Issue:Conditional probability on the Kôpka D-posets

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Title of paper: Conditional probability on the Kôpka D-posets Author(s): Ivana Hollá Faculty of Natural Science, Matej Bel University, Department of Mathematics, Tajovského 40, 974 01 Banská Bystrica holla@fpv.umb.sk Karol Samuelčík Faculty of Natural Science, Matej Bel University, Department of Mathematics, Tajovského 40, 974 01 Banská Bystrica karolsamuelcik@centrum.sk Presented at: 6th IWIFS, Banska Bystrica, 11 October 2010 Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 16 (2010) Number 4, pages 17—25 Download:  PDF (202  Kb, File info) Abstract: The conditional probability on the Kôpka D-poset is studied. The notions Kôpka D-poset and conditional probability is introduced. The basic properties of conditional probability on the Kôpka D-posets is proved. Keywords: Kôpka D-posets, Conditional probability References: Atanassov,K.: Intuitionistic Fuzzy Sets: Theory and Applications. Physice Verlag, Heidelberg, 1999. Ciungu,L.- Riečan,B.: General form of probability on IF-sets. Information Science (submitted). Čunderlíková,K. - Riečan,B.: Intuistionistic Fuzzy probability theory. Edited volume on Intuistionistic Fuzzy Sets: recent Advances of the series Studies on Fuzziness and Soft Compating. Springer, Heidelberg 2008. Dvurečenskij,A.-Pulmannová,S.: New Trends in Quantum Structures. Kluwer,Dordrecht 2000. Foulis,D.J.-Benett,M.K.: Effect algebras and unsharp quantum logics. Found.Phys. 24, 1994, 1325-1346. Gudder,S.-Greechie,R.: Sequential products on effect algebras. Rep.Math.Phys 49, 2002, 87-111. Kôpka,F.: D-posets with mett function. Advances in Electrical and Electronic Engineering 3, 2004, 34-36. Kôpka,F.: Quasi product on Boolean D-posets. Int.J. Theore. Phys. 47, 2008, 26-35. Kôpka,F.- Chovanec,F.: D-posets. Math.Slovaca 44, 1994, 21-34. Lašová, L - Riečan,B.: Convergence of observables in D-posets. EXIT, Warsaw 2009. Riečan,B.- Lašová, L: On the probability theory on the Kôpka D-poset. Notes on IFS, 15,4, 2009. Montagna,F.: An algebraic approach to propositional fuzzy logic. J.Logic Lang, Inf 9, 2000, 91-124. Riečan, B.: Probability theory on IF events. In: Aguzzoli,S., Ciabattoni,A., Gerla,B., Manara,C., Marra,V. (eds) ManyVal 2006. LNCS, vol. 4460, Springer, Heidelberg (2007). Riečan,B.: On the product MV-algebras. Tatra Mt.Math. Publ. 16, 1999, 143-149. Riečan,B.- Mundici,D.: Probability on MV-algebras. In: Handbook of Measure Theory (E. Pap. ed.), Elsevier Science, Amsterdam 2002. Riečan,B.- Neubrunn,T.: Integral, Measure, and Ordering. Kluwer, Dordrecht 1997. Hollá,I.- Samuelčík,K.: Central limit theorem on the Kôpka D-posets. Fuzzy sets and systems (subbmited). 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.