| Title of paper:
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Averaging of intuitionistic fuzzy differential equations
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| Author(s):
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| A. El Allaoui
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| S. 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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| Y. Allaoui
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| L. S. 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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21st International Conference on Intuitionistic Fuzzy Sets, 22–23 May 2017, Burgas, Bulgaria
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 2, pages 44—54
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| Download:
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 PDF (157 Kb Kb, File info)
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| Abstract:
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In this paper, we shall prove and discuss averaging of intuitionistic fuzzy differential equations. The main results generalize previous ones in fuzzy sets theory.
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| Keywords:
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Intuitionistic fuzzy sets, Intuitionistic fuzzy differential equations
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| AMS Classification:
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03E72, 34A07.
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| References:
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- Atanassov K. T. (1983). Intuitionistic fuzzy sets, VII ITKR Session, Sofia, 20–23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
- Atanassov, K. (1986). Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
- Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg.
- Atanassov, K. T., Vassilev, P. M., & Tsvetkov, R. T. (2013). Intuitionistic Fuzzy Sets, Measures and Integrals, Bulgarian Academic Monographs Series, Vol. 12, “Professor Marin Drinov” Academic Publishing House, Sofia.
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- Melliani, S., Elomari, M., Ettoussi, R., & Chadli, L. S. (2015). Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
- Plotnikov, A. V., & Komleva, T. A. (2012). Averaging of the fuzzy differential equations, J. Uncertain Syst. 6(1), 30–37.
- Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338–353.
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