| Title of paper:
|
Intuitionistic fuzzy action of a group on a set
|
| Author(s):
|
| Sinem Tarsuslu
|
| Mersin University, Faculty of Arts and Sciences, Department of Mathematics, Mersin, Turkey
|
| sinemnyilmaz@gmail.com
|
| Ali Tarsuslu
|
| Private Science Academy Children’s Club, Mersin, Turkey
|
| alitarsuslu@gmail.com
|
| Mehmet Çitil
|
| Kahramanmaras, Sütcü Imam University, Faculty of Arts and Sciences, Department of Mathematics, Kahramanmaras, Turkey
|
| mehmet.citil4600@gmail.com
|
|
| Published in:
|
Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 2, pages 18–24
|
| DOI:
|
https://doi.org/10.7546/nifs.2018.24.2.18-24
|
| Download:
|
 PDF (174 Kb Kb, File info)
|
| Abstract:
|
Intuitionistic fuzzy set theory was introduced by Atanassov as an extension of fuzzy sets [1]. The algebraic structures like groups, rings, modules, etc. were generalized to intuitionistic fuzzy sets by different authors. Some properties of them were studied [4, 9, 11, 14, 15]. In this study, we generalized the action of a group on a set to intuitionistic fuzzy action. We obtained some basic results.
|
| Keywords:
|
Intuitionistic fuzzy sets, Intuitionistic fuzzy algebraic structures, Intuitionistic fuzzy actions.
|
| AMS Classification:
|
03E72, 47S40
|
| References:
|
- Atanassov, K. T. (1983) Intuitionistic Fuzzy Sets, VII ITKR Session, Sofia, June, 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20 (S1), S1–S6.
- Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets, Spinger, Heidelberg.
- Atanassov, K. T., C¸ uvalcıo˘glu G., & Atanassova, V. (2014) A new modal operator over intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 20(5), 1–8.
- Biswas, R. (1989) Intuitionistic fuzzy subgroups, Mathematical Forum, Vol. X, 37–46.
- Boixader, D., & Recasens, J. (2018) Fuzzy Actions, Fuzzy Sets and Systems, 339, 17–30.
- Burillo, P., & Bustince, H. (1995) Intuitionistic fuzzy relations (Part I) Mathware & Soft Computing, 2, 5–38.
- Bustince, H., & Burillo, P. (1996) Structures on intuitionistic fuzzy relations, Fuzzy Sets and Systems, 78, 293–303.
- Cuvalcıoglu, G. (2010) Expand the modal operator diagram with Z! �;�, Proc. Jangjeon Math. Soc, 13 (3), 403–412.
- Cuvalcıoglu, G. & Tarsuslu (Yılmaz), S. (2017) Universal algebra in intuitionistic fuzzy set theory, Notes on Intuitionistic Fuzzy Sets, 23(1), 1–5.
- Hungerford, T. W. (1974) Algebra, Springer, Verlag, New York Inc.
- Hur, K., Jang Y. & Kang H. W. (2003) Intuitionistic fuzzy Subgroupoid, Int. Jour. of Fuzzy Logic and Int. Sys., 3(1), 72–77.
- Yılmaz, S., Cuvalcıoglu, G. (2014) On level operators for temporal intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 20(2), 6–15.
- Hur, K., Jang, S. Y. & Ahn, Y. S. (2005) Intuitionistic fuzzy equivalence relations, Honam Math. J. 27(2), 163–181.
- Yılmaz, S., Cuvalcıoglu, G. (2016). On Study of Some Intuitionistic Fuzzy Operators for Intuitionistic Fuzzy Algebraic Structures, Journal of Fuzzy Set Valued Analysis, 2016(3), 317–325.
- Yan, L., (2008) Intuitionistic Fuzzy Ring and Its Homomorphism Image, Int. Seminar on FBM Inf. Eng., 75–77.
- 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.
|
|
