| Title of paper:
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On intuitionistic fuzzy homotopy theory
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| Author(s):
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| Mehmet Çitil
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| Department of Mathematics, University of Sütçü İmam, K. Maraş, Turkey
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| citil@ksu.edu.tr
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| Gökhan Çuvalcioğlu
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| Department of Mathematics, University of Mersin, 33016 Yenişehir - Mersin, Turkey
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| gcuvalcioglu@gmail.com
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| Presented at:
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18th International Conference on Intuitionistic Fuzzy Sets, 10–11 May 2014, Sofia, Bulgaria
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 20, 2014, Number 2, pages 31—36
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| Download:
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 PDF (156 Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Intuitionistic fuzzy homotopy, Intuitionistic fuzzy sets, Intuitionistic fuzzy topology.
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| AMS Classification:
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03E72
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| References:
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- 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)
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| Citations:
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