paper:
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Numerical solution of intuitionistic fuzzy differential equations by Euler and Taylor methods
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| Author(s):
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| B. Ben Amma
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| Said Melliani
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| said.melliani@gmail.com
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| Lalla Saadia Chadli
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| Presented at:
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International Conference on Intuitionistic Fuzzy Sets Theory and Applications, 20–22 April 2016, Beni Mellal, Morocco
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 2, pages 71—86
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| Download:
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 PDF (127 Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Euler and p-order Taylor methods, Intuitionistic fuzzy Cauchy problem, Intuitionistic fuzzy number.
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| AMS Classification:
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03E72, 08A72.
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| References:
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- Abbasbandy S., & Allah Viranloo, T. (2002) Numerical Solution of fuzzy differential equations by Taylor method, J. Comp. Methods Appl. Math. , 2, 113–124.
- Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 87–96.
- Atanassov, K. (1999) Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Berlin.
- Buckely, J. J., & Feuring, T. (2000) Fuzzy differential equations, Fuzzy Sets and Systems, 110, 43–54.
- Chang, S. L., & Zadeh, L. A. (1972) On fuzzy mapping and control, IEEE Trans. Systems Man Cybernet. , 2, 30–34
- Friedman, M. & Kandel, A. (1999) Numerical solution of fuzzy differential equations, Fuzzy Sets and Systems, 105, 133–138.
- Kaleva, O. (1987) Fuzzy differential equations, Fuzzy Set and Systems, 24, 301–317.
- Kaleva, O. (1990) The Cauchy Problem for Fuzzy Differential Equations, Fuzzy Sets and Systems, 35, 389–396.
- Kaleva, O. (2006) A note on Fuzzy differential equations, Nonlinear Analysis, 64, 895–900.
- Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015) Intuitionistic fuzzy metric space, Notes on Instuitionistic Fuzzy Sets, 21(1), 43–53.
- Melliani, S., Ettoussi, R., Elomari, M., & Chadli, L. S. (2015) Solution of intuitionistic fuzzy differential equations by successive approximations method, Notes on Instuitionistic Fuzzy Sets, 21(2) 51–62.
- Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015) Extension of Hukuhara difference in intuitionistic fuzzy set theory, Notes on Instuitionistic Fuzzy Sets, 21(4), 34–47.
- Melliani, S., & Chadli, L. C. (2003) Solution of intuitionistic fuzzy equation with extended operations, Notes on Instuitionistic Fuzzy Sets, 9(3), 26–32.
- Seikkala, S. (1987) On the fuzzy initial value problem, Fuzzy Sets and Systems, 24, 319–330.
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| Citations:
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