Issue:IF-generators

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http://ifigenia.org/wiki/issue:nifs/23/5/42-50

Title of paper: IF-generators Author(s): Marek Ďurica Faculty of Operation and Economics of Transport and Communications, University of Zilina, Univerzitna 1, 03601 Zilina, Slovakia marek.durica@fpedas.uniza.sk Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 5, pages 42—50 Download:  PDF (182 Kb  Kb, File info) Abstract: In the paper we study the notion of the entropy of dynamical systems based on IF-events (Kolmogorov–Sinaj type). We define the notion of the IF-generator and we study some relationships between this notions. We show some possibility how to calculate this entropy. Keywords: IF-generator, IF-event, IF-partition, Entropy, IF-dynamical system. AMS Classification: 03E72. References: Atanassov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer-Physica Verlag, Heidelberg. Atanassov. K. (2012) On Intuitionistic Fuzzy Sets Theory, Springer-Verlag, Berlin. Atanassov, K., Vassilev, P., & Tsvetkov, R. (2013) Intuitionistic Fuzzy Sets, Measures and Integrals, “Prof. M. Drinov” Academic Publishing House, Sofia. Ban, A. (2006) Intuitionistic Fuzzy Measures. Theory and Applications, Nova Science Publishers, New York. Ďurica, M. (2007) Entropy on IF-events. Notes on Intuitionistic Fuzzy Sets, 13(4), 30–40. Ďurica, M. (2008) Maličky-Riečan entropy on IF-dynamical systems, Proceedings of 12th International Conference Information Processing and Management of Uncertainty in Knowledge-Based Systems IPMU 2008, 1654–1661. Dvurečenskij, A., & Pulmannov´a, S. (2000) New Trends in Quantum Structures, Kluwer, Dordrecht. Riečan, B. (2006) On a problem of Radko Mesiar: general form of IF-probabilities, Fuzzy sets and systems 157(11), 1485–1490. Riečan, B. (2006) On the entropy of IF dynamical systems, Proceedings of the Fifth International workshop on IFS and Generalized Nets, 328–336. Riečan, B. (1999) On the product MV-algebras, Tatra Mountains Mathematical Publications 16, 143–149. Riečan, B., & Neubrunn, T. (1997) Integral, Measure and Ordering, Kluwer Academic Publishers, Dordrecht and Ister Science, Bratislava. Szmidt, E. (2014) Distances and Similarities in Intuitionistic Fuzzy Sets, Springer International Publishing. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.