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A Hyperstructure of Conditional Events for Artificial Intelligence

In: Mathematical Models for Handling Partial Knowledge in Artificial Intelligence

Author

Listed:
  • Serena Doria

    (Universita’ G. D’Annunzio, Facolta’ di Scienze M.F.N.)

  • Antonio Maturo

    (Universita’ G. D’Annunzio, Facolta’ di Architettura)

Abstract

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.

Suggested Citation

  • Serena Doria & Antonio Maturo, 1995. "A Hyperstructure of Conditional Events for Artificial Intelligence," Springer Books, in: Giulianella Coletti & Didier Dubois & Romano Scozzafava (ed.), Mathematical Models for Handling Partial Knowledge in Artificial Intelligence, pages 201-208, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-1424-8_12
    DOI: 10.1007/978-1-4899-1424-8_12
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