16-17 May 2019 • Sofia, Bulgaria

Submission: 21 February 2019Notification: 11 March 2019Final Version: 1 April 2019

Issue:On intuitionistic fuzzy homotopy theory

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Title of paper: On intuitionistic fuzzy homotopy theory
Author(s):
Mehmet Çitil
Department of Mathematics, University of Sütçü İmam, K. Maraş, Turkey
citilAt sign.pngksu.edu.tr
Gökhan Çuvalcioğlu
Department of Mathematics, University of Mersin, 33016 Yenişehir - Mersin, Turkey
gcuvalciogluAt sign.pnggmail.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
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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:
  1. Atanassov, K. T., Intuitionistic fuzzy sets, Proc. of VII ITKR’s Session, Sofia, June, 1983.
  2. 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.
  3. Çuvalcioğlu, G., M. Çitil , On fuzzy homotopy theory, Advanced Studies in Cont. Math., Vol. 12, 2006, No. 1, 163–166.
  4. Gündüz, C¸ ., S. Bayramov, On fuzzy homotopy sets, Advances in Theoretical and Applied Mathematics, Vol. 1, 2006, No. 3, 201–210.
  5. Palmeira, E. S., B. R. C. Bedregal, On F–homotopy and F–fundamental group, Fuzzy Information Processing Society (NAFIPS), 2011, 1–6.
  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)
  7. Zadeh, L. A., Fuzzy sets, Information and Control, Vol. 8, 1965, 338–353.
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