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Information algebra : ウィキペディア英語版
Information algebra

A mathematical phrasing of these operations leads to an algebra of information, describing basic modes of information processing. Such an algebra involves several formalisms of computer science, which seem to be different on the surface: relational databases, multiple systems of formal logic or numerical problems of linear algebra. It allows the development of generic procedures of information processing and thus a unification of basic methods of computer science, in particular of distributed information processing.
Information relates to precise questions, comes from different sources, must be aggregated, and can be focused on questions of interest. Starting from these considerations, information algebras are two-sorted algebras (\Phi,D)\,, where \Phi\, is a semigroup, representing combination or aggregation of information, D\, is a lattice of domains (related to questions) whose partial order reflects the granularity of the domain or the question, and a mixed operation representing focusing or extraction of information.
== Information and its operations ==
More precisely, in the two-sorted algebra (\Phi,D)\,, the following operations are defined
Additionally, in D\, the usual lattice operations (meet and join) are defined.

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