Issue:On intuitionistic fuzzy generalized groups

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Title of paper: On intuitionistic fuzzy generalized groups
Author(s):
Gökhan Çuvalcioğlu
Department of Mathematics, University of Mersin, 33016, Yenişehir, Mersin, Turkey
gcuvalcioglu@,At sign.pngmersin.edu.tr
Mehmet Çitil
Department of Mathematics, University of Sütcü Imam, Kahramanmaraş, Turkey
gurdalmehmetAt sign.pngsdu.edu.tr
Arif Bal
Department of Mathematics, University of Mersin, 33016, Yenişehir, Mersin, Turkey
arif.bal.mathAt sign.pnggmail.com
Presented at: International Conference on Intuitionistic Fuzzy Sets Theory and Applications, 20–22 April 2016, Beni Mellal, Morocco
Published in: "Notes on IFS", Volume 22, 2016, Number 2, pages 64—70
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Abstract: Generalized groups were introduced by Molaei [6]. The concept of intuitionistic fuzzy generalized groups was defined by authors in 2014 [4]. In this paper, we introduced a new type of intuitionistic fuzzy generalized groups. In this new type of intuitionistic fuzzy generalized groups, if two different elements of a set are in different e-component sets, they have different membership degree. By the help of the new type, we examined some properties of this structure.
Keywords: Intuitionistic fuzzy sets, Intuitionistic fuzzy generalized group.
AMS Classification: 03E72
References:
  1. Adeniran, J. O., Akinmoyewa, J. T., S¸ olarin, A. R. T., & Jaiyeola, T. G. (2009) On Some Algebraic Properties of Generalized Group. Octogon Mathematical Magazine, 17(1), 125–134.
  2. Akinmoyewa, J. T. (2009) A study of some properties of generalized groups. Octogon Mathematical Magazine, 17(2), 599–626.
  3. Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets, Phiysica-Verlag, Heidelberg.
  4. Borzaei, R. A., Rezai, G. R., & Molaei, M. R. (2000) Classication of Generalized Group of Order 2 and 3, Proc. of 2000 WSES International Conference on Applied and Theoretical Mathematics, 1–3 Dec. 2000, Vravrona, Greece, 1791–1795.
  5. Çuvalcioğlu, G., Bal, A., & Aykut, E. (2014) On Intuitionistic Fuzzy Generalized Groups, Notes on Intuitionistic Fuzzy Sets, 20(2), 60–68.
  6. Molaei, M. R. (1999) Generalized Groups, In: Proc. of International Conference on Algebra. October 14–17, Romania,1998, Buletinul Institului Polithic Dinlasi, Vol. XLV(XLIX), 21–24.
  7. Molaei, M. R. (1999) Generalized actions. Proc. of Int. Conf. “Geometry, Integrability and Quantization”. September 1–10,1999, Varna, Bulgaria (Mladenov, I. M. and Naber G. L., Editors), Coral Press, Sofia, 2000, 175–179.
  8. Bakhshi, M., & Borzooei, R. A. (2009) Some properties of T-fuzzy generalized subgroups. Iran. J. Fuzzy Syst., 6(4), 73–87.
  9. Molaei, M.R, & Hoseini, A. (2000) On Generalized Groups, Gazete Matematica, Advanced Series, 1, 36–39.
  10. Zadeh, L. A. (1965) Fuzzy Sets, Information and Control, 8, 338–353.
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