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http://ifigenia.org/wiki/issue:nifs/13/2/36-38
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| Title of paper:
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On probabilities on IF-sets and MV-algebras
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| Author(s):
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| Petra Mazureková
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| Faculty of Natural Sciences, Matej Bel University, Department of Mathematics, Tajovskeho 40 974 01 Banska Bystrica, Slovakia
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| Presented at:
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11th ICIFS, Sofia, Bulgaria, 28-30 April 2007
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| Published in:
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Conference proceedings, "Notes on IFS", Volume 13 (2007) Number 2, pages 36—38
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| Download:
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 PDF (1090 Kb, Info)
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| Abstract:
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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.
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| Keywords:
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IF-sets, MV-algebras, probability.
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| References:
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- Atanassov, K.: Intuitionistic Fuzzy Sets: Theory and Applications. Physica Verlag, New York 1999.
- Mazurekova, P.: An embedding of IF-sets to MV-algebras. J. Electrical Engineering, submitted.
- 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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| Citations:
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