| Title of paper:
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Representation of complex intuitionistic fuzzy sets
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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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| 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 IFS", Volume 22, 2016, Number 2, pages 22—31
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| Download:
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 PDF (127 Kb, Info)
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| Abstract:
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In this paper, we propose the notion of complex intuitionistic fuzzy sets defined by complex-valued membership and non-membership functions in order to make extension the result presented in [6]. We first give a Cartesian representation, and then we discuss the polar representation.
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| Keywords:
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Complex intuitionistic fuzzy sets, Cartesian representation, Polar representation.
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| AMS Classification:
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03F55.
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| References:
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- 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 (12), Professor Marin Drinov Academic Publishing House, Sofia.
- Ettoussi, R., Melliani, S., Elomari, M., & Chadli, L. S. (2015) Solution of intuitionistic fuzzy differential equations by successive approximations method, Proc. of 19th Int. Conf. on IFSs, Burgas, 4–6 June 2015, Notes on Intuitionistic Fuzzy Sets, 21(2), 51–62.
- Elomari, M., Melliani, S., Ettoussi, R. & Chadli, L. S. (2015) Intuitionistic fuzzy semigroup, Proc. 19th Int. Conf. on IFSs, Burgas, 4–6 June 2015 Notes on Intuitionistic Fuzzy Sets, 21(2), 43–50.
- Karpenko, D., Van Gorder, R. A. & Kandel, A. (2014) The Cauchy problem for complex fuzzy differential equations, Fuzzy Sets and Systems 245, 18–29.
- 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.
- Tamir, D. E., Jin, L., & Kandel, A. (2011) A new interpretation of complex membership grade, Int. J. Intell. Syst., 26, 285–312.
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| Citations:
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