| Title of paper:
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Representation of complex grades of membership and non-membership for a 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, PO Box 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, PO Box 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, PO Box 523, 23000 Beni Mellal Morocco
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 5, pages 51—60
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| Download:
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 PDF (178 Kb Kb, File info)
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| Abstract:
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In this paper, we propose the notion of comlex intuitionistic fuzzy sets defined by complex-valued membership and non-membership functions in order to make extension the result presented in [5]. We first give cartesian representation 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(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, Bulgarian Academic Monographs, Vol. 12, Professor Marin Drinov Academic Publishing House, Sofia.
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- 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.
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- 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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