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Issue:On intuitionistic fuzzy pairs

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Title of paper: On intuitionistic fuzzy pairs
Author(s):
Krassimir Atanassov
Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
krat@bas.bg
Eulalia Szmidt
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01–447 Warsaw, Poland
szmidt@ibspan.waw.pl
Janusz Kacprzyk
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01–447 Warsaw, Poland
kacprzyk@ibspan.waw.pl
Presented at: 17th International Conference on Intuitionistic Fuzzy Sets, 1–2 November 2013, Sofia, Bulgaria
Published in: "Notes on IFS", Volume 19, 2013, Number 3, pages 1—13
Download:  PDF (180  Kb, Info)
Abstract: The concept of an intuitionistic fuzzy pair is introduced and described formally. Relations, operations and operators over these pairs are defined.
Keywords: Intuitionistic fuzzy pair, intuitionistic fuzzy set.
AMS Classification: 03E72
References:
  1. Atanassov, K. Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heldelberg, 1999.
  2. Atanassov, K. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
  3. Atanassova, L., A new intuitionistic fuzzy implication, Cybernetics and Information Technologies, Vol. 9, 2009, No. 2, 21–25.
  4. Atanassova, L., On two modifications of the intuitionistic fuzzy implication →@, Notes on Intuitionistic Fuzzy Sets, Vol. 18, 2012, No. 2, 26–30.
  5. Atanassova, L., On the modal form of the intuitionistic fuzzy implications →'@ and →"@, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 10, 5–11.
  6. Çuvalcioğlu, G., Some properties of Eα,β operator. Advanced Studies in Contemporary Mathematics, Vol. 14, 2007, No. 2, 305–310.
  7. Dworniczak, P., Some remarks about the L. Atanassova’s paper “A new intuitionistic fuzzy implication”, Cybernetics and Information Technologies, Vol. 10, 2010, No. 3, 3–9.
  8. Dworniczak, P., On one class of intuitionistic fuzzy implications, Cybernetics and Information Technologies, Vol. 10, 2010, No. 4, 13–21.
  9. Dworniczak, P., On some two-parametric intuitionistic fuzzy implications, Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 2, 8–16.
  10. Szmidt, E., Distances and Similarities in Intuitionistic Fuzzy Sets, Springer, Berlin, 2013.
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