| Title of paper:
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On the Łukasiewicz operations over intuitionistic fuzzy sets
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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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| beloslav.riecan@umb.sk
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| Štefan Tkáčik
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| Department of Mathematics, Pedagogical Faculty, Catholic University, Hrabovská cesta 1, 034 01 Ružomberok, Slovakia
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| stefan.tkacik@ku.sk
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 20, 2014, Number 4, pages 14–18
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| Download:
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 PDF (141 Kb, File info)
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| Abstract:
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In [8] some properties of two operations – conjunction and disjunction from Łukasiewicz type – over intuitionistic fuzzy sets were studied. In the paper, a new proof of the results is given an some analogies of the results in MV algebras are given.
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| Keywords:
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Conjunction, Disjunction, Intuitionistic fuzzy set.
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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, Heidelberg, 1999.
- Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
- Atanassov, K., R. Tcvetkov, On Łukasiewicz’s intuitionistic fuzzy disjunction and conjunction, Annual of “Informatics” Section, Union of Scientists in Bulgaria, Vol.3, 2010, 90–94.
- Frič, R., M. Papčo M, On probability domains III. Internat. J. Theoret. Phys. (submitted)
- Mundici, D., Interpretation of AFC*-algebras in Łukasiewicz sentential calculus, J. Funct. Anal., Vol. 65, 1986, 15–63.
- Riečan, B., A descriptive definition of the probability on intuitionistic fuzzy sets. Proc. of the Third Conf. of the European Society for Fuzzy Logic and Technology EUSFLAT’ 2003, Zittau, 10–12 Sept. 2003, 210–213.
- Riečan, B., Analysis of Fuzzy Logic Models. In: Intelligent Systems (V. M. Koleshko ed.), INTECH 2012, 219–240.
- Riečan, B., K. Atanassov, Some properties of operations conjunction and disjunction from Łukasiewicz type over intuitionistic fuzzy sets. Part 1. Notes on Intuitionistic Fuzzy Sets, Vol. 20, 2014, No. 3, 1–5.
- Riečan, B., K. Atanassov, Some properties of operations conjunction and disjunction from Łukasiewicz type over intuitionistic fuzzy sets. Part 2. Notes on Intuitionistic Fuzzy Sets, Vol. 20, 2014, No. 4, 1–6.
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