Properties of Multialgebraic Systems in Problems of Comparative Recognition

  • Authors:
  • V. P. Mashtalir;V. V. Shlyakhov

  • Affiliations:
  • Kharkov National University of Radioelectronics, Kharkov, Ukraine masht@skynet.kharkov.com mashtalir@kture.kharkov.ua;Kharkov National University of Radioelectronics, Kharkov, Ukraine

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2003

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Abstract

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.