Issue:Representation of complex grades of membership and non-membership for a complex intuitionistic fuzzy sets

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http://ifigenia.org/wiki/issue:nifs/23/5/51-60

Title of paper: Representation of complex grades of membership and non-membership for a complex intuitionistic fuzzy sets Author(s): A. El Allaoui Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco Said Melliani Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco said.melliani@gmail.com Lalla Saadia Chadli Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 5, pages 51—60 Download:  PDF (178 Kb  Kb, File info) Abstract: 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. Keywords: Complex intuitionistic fuzzy sets, Cartesian representation, Polar representation. AMS Classification: 03F55. References: 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. Elomari, M., Melliani, S., Ettoussi R., & Chadli, L. S. (2015) Intuitionistic fuzzy semigroup, 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. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.