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Issue:On the probability on IF-sets and MV-algebras

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Title of paper: On the probability on IF-sets and MV-algebras
Author(s):
Beloslav Riečan
Faculty of Natural Sciences, Matej Bel University, Department of Mathematics, Tajovskeho 40, 974 01 Banska Bystrica, SLOVAKIA
Mathematical Institute of Slovak Acad. of Sciences, Stefanikova 49, SK-81473 Bratislava, SLOVAKIA
riecan@mat.savba.skriecan@fpv.umb.sk
Presented at: 1st International Workshop on Intuitionistic Fuzzy Sets, 22 September 2005, Banská Bystrica, Slovakia
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 11 (2005), Number 6, pp. 21-25
Download:  PDF (2263  Kb, File info)
Abstract: Starting with a family F of IF-events we present a simple construction of an MV-algebra M such that F can be embedded to M. Moreover, there is a one-to-one correspondence between probabilities on F and M.
Keywords: IF-sets, outer measure, measurable element.
References:
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  2. Cignoli, L. O., D'Ottaviano, M. L., Mundici, D.: Algebraic Foundations of Many-valued reasoning. Kluwer Academic Publishers, Dordrecht 2000.
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  11. Riecan, B. - Mundici, D.: Probability on MV-algebras. In: Handbook on Measure Theory (E.Pap ed.), Elsevier, Amsterdam 2002.
  12. Riecan, B. - Neubrunn, T.: Integral, Measure, and Ordering. Kluwer, Dordrecht 1997.
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