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On two types of continuous information algebras. (English) Zbl 1251.68242

Summary: In this paper (strong) continuity of domain-free information algebras and labeled information algebras are introduced. Relationships between domain-free information algebras and labeled information algebras are mainly explored. It is shown that continuity and compactness can be preserved under certain canonical correspondences between domain-free information algebras and labeled information algebras. Some equivalent characterizations and examples for continuous information algebras are also given.

MSC:

68T37 Reasoning under uncertainty in the context of artificial intelligence
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