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.
2001-01-01
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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
pinamawe2001.pdf
non disponibili
Tipologia:
Altro materiale allegato
Licenza:
Non pubblico
Dimensione
138.75 kB
Formato
Adobe PDF
|
138.75 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.