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Kybernetika 42(2):129-142, 2006.

Conditional States and Joint Distributions on MV-Algebras

Martin Kalina and Oľga Nánásiová


Abstract:

In this paper we construct conditional states on semi-simple MV-algebras. We show that these conditional states are not given uniquely. By using them we construct the joint probability distributions and discuss the properties of these distributions. We show that the independence is not symmetric.


Keywords: semi-simple MV-algebra; conditional distribution; joint distribution;


AMS: 06D35; 28E10; 60B99;


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BIB TeX

@article{kyb:2006:2:129-142,

author = {Kalina, Martin and N\'{a}n\'{a}siov\'{a}, O\v{l}ga},

title = {Conditional States and Joint Distributions on MV-Algebras},

journal = {Kybernetika},

volume = {42},

year = {2006},

number = {2},

pages = {129-142}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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