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 Çuvalcıoğlu Department of Mathematics, University of Mersin, 33016 Yenişehir - Mersin, Turkey gcuvalcioglu@gmail.com Arif Bal Department of Mathematics, University of Mersin, 33016 Yenişehir - Mersin, Turkey arif.bal.math@gmail.com Esra Aykut Department of Mathematics, University of Mersin, 33016 Yenişehir - Mersin, Turkey eaykutt89@hotmail.com Presented at: 18th International Conference on Intuitionistic Fuzzy Sets, 10–11 May 2014, Sofia, Bulgaria Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 20, 2014, Number 2, pages 60-68 Download:  PDF (173  Kb, File info) 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: 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. Akinmoyewa, J. T., A study of some properties of generalized groups, Octogon Mathematical Magazine, Vol. 17, 2009, No. 2, 599–626. Atanassov, K. T., Intuitionistic Fuzzy Sets, Phiysica-Verlag, Heidelberg, 1999. Bakhshi, M., R. A. Borzooei, Some properties of T-fuzzy generalized subgroups. Iran. J. Fuzzy Syst., Vol. 6, 2009, No. 4, 73–87. 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. 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. 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. Molaei, M. R., A. Hoseini, On generalized groups, Gazete Matematica, Advanced Series, No. 1, 2000, 36–39. Zadeh, L. A., Fuzzy sets, Information and Control, Vol. 8, 1965, 338–353. 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.