The Hahn decomposition theorem for fuzzy measures and applications

Authors
Barbieri, G Lepellere, MA Weber, H
Citation
G. Barbieri et al., The Hahn decomposition theorem for fuzzy measures and applications, FUZ SET SYS, 118(3), 2001, pp. 519-528
Citations number
21
Categorie Soggetti
Engineering Mathematics
Journal title
FUZZY SETS AND SYSTEMS
ISSN journal
01650114 → ACNP
Volume
118
Issue
3
Year of publication
2001
Pages
519 - 528
Database
ISI
SICI code
0165-0114(20010316)118:3<519:THDTFF>2.0.ZU;2-W
Abstract
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 m easures, which itself is a basic tool in the proof of Liapounoff type theor ems. (C) 2001 Elsevier Science B.V. All rights reserved.