Jul 6, 2006 · We describe the set of all extremal states, and we prove that they correspond exactly to state-morphisms, homomorphisms of bounded commutative R ...
With the probability measure on the set of states on bounded commutative `-monoids, we introduce the satisfiability degrees of propositions as their average ...
Bounded commutative R`-monoids are a generalization of MV-algebras as well as of BLalgebras.With the probability measure on the set of states on bounded ...
Bounded commutative R`-monoids are a general- ization of MV-algebras as well as of BL-algebras. With the probability measure on the set of states.
States are analogues of probability measures. We exhibit the state space of the monoids proving that the set of extremal states is a nonempty compact Hausdorff ...
In the paper we deal with Bosbach states on more general algebras than BL-algebras, hence we use the duals of DR -monoids called R -monoids. A commutative R - ...
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Bounded Rℓ-monoids generalize GMV-algebras and pseudo BL-algebras. Such monoids do not admit, in general, any analogue of addition, in contrast to ...
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What is the theory of commutative Monoids?
Probabilistic averaging in bounded commutative residuated ℓ-monoids. Bounded commutative R@?-monoids generalize BL-algebras (and consequently MV-algebras).
Apr 27, 2005 · We study Boolean elements and introduce the general comparability property. It entails that the monoids with the property are BL-algebras, and ...
Probabilistic averaging in bounded commutative residuated ℓ-monoids. A Dvurečenskij, J Rachůnek. Discrete Mathematics 306 (13), 1317-1326, 2006. 58, 2006 ; Every ...