16-17 May 2019 • Sofia, Bulgaria

Submission: 21 February 2019Notification: 11 March 2019Final Version: 1 April 2019

Issue:Fundamental properties of generalized intuitionistic fuzzy groups

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Title of paper: Fundamental properties of generalized intuitionistic fuzzy groups
Author(s):
Gökhan Çuvalcioğlu
Department of Mathematics, University of Mersin, 33016 Yenişehir - Mersin, Turkey
gcuvalciogluAt sign.pnggmail.com
Arif Bal
Department of Mathematics, University of Mersin, 33016 Yenişehir - Mersin, Turkey
arif.bal.mathAt sign.pnggmail.com
Esra Aykut
Department of Mathematics, University of Mersin, 33016 Yenişehir - Mersin, Turkey
eaykutt89At sign.pnghotmail.com
Presented at: 18th International Conference on Intuitionistic Fuzzy Sets, 10–11 May 2014, Sofia, Bulgaria
Published in: "Notes on IFS", Volume 20, 2014, Number 2, pages 60-68
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Abstract: In this paper, we deal with Molaei’s generalized groups. This paper is based on a new algebraic structure called generalized groups and application on intuitionistic fuzzy group. We defined a new structure called generalized intuitionistic fuzzy groups. In this paper, we applied an intuitionistic fuzzy property on a generalized groups.We researched a generalized intuitionistic fuzzy group is a intuitionistic fuzzy group under which conditions.We defined some proposition about relations between identical element and elemnts in Ga means that a set which element have same identical element also it was defined by M.R Molaei in membership function and a-level set.
Keywords: Intuitionistic fuzzy sets, Intuitionistic fuzzy generalized group.
AMS Classification: 03E72
References:
  1. Adeniran, J. O., J. T. Akinmoyewa, A. R. T. S¸ olarin, T. G. Jaiyeola, On some algebraic properties of generalized group. Octogon Mathematical Magazine, Vol. 17, 2009, No. 1, 125–134.
  2. Akinmoyewa, J. T., A study of some properties of generalized groups, Octogon Mathematical Magazine, Vol. 17, 2009, No. 2, 599–626.
  3. Atanassov, K. T., Intuitionistic Fuzzy Sets, Phiysica-Verlag, Heidelberg, 1999.
  4. Bakhshi, M., R. A. Borzooei, Some properties of T-fuzzy generalized subgroups. Iran. J. Fuzzy Syst., Vol. 6, 2009, No. 4, 73–87.
  5. Borzaei, R. A., G. R. Rezai, M. R. Molaei, Classification 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.
  6. Molaei, M. R., Generalized groups, Proc. of International Conference on Algebra, 14–17 Oct. 1998, Romania, Buletinul Institului Polithic Dinlasi, Vol. XLV(XLIX), 1999, 21–24.
  7. Molaei, M. R, Generalized actions, Proc. of “Geometry, Integrability and Quantization”, 1–10 Sept. 1999, Varna, Bulgaria, (Mladenov, I., G. L. Naber, Eds.), Coral Press, Sofia, 2000, 175–179.
  8. Molaei, M. R., A. Hoseini, On generalized groups, Gazete Matematica, Advanced Series, No. 1, 2000, 36–39.
  9. Zadeh, L. A., Fuzzy sets, Information and Control, Vol. 8, 1965, 338–353.
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