| Title of paper:
|
On intuitionistic fuzzy generalized groups
|
| Author(s):
|
| Gökhan Çuvalcioğlu
|
| Department of Mathematics, University of Mersin, 33016, Yenişehir, Mersin, Turkey
|
| gcuvalcioglu@,@mersin.edu.tr
|
| Mehmet Çitil
|
| Department of Mathematics, University of Sütcü Imam, Kahramanmaraş, Turkey
|
| gurdalmehmet@sdu.edu.tr
|
| Arif Bal
|
| Department of Mathematics, University of Mersin, 33016, Yenişehir, Mersin, Turkey
|
| arif.bal.math@gmail.com
|
|
| Presented at:
|
International Conference on Intuitionistic Fuzzy Sets Theory and Applications, 20–22 April 2016, Beni Mellal, Morocco
|
| Published in:
|
"Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 2, pages 64—70
|
| Download:
|
 PDF (127 Kb, File info)
|
| 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:
|
- 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.
- Akinmoyewa, J. T. (2009) A study of some properties of generalized groups. Octogon Mathematical Magazine, 17(2), 599–626.
- Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets, Phiysica-Verlag, Heidelberg.
- 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.
- Çuvalcioğlu, G., Bal, A., & Aykut, E. (2014) On Intuitionistic Fuzzy Generalized Groups, Notes on Intuitionistic Fuzzy Sets, 20(2), 60–68.
- 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.
- 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.
- Bakhshi, M., & Borzooei, R. A. (2009) Some properties of T-fuzzy generalized subgroups. Iran. J. Fuzzy Syst., 6(4), 73–87.
- Molaei, M.R, & Hoseini, A. (2000) On Generalized Groups, Gazete Matematica, Advanced Series, 1, 36–39.
- Zadeh, L. A. (1965) Fuzzy Sets, Information and Control, 8, 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.
|
|
