Issue:On the Poincaré recurrence theorem on IF-sets - Revision history

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

2024-08-29T09:09:33Z

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

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	\| conference = 11<sup>th</sup> [[International Workshop on Intuitionistic Fuzzy Sets]], Banská Bystrica, Slovakia, 30 Oct. 2015		\| conference = 11<sup>th</sup> [[International Workshop on Intuitionistic Fuzzy Sets]], Banská Bystrica, Slovakia, 30 Oct. 2015
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/21/5\|"Notes on ~~IFS~~", Volume 21, 2015, Number 5]], pages 16–19		\| issue = [[Notes on Intuitionistic Fuzzy Sets/21/5\|"Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 5]], pages 16–19
	\| file = NIFS-21-5-16-19.pdf		\| file = NIFS-21-5-16-19.pdf
	\| format = PDF		\| format = PDF

Vassia Atanassova at 10:39, 22 January 2016

2016-01-22T10:39:06Z

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	{{issue/data		{{issue/data
	\| conference =		\| conference = 11<sup>th</sup> [[International Workshop on Intuitionistic Fuzzy Sets]], Banská Bystrica, Slovakia, 30 Oct. 2015
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/21/5\|"Notes on IFS", Volume 21, 2015, Number 5]], pages 16–19		\| issue = [[Notes on Intuitionistic Fuzzy Sets/21/5\|"Notes on IFS", Volume 21, 2015, Number 5]], pages 16–19
	\| file = NIFS-21-5-16-19.pdf		\| file = NIFS-21-5-16-19.pdf

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

2016-01-20T09:03:48Z

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

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2015 year|{{PAGENAME}}]]
{{issue/title
| title = On two formulations of the IF state representation theorem
| shortcut = nifs/21/5/16-19
}}
{{issue/author
| author = Jaroslav Považan
| institution = Faculty of Natural Sciences, Matej Bel University
| address = Tajovského 40, 974 01 Banská Bystrica, Slovakia
| email-before-at = jaroslav.povazan
| email-after-at = umb.sk
}}
{{issue/data
| conference =
| issue = [[Notes on Intuitionistic Fuzzy Sets/21/5|"Notes on IFS", Volume 21, 2015, Number 5]], pages 16–19
| file = NIFS-21-5-16-19.pdf
| format = PDF
| size = 140
| abstract = The Recurrence theorem by Poincaré is one of basic results of the standard ergodic theory. In classical sense the main structure is a σ-algebra of sets and the measure-preserving maps are represented by preimages of classical maps. In this article we change the σ-algebra by a family ℱ of Intuitionistic Fuzzy Sets (IF-sets), which were introduced by Krassimir T. Atanassov, and the probability by an IF-state.
| keywords = recurrence theorem, IF-sets, s-preserving mappings, IF-state.
| ams = 03E72.
| references =
# Atanassov, K.T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications. Springer, Heidelberg.
# Bennett, M. K. & D. J. Foulis (1994) Effect algebras and unsharp quantum logics. Foundations of Physics, 24, 1331–1352.
# Dvurečenskij, A. (1976) On some properties of transformation of a logic. Math. Slovaca, 26, 131–137.
# Chovanec, F. & F. Kôpka (1994) D-posets. Math. Slovaca, 44, 21–34.
# Kôpka, F. (2008) Quasiproduct on Boolean D-posets. Int. J. Theor. Physics, 47, 26–35.
# Maličký, P. (2007) Category version of the Poincaré recurrence theorem. Topology Appl., 154, 2709–2713.
# Mundici, D. (2011) Advanced Lukasiewicz calculus and MV-algebras. Springer, New York.
# Poincaré, H. (1889) Les methodes nouvelles de la mechanique classique celeste, Vol. 3, Gauthiers-Villars, Paris.
# Riečan, B. (2013) Variation on a Poincaré theorem. Fuzzy Sets and Systems, 232, 39–45.
# Riečan, B. & D. Mundici (2002) Probability on MV-algebras. In: Handbook of Measure Theory (E. Pap. ed.), Elsevier Science, Amsterdam, 869– 909.
# Riečan, B. & T. Nebrunn (1997) Integral, Measure, and Ordering. Kluwer, Dordrecht.
| citations =
| see-also =
}}