| Title of paper:
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Matrix representation of the second type of intuitionistic fuzzy modal operators
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| Author(s):
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| Gökhan Çuvalcioğlu
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| Department of Mathematics, University of Mersin, Mersin, Turkey
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| gcuvalcioglu@gmail.com
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| Sinem Yılmaz
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| Department of Mathematics, University of Mersin, Mersin, Turkey
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| sinemnyilmaz@gmail.com
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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, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
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| krat@bas.bg
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 20 (2014), Number 5, pages 9–16
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| Download:
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 PDF (164 Kb, File info)
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| Abstract:
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Intuitionistic Fuzzy Modal Operator was defined in 1999, then these operators were generalized [7]. After these studies, some authors defined modal operators which are called one type and two type modal operators on Intuitionistic Fuzzy Sets. In this study, we will examine Intuitionistic Fuzzy Operators with matrices and we will examine algebraic structures of them.
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| Keywords:
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Intuitionistic fuzzy sets, Intuitionistic fuzzy modal operators.
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| AMS Classification:
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Primary: 05C38, 15A15; Secondary: 05A15, 15A18.
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| References:
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- Atanassov, K., Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, June 1983 (Deposed in Central Sci.-Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulgarian).
- Atanassov, K. T., Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999.
- Atanassov, K. T., Remark on Two Operations Over Intuitionistic Fuzzy Sets, Int. J. of Uncertanity, Fuzziness and Knowledge Syst., Vol. 9, 2001, No. 1, 71–75.
- Atanassov, K. T., The most general form of one type of intuitionistic fuzzy modal operators, Notes on Intuitionistic Fuzzy Sets, Vol. 12, 2006, No. 2, 36–38.
- Atanassov, K. T., Some properties of the operators from one type of intuitionistic fuzzy modal operators, Advanced Studies on Contemporary Mathematics, Vol. 15, 2007, No. 1, 13–20.
- Atanassov, K. T., The most general form of one type of intuitionistic fuzzy modal operators, Part 2, Advanced Studies on Contemporary Mathematics, Vol. 14, 2008, No. 1, 27–32.
- Atanassov, K. T., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
- Atanassov, K., Index Matrices: Towards an Augmented Matrix Calculus, Springer, Cham, 2014.
- Çuvalcioğlu, G., Some Properties of [math]\displaystyle{ E_{\alpha,\beta} }[/math] operator, Advanced Studies on Contemporary Mathematics, Vol. 14, 2007, No. 2, 305–310.
- Çuvalcioğlu, G., On the Diagram of One Type Modal Operators on Intuitionistic Fuzzy Sets: Last Expanding with [math]\displaystyle{ Z^{\omega, \theta}_{\alpha,\beta} }[/math] Iranian J. of Fuzzy Systems, Vol. 10, 2013, No. 1, 89–106.
- Çuvalcioğlu, G., The extension of modal operators' diagram with last operators, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 3, 56–61.
- Dencheva, K., Extension of intuitionistic fuzzy modal operators ⊞ and ⊠, Proc. of the Second Int. IEEE Symp. Intelligent Systems, Varna, June 22-24 2004, Vol. 3, 21–22.
- Doycheva, B., Inequalities with intuitionistic fuzzy topological and Gokhan Çuvalcioğlu's operators, Advanced Studies on Contemporary Mathematics, Vol. 14, 2008, No. 1, 20–22.
- Zadeh, L. A., Fuzzy Sets, Information and Control, Vol. 8, 1965, 338–353.
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