Issue:Entropy on IF-events

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Title of paper: Entropy on IF-events Author(s): Marek Ďurica Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica durica@fpv.umb.sk Presented at: 3rd International Workshop on Intuitionistic Fuzzy Sets, 3 October 2007, Banská Bystrica, Slovakia. Published in: Notes on Intuitionistic Fuzzy Sets, Volume 13, Number 4, pages 30—40 Download:  PDF (288  Kb, File info) Abstract: In this paper we study dynamical systems based on IF-sets. We show that the notion of Kolmogorov-Sinaj entropy can be extended on this systems. Keywords: Intuitionistic fuzzy sets, Intuitionistic fuzzy partitions, Intuitionistic fuzzy dynamical systems, Intuitionistic fuzzy entropy References: Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. In Physica Verlag, New York. Di Nola A., Dvurecenskij A., Hycko M., Manara C. (2005), Entropy on effect algebras with the Riesz decomposition property I: Basic properties, Kybernetika 41, 143 - 160. Di Nola A., Dvurecenskij A., Hycko M., Manara C. (2005), Entropy on effect algebras with the Riesz decomposition property II: MV - algebras, Kybernetika 41, 161 - 176. Grzegorzewski P., Mrowka E. (2002), Probability of intuitionistic fuzzy events, Soft Methods in Probability, Statistics and Data Analysis, Physica Verlag, New York, 105 - 115. Renčová, M. (2005), On the probability - preserving maps on the Lukasiewicz square. Proceedings of the Fifth International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, Warsaw, Poland, 322-327. Riecan B. (2003), A descriptive definition of the probability on intuitionistic fuzzy sets, Proc. EUSFLAT’2003, Zittau - Goerlitz Univ. Appl. Sci., 263 - 266. Riecan, B. (2005), On the entropy of IF dynamical systems. Proceedings of the Fifth International workshop on IFS and Generalized Nets, Warsaw, Poland, 328-336. Riecan B. (2004), Representation of probabilities on IFS events, Advances in Soft Computing, Soft Methodology and Random Information Systems, Springer, Berlin, 243 - 246. Riecan B., Mundici, D. (2002), Probability on MV - algebras, Handbook of Measure Theory, Elsevier, Amsterdam, 869 - 909. Riecan B., Neubrunn T. (1997), Integral, Measure, and Ordering, Kluwer, Dordrecht, and Ister Science, Bratislava. Szmidt E., Kacprzyk J. (1999), Probability of intuitionistic fuzzy events and their applications in decision making, Proc. of EUSFLAT’99, Palma de Mallorca, 1999, 457 - 460. Szmidt E., Kacprzyk J. (1999), A concept of probability of an intuitionistic fuzzy event, Proc. FUZZ-IEEE’99, Seul, Korea 1999, III 1346 - 1349. Citations: Issue:IF-generators ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.