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Issue:On the Łukasiewicz operations over intuitionistic fuzzy sets

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Title of paper: On the Łukasiewicz operations over intuitionistic fuzzy sets
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
beloslav.riecan@umb.sk
Štefan Tkáčik
Department of Mathematics, Pedagogical Faculty, Catholic University, Hrabovská cesta 1, 034 01 Ružomberok, Slovakia
stefan.tkacik@ku.sk
Published in: "Notes on IFS", Volume 20, 2014, Number 4, pages 14–18
Download: Download-icon.png PDF (141  Kb, Info)
Abstract: 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.
Keywords: Conjunction, Disjunction, Intuitionistic fuzzy set.
AMS Classification: 03E72
References:
  1. Atanassov, K., Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999.
  2. Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
  3. 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.
  4. Frič, R., M. Papčo M, On probability domains III. Internat. J. Theoret. Phys. (submitted)
  5. Mundici, D., Interpretation of AFC*-algebras in Łukasiewicz sentential calculus, J. Funct. Anal., Vol. 65, 1986, 15–63.
  6. 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.
  7. Riečan, B., Analysis of Fuzzy Logic Models. In: Intelligent Systems (V. M. Koleshko ed.), INTECH 2012, 219–240.
  8. 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.
  9. 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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