Some results of analysis of the group classification problem
M. B. Aidarkhanov, L. L. La · Pattern Recognition and Image Analysis · 2006
The coordinate representation of classifications is proposed for solving the group synthesis problem. Theorems on the existence of group classifications, which are closer to true classification than other classifications, are formulated. The concept of (ε, δ) stability of classification algorithms is defined, and the stability of the algorithms of crisp and fuzzy group classifications is estimated.