The Hahn decomposition theorem for fuzzy measures and applications
We deal with measures on Delta -l-semigroups, in particular on MV-algebras. Examples of such measures are T-infinity-valuations on clans of fuzzy sets. We first provide the Hahn decomposition theorem for measures on Delta -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. (C) 2001 Elsevier Science B.V. All rights reserved.
hahn decomposition t-infinity-valuation on clans of fuzzy sets measure theory topology atomless measures liapounoff theorem compact and convex range mv algebras