Information Algebra - Connections

Connections

Valuation algebras
Dropping the idempotency axiom leads to Valuation Algebras. These axioms have been introduced by (Shenoy & Shafer 1990) to generalize local computation schemes (Lauritzen & Spiegelhalter 1988) from Bayesian networks to more general formalisms (including belief function, possibility potentials, etc.) (Kohlas & Shenoy 2000).
Domains and information systems
Compact Information Algebras (Kohlas 2003) are related to Scott domains and Scott information systems (Scott 1970);(Scott 1982);(Larsen & Winskel 1984).
Uncertain information
Random variables with values in information algebras represent probabilistic argumentation systems (Haenni, Kohlas & Lehmann 2000).
Semantic information
Information algebras introduce semantics by relating information to questions through focusing and combination (Groenendijk & Stokhof 1984);(Floridi 2004).
Information flow
Information algebras are related to information flow, in particular classifications (Barwise & Seligman 1997).
Tree decomposition
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Semigroup theory
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