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Issue:Intuitionistic fuzzy modal operators of second type over interval-valued intuitionistic fuzzy sets. Part 1

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Title of paper: Intuitionistic fuzzy modal operators of second type over interval-valued intuitionistic fuzzy sets. Part 1
Author(s):
Krassimir Atanassov
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
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria
krat@bas.bg
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 2, pages 8–17
DOI: https://doi.org/10.7546/nifs.2018.24.2.8-17
Download:  PDF (174 Kb  Kb, File info)
Abstract: The basic definitions of the concept of interval-valued intuitionistic fuzzy set and of the operations, relations and operators over it are given. Some of its most important applications are described. Ideas for future development of the theory of interval-valued intuitionistic fuzzy sets are proposed.
Keywords: Interval-valued intuitionistic fuzzy set, Intuitionistic fuzzy modal operators.
AMS Classification: 03E72
References:
  1. Atanassov, K. (1999) Intuitionistic Fuzzy Sets. Springer, Heidelberg.
  2. Atanassov, K. (2012) On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
  3. Atanassov, K. (2018) On interval-valued intuitionistic fuzzy modal operators. Notes on Intuitionistic Fuzzy Sets, 24(1), 1–12.
  4. Atanassov, K. & Gargov, G. (1989) Interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 31(3), 343–349.
  5. Cuvalcioglu, G. (2007) Some properties of Eα,β operator. Advanced Studies in Contemporary Mathematics, 14(2), 305–310.
  6. Cuvalcioglu, G (2010) Expand the model operator diagram with Z! �:�. Proceedings of the Jangjeon Math. Society, 13(3), 403–412.
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