| Title of paper:
|
On intuitionistic fuzzy homotopy theory
|
| Author(s):
|
| Mehmet Çitil
|
| Department of Mathematics, University of Sütçü İmam, K. Maraş, Turkey
|
| citil@ksu.edu.tr
|
| Gökhan Çuvalcioğlu
|
| Department of Mathematics, University of Mersin, 33016 Yenişehir - Mersin, Turkey
|
| gcuvalcioglu@gmail.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 31—36
|
| Download:
|
 PDF (156 Kb, File info)
|
| Abstract:
|
The homotopy theory is used some areas in mathematics and it has some applications in different areas. The fuzzy homotopy theory was introduced by authors [4] in 2006. After this paper, some topological other structures were studied by several authors [2, 3, 5, 6].
In this paper, firstly, we defined the intuitionistic fuzzy homotopic functions using topological properties. Then, we got some properties of intuitionistic fuzzy homotopic functions and concept of intuitionistic fuzzy homotopy theory.
|
| Keywords:
|
Intuitionistic fuzzy homotopy, Intuitionistic fuzzy sets, Intuitionistic fuzzy topology.
|
| AMS Classification:
|
03E72
|
| References:
|
- Atanassov, K. T., Intuitionistic fuzzy sets, Proc. of VII ITKR’s Session, Sofia, June, 1983.
- Bayramov, S., C¸ . Gündüz, The Cech homology theory in the category of Sostak fuzzy topological spaces, Int. J. Contemp. Math. Sciences, Vol. 5, 2010, No. 9, 433–448.
- Çuvalcioğlu, G., M. Çitil , On fuzzy homotopy theory, Advanced Studies in Cont. Math., Vol. 12, 2006, No. 1, 163–166.
- Gündüz, C¸ ., S. Bayramov, On fuzzy homotopy sets, Advances in Theoretical and Applied Mathematics, Vol. 1, 2006, No. 3, 201–210.
- Palmeira, E. S., B. R. C. Bedregal, On F–homotopy and F–fundamental group, Fuzzy Information Processing Society (NAFIPS), 2011, 1–6.
- Yogalakshimi, T., E. Roja, M. K. Uma, Soft fuzzy soft homotopy and its topological foldings of a soft fuzzy soft manifold, Annals of Fuzzy Mathematics and Informatics, (in press)
- 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.
|
|
