Issue:Φ–entropy of IF-partitions - Revision history

Vassia Atanassova: Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

2024-08-29T09:11:19Z

Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

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	\| issue = [[Notes on Intuitionistic Fuzzy Sets/23/3\|"Notes on ~~IFS~~", Volume 23, 2017, Number 3]], pages 9—16		\| issue = [[Notes on Intuitionistic Fuzzy Sets/23/3\|"Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 3]], pages 9—16
	\| file = NIFS-23-3-09-16.pdf		\| file = NIFS-23-3-09-16.pdf
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Peter Vassilev at 08:41, 6 September 2017

2017-09-06T08:41:49Z

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	# Ellerman, D. (2013) An introduction to logical entropy and its relation to Shannon entropy. Int. J. Seman. Comput., 7, 121–145.		# Ellerman, D. (2013) An introduction to logical entropy and its relation to Shannon entropy. Int. J. Seman. Comput., 7, 121–145.
	# Gray, R. M. (2009) Entropy and Information Theory. Springer: Berlin/Heidelberg, Germany.		# Gray, R. M. (2009) Entropy and Information Theory. Springer: Berlin/Heidelberg, Germany.
	# Kolmogorov, A. N. (1958) New metric invariant of transitive dynamical systems and		# Kolmogorov, A. N. (1958) New metric invariant of transitive dynamical systems and automorphisms of Lebesgue spaces. Dokl. Russ. Acad. Sci., 119, 861–864.
	automorphisms of Lebesgue spaces. Dokl. Russ. Acad. Sci., 119, 861–864.
	# Markechová, D. (1992) The entropy of fuzzy dynamical systems and generators. Fuzzy Sets Syst., 48, 351–363.		# 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) Entropy of Fuzzy Partitions and Entropy of Fuzzy Dynamical Systems. Entropy, 18 (19), doi:10.3390/e18010019.

Peter Vassilev: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

2017-09-05T15:25:52Z

Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
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{{lowercase title}}
{{issue/title
| title = φ–entropy of IF-partitions
| shortcut = nifs/23/3/09-16
}}
{{issue/author
| author = Beloslav Riečan
| institution = Faculty of Natural Sciences, Matej Bel University
| address = Tajovského 40, SK-974 01 Banská Bystrica
| institution-2 = Mathematical Institute of Slovak Acad. of Sciences
| address-2 = Štefánikova 49, SK-814 73 Bratislava, Slovakia
| email-before-at = beloslav.riecan
| email-after-at = umb.sk
}}
{{issue/author
| author = Dagmar Markechová
| institution = Department of Mathematics, Faculty of Natural Sciences, Constantine the Philosopher University in Nitra
| address = A. Hlinku 1, SK-949 01 Nitra, Slovakia
| email-before-at = dmarkechova
| email-after-at = ukf.sk
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/23/3|"Notes on IFS", Volume 23, 2017, Number 3]], pages 9—16
| file = NIFS-23-3-09-16.pdf
| format = PDF
| size = 157 Kb
| abstract = 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]).
| keywords = Intuitionistic fuzzy set, IF-partition, Shannon’s entropy, Logical entropy, Subadditive generator.
| ams = 03E72
| references =
# 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.
# Ebrahimzadeh, A. (2016) Logical entropy of quantum dynamical systems. Open Physics, 14, 1–5.
# Ellerman, D. (2013) An introduction to logical entropy and its relation to Shannon entropy. Int. J. Seman. Comput., 7, 121–145.
# Gray, R. M. (2009) Entropy and Information Theory. Springer: Berlin/Heidelberg, Germany.
# Kolmogorov, A. N. (1958) New metric invariant of transitive dynamical systems and
automorphisms of Lebesgue spaces. Dokl. Russ. Acad. Sci., 119, 861–864.
# 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.
# Markechová, D., & Riečan, B. Logical Entropy and Logical Mutual Information of Experiments in the Intuitionistic Fuzzy Case. Entropy (under review).
# Mesiar, R., & Rybárik, J. (1998) Entropy of Fuzzy Partitions – A General Model. Fuzzy Sets Syst., 99, 73–79.
# 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.
# Shannon, C. E. (1948) Mathematical theory of communication. Bell Syst. Tech. J., 27, 379–423.
# Sinai, Y. G. (1990) Ergodic theory with applications to dynamical systems and statistical mechanics. Springer, Berlin.
# Szmidt, E., & Kacprzyk, J. (2001) Entropy of intuitionistic fuzzy sets. Fuzzy Sets Syst., 118, 467–477.

| citations =
| see-also =
}}