Issue:The limit theorems on the interval valued events

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http://ifigenia.org/wiki/issue:nifs/19/2/31-41

Title of paper: The limit theorems on the interval valued events Author(s): Karol Samuelčík Department of Mathematics, Faculty of Humanities, Žilinská univerzita v Žiline, Univerzitná 8215/1, 010 26 Žilina, Slovakia karol.samuelcik@fhv.uniza.sk Ivana Hollá Department of Mathematics, Faculty of Humanities, Žilinská univerzita v Žiline, Univerzitná 8215/1, 010 26 Žilina, Slovakia Presented at: 9th International Workshop on Intuitionistic Fuzzy Sets, 8 October 2013, Banská Bystrica, Slovakia Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 19, 2013, Number 2, pages 31—41 Download:  PDF (124  Kb, File info) Abstract: Interval valued event (IV event) is a pair A=(μA, νA) of fuzzy events such that μ A ≤ ν A. The IV theory is isomorphic to the intuitionistic fuzzy theory. The paper contains a construction of mathematical apparatus and the proofs of some limit theorems in a space of IV events. Keywords: Intuitionistic fuzzy events, Interval valued events; The limit theorems. AMS Classification: 03E72 References: Atanassov, K. Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Physica Verlag, Heidelberg, 1999. Ciungu, L., B. Riečan. General form of probability on IF-sets. Fuzzy Logic and Applications, Proc. of 8th Int. Workshop WILF, Lecture Notes in Artificial Intelligence, 2009, 101–107. Riečan, B., P. Král. Probability on interval valued events. Proc. of the 11th International Workshop on Generalized Nets and the Second International Workshop on Generalized Nets, Intuitionistic Fuzzy Sets and Knowledge Engineering, London 9 July 2010, 66–70. Samuelčík, K.,I. Hollá. Conditional probability on the Kôpka’s D-posets.Acta Mathematica SINICA, English series, Vol. 28, Nov. 2012, No. 11, 2197–2204. Samuelčík, K. The weak law of large numbers in P-probability theory. Afrika Matematika,2011, DOI:10.1007/s13370-011-0032-z. Samuelčík, K., I. Hollá. Central limit theorem on IV sets. Recent Advances in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Volume I: Foundations (K. Atanassov, et al. eds.), 2010, 187–196. 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.