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A note on observables on MV-algebras

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Abstract

 A criterion when a subset of an MV-algebra is contained in the range of a (finitely additive) observable is given. It is used to prove that every at most countable subset of any MV-algebra is contained in the range of an observable. A much stronger result holds for any bold fuzzy algebra [0,1]S, which is whole contained in the range of a (σ-additive) observable.

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  1. Mathematical Institute Slovak Academy of Sciences Štefánikova 49, 814 73 Bratislava, Slovakia, , , , , , SK

    S. Pulmannová

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  1. S. Pulmannová
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Pulmannová, S. A note on observables on MV-algebras. Soft Computing 4, 45–48 (2000). https://doi.org/10.1007/s005000050081

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  • DOI: https://doi.org/10.1007/s005000050081

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