Properties of Multialgebraic Systems in Problems of Comparative Recognition

Autor: Mashtalir, V., Shlyakhov, V.
Zdroj: Cybernetics and Systems Analysis; November 2003, Vol. 39 Issue: 6 p790-804, 15p
Abstrakt: To recognize patterns on the basis of comparison with standard ones, multialgebraic systems that make it possible to jointly process input data and classes of their equivalence are introduced and investigated. The necessary and sufficient conditions of existence of such systems are formulated and proved. It is shown that any algebraic system can be represented as a multialgebraic one. With a view to processing data, the isomorphism conditions of multialgebraic systems are investigated.
Databáze: Supplemental Index