Measures and Topologies on MV-algebras~1

HANS WEBER

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Measures and Topologies on MV-algebras~1

机译：MV-代数〜1的测度和拓扑

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We present a topological approach to the study of measures on MV-algebras. These measures generalize, in the terminology of Butnariu and Klement (D. Butnariu and E. P. Klement. Triangular Norm based Measures and Games with Fuzzy Coalitions. Kluver, Dordrecht, 1993), T_∞-valuations on clans of fuzzy sets.

机译：我们提出一种拓扑方法来研究MV代数的度量。这些度量在Butnariu和Klement的术语（D. Butnariu和E. P. Klement。基于三角范数的具有模糊联盟的度量和博弈。Kluver，Dordrecht，1993）中概括为模糊集氏族的T_∞值。

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来源
《Journal of logic and computation》 |2011年第3期|p.527-539|共13页
作者
HANS WEBER;
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作者单位

Dipartimento di Matematica e Informatica, Universita di Udine,Via delle Scienze 206, 33100 Udine, Italy.;

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正文语种 eng
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关键词
topological mv-algebras; measures; lebesgue decomposition; hammer-sobczyk decomposition; vitali-hahn-saks theorem; nikodym boundedness theorem; lyapunov theorem;

机译：拓扑MV代数措施;勒比格分解;锤-沙比奇分解生命-哈恩-萨克斯定理;nikodym有界定理;利亚普诺夫定理;

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1. Measure-free conditioning and extensions of additive measures on finite MV-algebras [J] . Siegfried Weber Fuzzy sets and systems . 2010,第18期

机译：有限MV代数上的无量纲条件化和加法的扩展
2. Filter topologies and topological MV-algebras [J] . Luan Wei, Weber Hans, Yang Yichuan Fuzzy sets and systems . 2021,第Feba28期

机译：过滤拓扑和拓扑MV-Algebras
3. Filter topologies on MV-algebras II [J] . Soft computing: A fusion of foundations, methodologies and applications . 2020,第5期

机译：MV-Algebras II上的过滤拓扑
4. A Note on the Convex Structure of Uncertainty Measures on MV-algebras [C] . Tommaso Flaminio, Lluís Godo Lacasa International Conference on Soft Methods in Probability and Statistics . 2013

机译：关于MV-Algebras不确定度量凸面结构的说明
5. Measuring Topology of BECs in a Synthetic Dimensions Lattice [D] . Genkina, Dina. 2019

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6. Tsallis Entropy of Product MV-Algebra Dynamical Systems [O] . Dagmar Markechová, Beloslav Riečan 2018

机译：Tsallis产品MV-Algebra动态系统熵
7. Inverse topology in MV-algebras [O] . Fereshteh Forouzesh, Farhad Sajadian, Mahta Bedrood 2018

机译：MV-Algebras中的逆拓扑

Measures and Topologies on MV-algebras~1

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