Title of paper:
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Sheet level sets and the representation theorem for intuitionistic fuzzy sets
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Author(s):
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Gökhan Çuvalcıoğlu
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Department of Mathematics, Mersin University, 33016, Mersin Turkey
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gcuvalcioglu@gmail.com
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Sinem (Yılmaz) Tarsuslu
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Department of Mathematics, Mersin University, 33016, Mersin Turkey
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sinemnyilmaz@gmail.com
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Emine Demirbaş
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Department of Mathematics, Mersin University, 33016, Mersin Turkey
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eminesdemirbas@gmail.com
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Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 2, pages 15–19
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DOI:
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https://doi.org/10.7546/nifs.2019.25.2.15-19
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Download:
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PDF (178 Kb, File info)
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Abstract:
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In this study, the representation theorem and a partition for intuitionistic fuzzy sets were given. For those properties, intuitionistic fuzzy sheet t-level set, intuitionistic fuzzy α-t block level set and intuitionistic fuzzy t-subset were used.
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Keywords:
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Intuitionistic Fuzzy sets, Sheet t-level, IFS α-t block level, Intuitionistic Fuzzy t-Subset, Representation theorem
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AMS Classification:
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03E72, 03E99
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References:
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- Atanassov K. T. (1983). Intuitionistic Fuzzy Sets, VII ITKR's Session, Sofia, June 1983 (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: Theory and Applications, Heidelberg, Springer.
- Çuvalcıoğlu, G., & Yılmaz, S. (2014). Some properties of intuitionistic fuzzy equivalence relations and class trees w.r.t. intuitionistic fuzzy equivalence relations, Adv. Studies Contemp. Math., 24 (4), 77–86.
- Çuvalcıoğlu, G. & Tarsuslu (Yılmaz), S. The block and sheet levels of intuitionistic fuzzy sets, Journal of Universal Mathematics, (under review).
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