Loomis--Sikorski representation of monotone σ-complete effect algebras

Authors:
David Buhagiar;Emmanuel Chetcuti;Anatolij Dvurečenskij
Affiliations:
Department of Mathematics, Faculty of Sciences, University of Malta, Msida MSD.06, Malta;Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, SK-814 73 Bratislava, Slovakia;Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, SK-814 73 Bratislava, Slovakia
Venue:
Fuzzy Sets and Systems
Year:
2006

Citing 1
Cited 3

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Abstract

We show that monotone @s-complete effect algebras with the Riesz decomposition property are @s-homomorphic images of effect-tribes with the Riesz decomposition property, which are effect algebras of fuzzy sets closed under pointwise limits of nondecreasing fuzzy sets.