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A hyperstructure of conditional events for artificial intelligence. (English) Zbl 0859.68098

Coletti, Giulianella (ed.) et al., Mathematical models for handling partial knowledge in artificial intelligence. Selected papers from a workshop, Sicily, Italy, June 19-25, 1994. New York, NY: Plenum Press. 201-208 (1995).
Summary: In the field of Artificial Intelligence partial information can be represented by conditional events. It therefore becomes necessary to find some characterizations of logical dependence for conditional events to decide what essential information about a problem is.
Beginning over the definition of conditional events as a three valued logic entity, we represent, in this paper, a family of conditional events as the result of a multivalued operation.
Thereafter an hyperstructure of events is built and its properties are studied. The concept of block is introduced to represent a family of conditional events logically dependent one on each other and a geometric space of conditional events is built. Finally some new characterizations of logical dependence for conditional events are proposed.
For the entire collection see [Zbl 0845.00054].

MSC:

68T27 Logic in artificial intelligence
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