The Occam´s razor principle for degenerate selfguessing fuzzy classifiers

Let G/sub 1/, C/sub 2//spl epsiv/DSg (/spl Theta/) be arbitrary degenerate self-guessing (for fixed learning set /spl Theta/) fuzzy classifiers. We\´ll say that G/sub 2/ is more effective than G/sub 1/ iff the performance of G/sub 2/ is higher than G/sub 1/. The problem of choice the "best" fuzzy classifier from DSg (/spl Theta/) set is considered. The unambiguous concept of simplicity and the possible interpretation of the simplicity (Occam\´s razor) principle for degenerate fuzzy classifiers are introduced. The quality criterion for fuzzy classifiers from DSg (/spl Theta/) is proved.