| Title of paper:
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φ–entropy of IF-partitions
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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-814 73 Bratislava, Slovakia
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| beloslav.riecan@umb.sk
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| Dagmar Markechová
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| Department of Mathematics, Faculty of Natural Sciences, Constantine the Philosopher University in Nitra, A. Hlinku 1, SK-949 01 Nitra, Slovakia
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| dmarkechova@ukf.sk
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 3, pages 9—16
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| Download:
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 PDF (157 Kb Kb, File info)
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| Abstract:
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In the paper a common formulation is given for two types of entropy of partitions in the intuitionistic fuzzy case: the Shannon-Kolmogorov-Sinai entropy ([6]) and the logical entropy ([4]).
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| Keywords:
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Intuitionistic fuzzy set, IF-partition, Shannon’s entropy, Logical entropy, Subadditive generator.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications. Physic Verlag, Heidelberg,.
- Ďurica, M. (2007) Entropy on IF events. Notes on Intuitionistic Fuzzy Sets, 13(4), 30–40.
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- Markechová, D. (1992) The entropy of fuzzy dynamical systems and generators. Fuzzy Sets Syst., 48, 351–363.
- Markechová, D., & Riečan, B. (2016) Entropy of Fuzzy Partitions and Entropy of Fuzzy Dynamical Systems. Entropy, 18 (19), doi:10.3390/e18010019.
- Markechová, D., & Riečan, B. (2016) Logical Entropy of Fuzzy Dynamical Systems. Entropy, Vol. 18 (157), doi: 10.3390/e18040157.
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- Riečan, B. (2015) On finitely additive IF-states. Proceedings of the 7th IEEE International Conference Intelligent Systems IS’2014, Warsaw, Poland, 24-26 September 2014; Volume 1: Mathematical Foundations, Theory, Analysis (P. Angelov et al. eds.), Springer, Switzerland; 149–156.
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- Szmidt, E., & Kacprzyk, J. (2001) Entropy of intuitionistic fuzzy sets. Fuzzy Sets Syst., 118, 467–477.
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