The Hahn decomposition theorem for fuzzy measure and applications

Giuseppina Barbieri; Maria Antonietta Lepellere; Hans Weber

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The Hahn decomposition theorem for fuzzy measure and applications

机译：Hahn分解定理的模糊测度及应用

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摘要

We deal with measures on △-t-semigroups, in particular on MV-algebras. Examples of such measures are T_∞-valuations on clans of fuzzy sets. We first provided the Hahn decomposition theorem for measures on △-t-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.

机译：我们处理△t半群上的度量，尤其是MV代数上的度量。此类度量的示例是对模糊集氏族的T_∞值。我们首先提供Hahn分解定理，用于△-t-半群上的测度。然后将其用于获得此类度量的表示定理，该定理本身是证明Liapounoff型定理的基本工具。

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来源
《Fuzzy sets and systems》 |2001年第3期|p.519-528|共10页
作者
Giuseppina Barbieri; Maria Antonietta Lepellere; Hans Weber;
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作者单位

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类模糊数学;
关键词
Measure theory; Topology; Atomless measures; T_∞-valuation on clans of fuzzy sets;

机译：测度理论;拓扑;无原子措施;模糊集氏族的T_∞值;

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3. Lebesgue Decompositions of Signed Fuzzy Number-valued Measures and Radon-Nikodym Theorems for Fuzzy Number-valued Integrals on The Fuzzy Set [J] . Fen-xia Zhao, Guang-Quan Zhang The Journal of fuzzy mathematics . 2004,第2期

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The Hahn decomposition theorem for fuzzy measure and applications

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