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Conditional independence in probability theory on MV-algebras

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Abstract

Conditional independence relation of observables on an MV-algebra with product is formulated and basic properties are proven. An analogy with a classical definition of conditional independence of random variables is discussed and the MV-algebraic concept of conditioning is further explored.

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  1. T. Kroupa

    Present address: Faculty of Electrical Engineering, Czech Technical University, Technická 2, 166 27, Praha 6 - Dejvice, Czech Republic

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  1. Institute of Information Theory and Automation, Czech Academy of Sciences, Pod vodárenskou věží 4, 182 08 Praha 8, Czech Republic

    T. Kroupa

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  1. T. Kroupa
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Correspondence to T. Kroupa.

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Kroupa, T. Conditional independence in probability theory on MV-algebras. Soft Computing 8, 534–538 (2004). https://doi.org/10.1007/s00500-003-0311-1

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  • DOI: https://doi.org/10.1007/s00500-003-0311-1

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