16-17 May 2019 • Sofia, Bulgaria

Submission: 1 February 2019 • Notification: 1 March 2019 • Final Version: 1 April 2019

Issue:On interval-valued intuitionistic fuzzy modal operators

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Title of paper: On interval-valued intuitionistic fuzzy modal operators
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
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Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 1, pages 1–12
DOI: https://doi.org/10.7546/nifs.2018.24.1.1-12
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Abstract: An survey of the existing interval-valued intuitionistic fuzzy modal operators is given. Eight new operators are introduced that extend the older ones. Some of their basic properties are discussed. Open problems are formulated.
Keywords: Interval-valued intuitionistic fuzzy set, Interval-valued intuitionistic fuzzy operator.
AMS Classification: 03E72
References:
  1. Angelova, N., & Stoenchev, M. (2016) Intuitionistic fuzzy conjunctions and disjunctions from first type. Annual of Informatics Section, Union of Scientists in Bulgaria, 8, 2015- 2016, 1–17.
  2. Angelova, N., & Stoenchev, M. (2017) Intuitionistic fuzzy conjunctions and disjunctions from third type. Notes on Intuitionistic Fuzzy Sets, 23(5), 29–41.
  3. Atanassov K. T. (1988) Review and New Results on Intuitionistic Fuzzy Sets, Mathematical Foundations of Artificial Intelligence Seminar, Sofia, 1988, Preprint IM-MFAIS-1-88. Reprinted: Int. J. Bioautomation, 2016, 20(S1), S7–S16.
  4. Atanassov K. (1994) Operators over interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64(2), 159–174.
  5. Atanassov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heidelberg.
  6. Atanassov, K. (2012) On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
  7. Atanassov, K. (2017) Intuitionistic Fuzzy Logics. Springer, Cham.
  8. Atanassov, K. (2017) New intuitionistic fuzzy extended modal operators. Notes on Intuitionistic Fuzzy Sets, 23(4), 40–45.
  9. Atanassov, K. (2018) Two intuitionistic fuzzy modallevel operators. In:- Advances in Fuzzy Logic and technology 2017, Springer, Cham, Vol. 1, 85–98.
  10. Atanassov, K., & Gargov, G. (1989) Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31(3), 343–349.
  11. Kaufmann, A. (1977) Introduction a la Theorie des Sour-Ensembles Flous, Paris, Masson.
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