Issue:A remark on the operations "+" and ":" between intuitionistic fuzzy pairs

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Title of paper: A remark on the operations "+" and "." between intuitionistic fuzzy pairs
Author(s):
Peter Vassilev
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia–1113, Bulgaria
peter.vassilevAt sign.pnggmail.com
Simeon Ribagin
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia–1113, Bulgaria
sim_ribaginAt sign.pngmail.bg
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 1, pages 1–7
DOI: https://doi.org/10.7546/nifs.2020.26.1.1-7
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Abstract: In this paper we investigate the operations "+" and "." defined for intuitionistic fuzzy sets, and, hence, for intuitionstic fuzzy pairs. We provide an alternative point of view regarding its definition which renders some of its properties evident. We also discuss the class of intuitionistic pairs obtainable from a fixed intuitionistic fuzzy pair via the operation "+" or the

operation ".".

Keywords: Intuitionistic fuzzy pair, Operations over intuitionistic fuzzy sets.
AMS Classification: 03E72.
References:
  1. Atanassov, K, Szmidt, E. & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19 (3), 1–13.
  2. Atanassov K. T. (1983). Intuitionistic Fuzzy Sets, VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: (2016) Int. J. Bioautomation, 20(S1), S1-S6 (in English).
  3. Atanassov, K. (1999) Intuitionistic Fuzzy Sets. Springer, Heidelberg.
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