Soft Methodology and Random Information Systems pp 281-288 | Cite as
The Concept of Non-Symmetric Independence on MV-Algebras
Conference paper
Abstract
In this paper we construct conditional measures on semi-simple MV-algebras. We show that these conditional measures are not given uniquely. By using them we construct the joint probability distributions.
Preview
Unable to display preview. Download preview PDF.
References
- 1.Chang, C.C. (1958). Algebraic analysis of many valued logics. Trans. Amer. Math. Soc. 88, 467–490.Google Scholar
- 2.Chang, C.C. (1959). A new proof of the completeness of the Lukasiewicz axioms. 7hans. Amer. Math. Soc. 93, 74–80.MATHGoogle Scholar
- 3.Chovanec, F. (1993). States and observables on MV-algebras. Tatra Mountains Math. Publ. 3, 55–63.MathSciNetMATHGoogle Scholar
- 4.Jureandkov6., M. and Rieean, B. (1997). Weak law of large numbers for weak observables in MV algebras. Tatra Mountains Math. Publ. 12, 221–228.Google Scholar
- 5.Nhntisiova, O. (2003). Map for simultaneous measurements for a quantum logic. Internat. J Theoret. Phys. 42, 1889–1902.MathSciNetCrossRefGoogle Scholar
- 6.Rieean, B. (1998). On the sum of observables in MV algebras of fuzzy sets. Tatra Mountains Math. Publ. 14, 225–232.Google Scholar
- 7.Rieëan, B. (1998). On the strong law of large numbers for weak observables in MV algebras. Tatra Mountains Math. Publ. 15, 13–21.Google Scholar
- 8.Riečan, B. (1998). Weak observables in MV algebras. Internat. J Theoret. Phys. 37, 183–189.MathSciNetMATHCrossRefGoogle Scholar
- 9.Rieean, B. (1999). On the product MV algebras. Tatra Mountains Math. Publ. 16, 143–149.Google Scholar
- 10.Rieean, B. and Neubrunn, T. (1997). Integral, Measure and Ordering. Kluwer Academic Publishers, Dordrecht, and later Science, Bratislava.Google Scholar
Copyright information
© Springer-Verlag Berlin Heidelberg 2004