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arXiv · 1201.0414

Continuity in Information Algebras

Xuechong Guan·Yongming Li
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Abstract

In this paper, the continuity and strong continuity in domain-free information algebras and labeled information algebras are introduced respectively. A more general concept of continuous function which is defined between two domain-free continuous information algebras is presented. It is shown that, with the operations combination and focusing, the set of all continuous functions between two domain-free s-continuous information algebras forms a new s-continuous information algebra. By studying the relationship between domain-free information algebras and labeled information algebras, it is demonstrated that they do correspond to each other on s-compactness.

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Xuechong Guan, Yongming Li. 2012-01-02. Continuity in Information Algebras. https://doi.org/10.1142/s0218488512500304

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