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Issue:A note on a family of multiplicative and additive mappings preserving the class IFS(X)

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Title of paper: A note on a family of multiplicative and additive mappings preserving the class IFS(X)
Author(s):
Peter Vassilev
Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
peter.vassilev@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 4, pages 13–19
DOI: https://doi.org/10.7546/nifs.2018.24.4.13-19
Download:  PDF (164 Kb  Kb, Info)
Abstract: In the present paper we consider additive and multiplicative mappings which preserve the class of intuitionistic fuzzy sets defined over the same universe set X.
Keywords: Intuitionistic fuzzy set, Mapping, Preserving.
AMS Classification: 03E72.
References:
  1. Atanassov, K. (1983). Intuitionistic fuzzy sets. VII ITKR Session, Sofia 20–23 June, 1983 (Central Sci. and Techn. Library, Bulg. Academy of Sciences, 1984). (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6 (in English).
  2. Atanassov, K. (1986). Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
  3. Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory, Springer-Verlag Berlin Heidelberg.
  4. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
  5. Szmidt, E. (2014). Distances and Similarities in Intuitionistic Fuzzy Sets. Springer, Heidelberg.
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