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Issue:On Łukasiewicz's intuitionistic fuzzy subtraction

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Title of paper: On Łukasiewicz's intuitionistic fuzzy subtraction
Author(s):
Beloslav Riečan
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
riecan@mat.savba.skriecan@fpv.umb.sk
Krassimir Atanassov
Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
krat@bas.bg
Presented at: 15th ICIFS, Burgas, 11-12 May 2011
Published in: Conference proceedings, "Notes on IFS", Volume 17 (2011) Number 2, pages 65—67
Download:  PDF (118  Kb, Info)
Abstract: 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.
Keywords: Intuitionistic fuzzy implication, Intuitionistic fuzzy subtraction.
AMS Classification: 03E72
References:
  1. Atanassov, K. Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Berlin, 1999.
  2. 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.
  3. Atanassov, K. On some intuitionistic fuzzy implication. Comptes Rendus de l’Academie bulgare des Sciences, Tome 59, 2006, No. 1, 21–26.
  4. Atanassov, K., D. Dimitrov, Intuitionistic fuzzy implications and axioms for implications. Notes on Intuitionistic Fuzzy Sets, Vol. 16, 2010, No. 1, 10–20.
  5. Klir, G. and Bo Yuan, Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.
  6. 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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