| Title of paper:
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Complex intuitionistic fuzzy evolution 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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| 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 IFS", Volume 23, 2017, Number 2, pages 55—68
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| Download:
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 PDF (157 Kb Kb, Info)
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| Abstract:
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In this work, we define a complex intuitionistic fuzzy strongly continuous semigroup and some properties. We use this theory to prove the existence and uniqueness of a mild solution to the Complex intuitionistic fuzzy evolution equations.
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| Keywords:
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Complex intuitionistic fuzzy sets, Complex intuitionistic fuzzy evolution equations, Mild solution.
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| AMS Classification:
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03E72, 47D06.
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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.
- El Allaoui, A., Melliani, S., & Chadli, L. S. (2016). Representation of complex intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 22(2), 22–31.
- El Allaoui, A., Melliani, S., & Chadli, L. S. (2016). The Cauchy problem for complex intuitionistic fuzzy differential equations, Notes on Intuitionistic Fuzzy Sets, 22(4), 53–63.
- 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, 2, 148–155.
- Ettoussi, R., Melliani, S., Elomari, M., & Chadli, L. S. (2015). Solution of intuitionistic fuzzy differential equations by successive approximations method, Notes on Intuitionistic Fuzzy Sets, 21(2), 51–62.
- Melliani, S., El Allaoui, A., & Chadli, L. S. (2017). Relation between fuzzy semigroups and fuzzy dynamical systems, Nonlinear Dynamics and Systems Theory, 17(1), 60–69.
- Melliani, S., Eljaoui, E. H., &Chadli, L. S. (2016). Fuzzy differential equation with nonlocal conditions and fuzzy semigroups, Advances in Difference Equations, 2016:35.
- Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi R. (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.
- Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338–353.
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