%0 Journal Article %A Vasil'ev, V. I. %D 1998 %I Begell House %N 2-3 %P 1-10 %R 10.1615/JAutomatInfScien.v30.i2-3.10 %T Reduction Theory in Extrapolation Problems %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,1b1706bb57164c1c,3c5944455c29af92.html %V 30 %X Basic principles of the reduction theory in the pattern recognition problem are presented in a brief form. It is shown that these principles can be used in the solution of many extrapolation problems like reconstruction of deterministic and membership functions, classification, and forecasting. %8 1998-06-01