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1 MATHEMATICAL MODEL

KB = <V, C, O, CO, R, RC, RCO, A, AC, AR, ARC, ACO, ARCO>,

where KB is the knowledge base,

V - set of registered values (Values),

C - set of categories (Categories),

O - set of objects (Objects),

CO -  set of pairs <c ∈ C, o ∈ O>,

R - set of relations (Relations),

RC - set of triples <r ∈ R, cfrom ∈ C, cto ∈ C>,

RCO - set of triples <rc ∈ RC, ofrom ∈ O, oto ∈ O>,

A - set of attributes (Attributes),

AC - set of triples <c ∈ C, a ∈ A, v ∈ V>,

AR - set of triples <r ∈ R, a ∈ A, v ∈ V>,

ARC - set of triples <rc ∈ RC, a ∈ A, v ∈ V>,

ACO - set of triples <co ∈ CO, a ∈ A, v ∈ V>,

ARCO - set of triples <rco ∈ RCO, a ∈ A, v ∈ V>.

 

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