| Title of paper:
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Shrinking operators over interval-valued intuitionistic fuzzy sets
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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, Burgas-8010, Bulgaria
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| krat@bas.bg
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| Eulalia Szmidt
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| Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| szmidt@ibspan.waw.pl
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| Janusz Kacprzyk
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| Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| kacprzyk@ibspan.waw.pl
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 4, pages 20–28
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| DOI:
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https://doi.org/10.7546/nifs.2018.24.4.20-28
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| Download:
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 PDF (197 Kb Kb, Info)
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| Abstract:
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Two new operators over interval-valued intuitionistic fuzzy sets are introduced and their basic properties are studied. The first of them is called shrinking operator and the second one, being an extension of the first one, is called (α,β)-shrinking operator.
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| Keywords:
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Interval-valued intuitionistic fuzzy set, Operator.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K. (1983). Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, June 1983 (Deposed in Central Sci. - Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulg.). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
- Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heldelberg.
- Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
- Atanassov, K., & Gargov, G. (1989). Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31(3), 343–349.
- Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
- Gorzalczany, M. (1989). Interval-valued fuzzy fuzzy inference method – some basic properties. Fuzzy Sets and Systems, 31(2), 243–251.
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