| Title of paper:
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Operation “concatenation” over intuitionistic fuzzy index matrices
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| Author(s):
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| Anthony Shannon
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| Resident Fellow, Warrane College, The University of New South Wales, Kensington NSW, Australia
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| t.shannon@warrane.unsw.edu.au
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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
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas–8000, Bulgaria
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| krat@bas.bg
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| Presented at:
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20th International Conference on Intuitionistic Fuzzy Sets, 2–3 September 2016, Sofia, Bulgaria
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 3, pages 106—111
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| Download:
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 PDF (127 Kb, File info)
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| Abstract:
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In this paper, a new operation, concatenation, denoted by  , is introduced over extended intuitionistic fuzzy index matrices and over intuitionistic fuzzy index matrices. Some of its properties are discussed.
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| Keywords:
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Implication, Intuitionistic fuzzy logic, Intuitionistic logic, Negation.
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| AMS Classification:
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03E72, 11C20.
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| References:
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- Atanassov, K. (1987) Generalized index matrices, Comptes rendus de l’Academie Bulgare des Sciences, 40(11), 15–18.
- Atanassov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heidelberg.
- Atanassov, K. (2010) On index matrices. Part 1: Standard cases. Advanced Studies in Contemporary Mathematics, 20(2), 291–302.
- Atanassov, K. (2010) On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society, 13(2), 121–126.
- Atanassov, K. (2012) On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
- Atanassov, K. (2013) On extended intuitionistic fuzzy index matrices, Notes on Intuitionistic Fuzzy Sets, 19(4), 27–41.
- Atanassov, K. (2014) Index Matrices: Towards an Augmented Matrix Calculus, Springer, Cham.
- Atanassov, K. (2014) A new operation over index matrices. Annual of “Informatics” Section, Union of Scientists in Bulgaria, 7, 60–64.
- Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013) On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
- Shannon, A.& Atanassov, K. (1994) A first step to a theory of the intuitionistic fuzzy graphs, Proc. of the First Workshop on Fuzzy Based Expert Systems (D. Lakov, Ed.), Sofia, 28–30 Sept. 1994, 59–61.
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