Guan, Xuechong; Li, Yongming On two types of continuous information algebras. (English) Zbl 1251.68242 Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 20, No. 5, 655-671 (2012). 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. Cited in 4 Documents MSC: 68T37 Reasoning under uncertainty in the context of artificial intelligence Keywords:continuous domain-free information algebras; continuous labeled information algebras; way-below relation; compactness PDFBibTeX XMLCite \textit{X. Guan} and \textit{Y. Li}, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 20, No. 5, 655--671 (2012; Zbl 1251.68242) Full Text: DOI arXiv References: [1] DOI: 10.1016/0888-613X(89)90009-1 · doi:10.1016/0888-613X(89)90009-1 [2] DOI: 10.1007/978-1-4471-0009-6 · doi:10.1007/978-1-4471-0009-6 [3] DOI: 10.1016/j.artint.2008.03.003 · Zbl 1183.68287 · doi:10.1016/j.artint.2008.03.003 [4] DOI: 10.1016/j.ijar.2003.10.009 · Zbl 1093.68115 · doi:10.1016/j.ijar.2003.10.009 [5] DOI: 10.1016/S0004-3702(02)00208-4 · doi:10.1016/S0004-3702(02)00208-4 [6] DOI: 10.1007/978-94-017-1737-3_2 · doi:10.1007/978-94-017-1737-3_2 [7] DOI: 10.1016/S0898-1221(99)00056-5 · Zbl 0936.03049 · doi:10.1016/S0898-1221(99)00056-5 [8] DOI: 10.1016/S0898-1221(03)00016-6 · Zbl 1032.03525 · doi:10.1016/S0898-1221(03)00016-6 [9] DOI: 10.1017/CBO9780511542725 · Zbl 1088.06001 · doi:10.1017/CBO9780511542725 [10] DOI: 10.1007/BFb0073967 · doi:10.1007/BFb0073967 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.