We deal with measures on Δ-l-semigroups, in particular on MV-algebras. Examples of such measures are T∞-valuations on clans of fuzzy sets. We first provide the Hahn decomposition theorem for measures on Δ-l-semigroups. This is then used to obtain a representation theorem for such measures, which itself is a basic tool in the proof of Liapounoff type theorems.

The Hahn decomposition theorem for fuzzy measures and applications

BARBIERI, Giuseppina Gerarda;LEPELLERE, Maria Antonietta;WEBER, H.
2001

Abstract

We deal with measures on Δ-l-semigroups, in particular on MV-algebras. Examples of such measures are T∞-valuations on clans of fuzzy sets. We first provide the Hahn decomposition theorem for measures on Δ-l-semigroups. This is then used to obtain a representation theorem for such measures, which itself is a basic tool in the proof of Liapounoff type theorems.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11390/712238
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