| Title of paper:
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The Cauchy problem for complex intuitionistic fuzzy differential equations
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| Author(s):
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| A. El Allaoui
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| LMACS, Laboratoire de Mathematiques Appliquees & Calcul Scientifique, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco
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| S. Melliani
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| LMACS, Laboratoire de Mathematiques Appliquees & Calcul Scientifique, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco
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| said.melliani@gmail.com
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| L. S. Chadli
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| LMACS, Laboratoire de Mathematiques Appliquees & Calcul Scientifique, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco
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| Presented at:
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3rd International Intuitionistic Fuzzy Sets Conference, 9 Aug – 1 Sep 2016, Mersin, Turkey
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| Published in:
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"Notes on IFS", Volume 22, 2016, Number 4, pages 53—63
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| Download:
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 PDF (215 Kb, Info)
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| Abstract:
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In this paper, we discuss the existence of a solution to the Cauchy problem for complex intuitionistic fuzzy differential equations. We first propose definitions of complex intuitionistic fuzzy sets and discuss entailed results which parallel those of complex fuzzy sets.
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| Keywords:
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Complex intuitionistic fuzzy sets, Complex intuitionistic fuzzy differential equations.
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| AMS Classification:
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03F55, 34A07.
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| References:
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- Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 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, Series Bulgarian Academic Monographs, Vol. 12, Professor Marin Drinov Academic Publishing House, Sofia.
- El Allaoui, A., Melliani, S., & Chadli, L. S. (2016) Representation of complex intuitionistic fuzzy sets, ICIFSTA, Beni Mellal, Morocco, 20–22 April 2016, Notes on Intuitionistic Fuzzy Sets, 22, 2016(2), 22–31.
- El Allaoui, A., Melliani, S. & Chadli, L. S. (2016) Fuzzy dynamical systems and Invariant attractor sets for fuzzy strongly continuous semigroups, Journal of Fuzzy Set Valued Analysis, 2016(2), 148–155.
- Ettoussi, R., Melliani, S., Elomari, M., & Chadli, L. S. (2015) Solution of intuitionistic fuzzy differential equations by successive approximations method, 19th Int. Workshop on IFSs, Burgas, 4–6 June 2015, Notes on Intuitionistic Fuzzy Sets, 21(2), 51–62.
- Melliani, S., Elomari, M., Ettoussi, R., & Chadli, L. S. (2015) Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
- Ramot, D., Milo, R., Friedman, M., & Kandel, A. (2002) Complex fuzzy sets, IEEE Trans. Fuzzy Syst., 10, 171–186.
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| Citations:
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