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Issue:On probabilities on IF-sets and MV-algebras

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Title of paper: On probabilities on IF-sets and MV-algebras
Petra Mazureková
Faculty of Natural Sciences, Matej Bel University, Department of Mathematics, Tajovskeho 40 974 01 Banska Bystrica, Slovakia
Presented at: 11th ICIFS, Sofia, Bulgaria, 28-30 April 2007
Published in: Conference proceedings, "Notes on IFS", Volume 13 (2007) Number 2, pages 36—38
Download:  PDF (1090  Kb, Info)
Abstract: A new proof is presented for the general form of probability on the generated MV-algebras by the help of the representation theorem for probabilities of the family of IF-events generating the MV-algebra.
Keywords: IF-sets, MV-algebras, probability.
  1. Atanassov, K.: Intuitionistic Fuzzy Sets: Theory and Applications. Physica Verlag, New York 1999.
  2. Mazurekova, P.: An embedding of IF-sets to MV-algebras. J. Electrical Engineering, submitted.
  3. Riecan, B.: On a problem of Radko Mesiar: general form of IF-probabilities. Fuzzy Sets and Systems 157, 2006, 1485 - 1490.

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