论文信息 - Probabilistic Averaging in Bounded Rℓ-Monoids

Probabilistic Averaging in Bounded Rℓ-Monoids

AbstractBounded Rℓ-monoids generalize GMV-algebras and pseudo BL-algebras. Such monoids do not admit, in general, any analogue of addition, in contrast to GMV-algebras. Nevertheless we introduce the notion of a state (an analogue of a probability measure). It coincides with that for GMV-algebras. We show that the existence of states is crucially connected with the existence of normal and maximal filters. In addition, some topological properties of the extremal states and the hull-kernel topology of filters are studied.

Anatolij Dvurecenskij | A. Dvurecenskij | J. Rachunek | Jiri Rachunek

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