The Hahn decomposition theorem for fuzzy measures and applications

被引：8
作者：
Barbieri, G
Lepellere, MA
Weber, H
机构：
[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy
[2] Dipartimento Matemat & Applicaz, I-80126 Naples, Italy
来源：
FUZZY SETS AND SYSTEMS | 2001年 / 118卷 / 03期
关键词：
measure theory; topology; atomless measures; T-infinity-valuation on clans of fuzzy sets; Hahn decomposition; Liapounoff theorem; compact and convex range; MV algebras;
D O I：
10.1016/S0165-0114(98)00421-7
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
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.
引用
收藏
页码：519 / 528
页数：10
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