| Title of paper:
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On Zadeh'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@fpv.umb.sk , riecan@mat.savba.sk
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| Krassimir Atanassov
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| 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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7th IWIFS, Banska Bystrica, 27 September 2011
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| Published in:
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"Notes on IFS", Volume 17 (2011) Number 4, pages 1—4
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| Download:
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 PDF (120 Kb, File info)
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| Abstract:
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In the present remark a new operation “subtraction” is introduced on the basis of the intuitionistic fuzzy form of Zadeh’s fuzzy implication and its basic properties are studied.
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| Keywords:
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Intuitionistic fuzzy implication, Zadeh's fuzzy implication.
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| AMS Classification:
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03E72
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| References:
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- K. Atanassov, Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Berlin, 1999.
- Atanassov, K. On some intuitionistic fuzzy implications. Comptes Rendus de l'Academie bulgare des Sciences, Tome 59, 2006, No. 1, 21–26.
- Atanassov, K. On Zadeh's intuitionistic fuzzy disjunction and conjunction. Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 1, 1–4.
- Atanassov, K. Second Zadeh's intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 3 (in press).
- Atanassov, K., D. Dimitrov, Intuitionistic fuzzy implications and axioms for implications. Notes on Intuitionistic Fuzzy Sets, Vol. 16, 2010, No. 1, 10–20.
- Chen, J. and S. Kundu, A sound and complete fuzzy logic system using Zadeh's implication operator. Lecture Notes in Computer Science, Volume 1079, 1996, 233–242.
- Klir, G. and B. Yuan, Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.
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| Citations:
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