| Title of paper:
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On Łukasiewicz's intuitionistic fuzzy subtraction
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| Author(s):
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| Beloslav Riečan
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Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
Mathematical Institute of Slovak Acad. of Sciences, Štefánikova 49, SK-81473 Bratislava
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| riecan@mat.savba.sk , riecan@fpv.umb.sk
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| Krassimir Atanassov
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| Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
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| krat@bas.bg
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| Presented at:
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15th ICIFS, Burgas, 11-12 May 2011
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 17 (2011) Number 2, pages 65—67
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| Download:
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 PDF (118 Kb, File info)
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| Abstract:
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On the basis of Łukasiewicz’s intuitionistic fuzzy implication, the new operation named Łukasiewicz’s intuitionistic fuzzy subtraction has been defined, and its basic properties have been investigated.
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| Keywords:
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Intuitionistic fuzzy implication, Intuitionistic fuzzy subtraction.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K. Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Berlin, 1999.
- Atanassov, K., B. Riecan. On two operations over intuitionistic fuzzy sets. Journal of Applied Mathematics, Statistics and Informatics, Vol. 2, 2006, No. 2, 145–148.
- Atanassov, K. On some intuitionistic fuzzy implication. Comptes Rendus de l’Academie bulgare des Sciences, Tome 59, 2006, No. 1, 21–26.
- Atanassov, K., D. Dimitrov, Intuitionistic fuzzy implications and axioms for implications. Notes on Intuitionistic Fuzzy Sets, Vol. 16, 2010, No. 1, 10–20.
- Klir, G. and Bo Yuan, Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.
- Riecan, B. and K. Atanassov. A set-theoretical operation over intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, Vol. 12, 2006, No. 2, 24–25.
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| Citations:
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