| Title of paper:
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Relations between some IF modal operators and IF negations
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| Author(s):
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| Sinem Tarsuslu
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| Faculty of Arts and Sciences Department of Mathematics, Mersin University, Mersin, Turkey
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| sinemnyilmaz@gmail.com
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| Gökhan Çuvalcioğlu
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| Faculty of Arts and Sciences Department of Mathematics, Mersin University, Mersin, Turkey
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| gcuvalcioglu@gmail.com
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| Yelda Yorulmaz
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| Faculty of Arts and Sciences Department of Mathematics, Mersin University, Mersin, Turkey
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| yeldayorulmaz@gmail.com
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| Published in:
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"Notes on IFS", Volume 23, 2017, Number 4, pages 31—39
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| Download:
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 PDF (176 Kb Kb, File info)
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| Abstract:
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There have been many studies about intuitionistic fuzzy modal operators and intuitionistic fuzzy negations. The relation between some intuitionistic fuzzy modal operators and negations were firstly examined by Hinde and Atanassov [9]. New properties about intuitionistic fuzzy negations &neg;1, &neg;4, &neg;8, &neg;20, &neg;25, &neg;ε with some intuitionistic fuzzy one type, second type and
uni-type modal operators are studied.
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| Keywords:
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Intuitionistic fuzzy sets, Intuitionistic fuzzy modal operators, Intuitionistic fuzzy negations.
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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, June 20-23, (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
- Atanassov, K. T. (1999) Intuitionistic fuzzy sets, Springer Physica-Verlag, Heidelberg.
- Atanassov, K. T. (2012) On intuitionistic fuzzy sets theory, Springer, Heidelberg.
- Atanassova, V., & Doukovska, L. (2017) Compass-and-straightedge constructions in the intuitionistic fuzzy interpretational triangle: two new intuitionistic fuzzy modal operators, Notes on IFS, 23(2), 1–7.
- Çuvalcioğlu, G. (2007) Some Properties of Eα,β operator, Advanced Studies on Contemporary Mathematics, 14(2), 305–310.
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- Hinde, C., & Atanassov, K. T. (2007) Intuitionistic fuzzy negations and intuitionistic fuzzy modal operators. Notes on IFS, 13(4), 41–44.
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- Yılmaz, S., & Çuvalcioğlu, G., Intuitionistic fuzzy modal operators: Sα,β and Tα,β. 28th National Mathematical Symposium, Antalya, 07-09 September 2015.
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