| Title of paper:
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Some relationships between new intuitionistic fuzzy modal operators
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| Author(s):
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| Sinem Yılmaz
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| Mersin University Faculty of Arts and Sciences, Department of Mathematics
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| sinemyilmaz@mersin.edu.tr
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| Vassia Atanassova
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| Institute of Biophysics and Biomedical Engineerin, Bulgarian Academy of Sciences, Acad. G. Bonchev str., bl. 105, 1113 Sofia, Bulgaria
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| vassia.atanassova@gmail.com
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| Krassimir Atanassov
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| Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
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| krat@bas.bg
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| Gökhan Çuvalcioğlu
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| Mersin University Faculty of Arts and Sciences, Department of Mathematics
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| gcuvalcioglu@mersin.edu.tr
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| Published in:
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"Notes on IFS", Volume 22, 2016, Number 5, pages 37—42
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| Download:
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 PDF (123 Kb, Info)
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| Abstract:
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The concept of Intuitionistic Fuzzy Sets was introduced in 1983 [1] as an extention of fuzzy sets [7]. Intuitionistic fuzzy modal operators firstly are defined in [1] and new modal operators are defined by different reserchers [3, 4, 5, 6]. Some properties of these operators studied by several authors. In this paper, some relationships between some of the new modal operators are examined.
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| Keywords:
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Intuitionistic fuzzy modal operators, Intuitionistic fuzzy operation, Intuitionistic fuzzy sets.
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| AMS Classification:
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03E72, 47S40.
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| References:
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- Atanassov K.T. (1983) Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, 20–23 June 1983. (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 20 16, 20(S1), S1–S6.
- Atanassov, K.T., On Intuitionistic Fuzzy Sets Theory, Series "Studies in Fuzziness and Soft Computing", Springer, 2012.
- Atanassov, K.T., Çuvalcioğlu, G., & Atanassova V. K. (2014) A new modal operator over intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 20(5), 1–8.
- Çuvalcioğlu, G. (2016) One, two and uni-type operators on IFSs Imprecision and Uncertainty in Information Representation and Processing, Angelov, P., Sotirov, S. (Eds.), Springer International Publishing Switzerland, 55–71.
- Çuvalcioğlu, G. & Yılmaz, S. (2015) On new intuitionistic fuzzy operators: Sα,β and Tα,β Kasmera, 43(2), 317–327.
- Yılmaz, S. & Bal, A. (2014) Extentsion of intuitionistic fuzzy modal operators diagram with new operators, Notes on Intuitionistic Fuzzy Sets, 20(5), 26–35.
- Zadeh, L.A. (1965) Fuzzy Sets, Information and Control, 8, 338–353.
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