Sulla correttezza probabilistica dei sistemi esperti

Abstract

In this paper a theoretical environment, enhancing the work of P. Hájek, is introduce to evaluate the statistical soundness of deductions in rule based expert systems. Assuming the system to be flat the problem of constructing a suitable knowledge base, in order to have probabilistically sound results, has been solved by using the Mobius function; it is also shown a construction of a log linear representation with the same technique.