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Issue:Sheet level sets and the representation theorem for intuitionistic fuzzy sets

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Title of paper: Sheet level sets and the representation theorem for intuitionistic fuzzy sets
Author(s):
Gökhan Çuvalcıoğlu
Department of Mathematics, Mersin University, 33016, Mersin Turkey
gcuvalcioglu@gmail.com
Sinem (Yılmaz) Tarsuslu
Department of Mathematics, Mersin University, 33016, Mersin Turkey
sinemnyilmaz@gmail.com
Emine Demirbaş
Department of Mathematics, Mersin University, 33016, Mersin Turkey
eminesdemirbas@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 2, pages 15–19
DOI: https://doi.org/10.7546/nifs.2019.25.2.15-19
Download:  PDF (178  Kb, File info)
Abstract: 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.
Keywords: Intuitionistic Fuzzy sets, Sheet t-level, IFS α-t block level, Intuitionistic Fuzzy t-Subset, Representation theorem
AMS Classification: 03E72, 03E99
References:
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  2. Atanassov K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Heidelberg, Springer.
  3. 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.
  4. Çuvalcıoğlu, G. & Tarsuslu (Yılmaz), S. The block and sheet levels of intuitionistic fuzzy sets, Journal of Universal Mathematics, (under review).
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