Set coverings and tolerance relations

Authors:
S. N. Gerasin;V. V. Shlyakhov;S. V. Yakovlev
Affiliations:
Kharkov National University of Radioelectronics, Kharkov, Ukraine;Kharkov National University of Radioelectronics, Kharkov, Ukraine;Kharkov National University of Internal Affairs, Kharkov, Ukraine
Venue:
Cybernetics and Systems Analysis
Year:
2008

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Tolerance Classes in Measuring Image Resemblance

KES '09 Proceedings of the 13th International Conference on Knowledge-Based and Intelligent Information and Engineering Systems: Part II

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Abstract

Properties of tolerance relations and tolerance classes are studied. Tolerance classes are demonstrated to form carrier set coverings. The conditions are proved under which tolerance and equivalence classes coincide.