| Title of paper:
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On interval-valued intuitionistic fuzzy modal operators
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| Author(s):
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| Krassimir Atanassov
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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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| krat@bas.bg
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 1, pages 1–12
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| Download:
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 PDF (174 Kb Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Interval-valued intuitionistic fuzzy set, Interval-valued intuitionistic fuzzy operator.
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| AMS Classification:
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03E72
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| References:
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- 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.
- Angelova, N., & Stoenchev, M. (2017) Intuitionistic fuzzy conjunctions and disjunctions from third type. Notes on Intuitionistic Fuzzy Sets, 23(5), 29–41.
- 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.
- Atanassov K. (1994) Operators over interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64(2), 159–174.
- Atanassov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heidelberg.
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- Atanassov, K. (2017) New intuitionistic fuzzy extended modal operators. Notes on Intuitionistic Fuzzy Sets, 23(4), 40–45.
- Atanassov, K. (2018) Two intuitionistic fuzzy modallevel operators. In:- Advances in Fuzzy Logic and technology 2017, Springer, Cham, Vol. 1, 85–98.
- Atanassov, K., & Gargov, G. (1989) Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31(3), 343–349.
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| Citations:
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