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Issue:Temporal intuitionistic fuzzy topology in Šostak's sense

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Title of paper: Temporal intuitionistic fuzzy topology in Šostak's sense
Author(s):
Fatih Kutlu
Department of Electronic and Communication Technologies, Yüzüncü Yıl University, Van, Turkey
fatihkutlu@yyu.edu.tr
Tunay Bilgin
Department of Electronic and Communication Technologies, Yüzüncü Yıl University, Van, Turkey
tbilgin@yyu.edu.tr


Presented at: 19th International Conference on Intuitionistic Fuzzy Sets, 4–6 June 2015, Burgas, Bulgaria
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 2, pages 63—70
Download:  PDF (169  Kb, File info)
Abstract: In this study, we extended the concept of Šostak’s sense topological spaces to temporal intuitionistic fuzzy sets and investigated some properties of this space. Also, we gave

topological instant closure and instant interior operators for temporal intuitionistic fuzzy topological space (briefly ST-TIFS).

Keywords: Temporal intuitionistic fuzzy set, Šostak topology.
AMS Classification: 03E72, 46S40.
References:
  1. Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
  2. Atanassov, K. T. (2012) On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
  3. Atanassov, K. T. (1991) Temporal intuitionistic fuzzy sets, Comptes Rendus de l’Academie Bulgare, 7, 5–7.
  4. Çoker, D., & Demirci, M. (1996) An introduction to intuitionistic topological spaces in Šostak’s sense, BUSEFAL, 67, 67–76.
  5. Chang, C. L. (1968) Fuzzy topological spaces, J. Math Ana. Appl., 24, 182–190.
  6. Šostak, A. (1985) On a fuzzy topological structure, Rend Circ. Mat. Palermo Supp., 11, 89–103.
  7. Parvathi, R., & Geetha, S. P. (2009) A note on properties of temporal intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 15(1), 42–48.
  8. Ertürk, R., & Demirci, M. (1998) On the compactness in fuzzy topological spaces in Šostak’s sense, Matematicki Vesnik, 50(3), 75–81.
  9. Ramadan, A. A., Abbas, S.E., & Abd El-latif A. A. (2005) Compactness in fuzzy topological spaces, International Journal of Mathematics and Mathematical Sciences, 1, 19–32.
  10. Yýlmaz, S., & Çuvalcýoðlu, G. (2014) On level operators for temporal intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 20(2), 6–15.
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