On States on MV-algebras and their Applications

ANATOLIJ DVURECENSKIJ

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On States on MV-algebras and their Applications

机译：MV代数上的状态及其应用

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摘要

We present the notion of a state, as averaging or a probabilistic assessment in many-valued reasoning. We show what a state can be in different algebraic structures, and also present a new trends using de Finetti's coherence principle or state MV-algebras where the state is an internal notion.

机译：我们将状态的概念呈现为多值推理中的平均值或概率评估。我们展示了一个状态可以处于不同的代数结构中，并且还使用de Finetti的相干原理或状态MV代数（其中状态是一个内部概念）提出了一种新的趋势。

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《Journal of logic and computation》 |2011年第3期|p.407-427|共21页
作者
ANATOLIJ DVURECENSKIJ;
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作者单位

Mathematical Institute, Slovak Academy of Sciences, Stefdnikova 49, SK-814 73 Bratislava, Slovakia;

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正文语种 eng
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关键词
mv-algebra; unital l-group; representation; state; state-morphism; coherence; state mv-algebra; state-morphism mv-algebra;

机译：mv-代数单一的l组表示;州;状态态连贯州代数状态同态MV代数;

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2. Convergence with a fixed regulator in lattice ordered groups and applications to MV-algebras [J] . Cernak S Soft computing: A fusion of foundations, methodologies and applications . 2008,第5期

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On States on MV-algebras and their Applications

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