Fuzzy Mathematics in Pattern Classification |
Contents
Biographical Sketch ii | 6 |
Introduction 1 | 9 |
An Algebraic Structure for Partition | 9 |
15 other sections not shown
Common terms and phrases
algorithm approximation Chapter classification criterion closest hard cluster analysis Compact Clusters component compute conv(A convex hull covariance matrix D₂ defined denote Dunn Euclidean example F₂ Friedman and Rubin fuzzy clustering fuzzy ISODATA fuzzy means fuzzy sets fuzzy subsets global minimum hard c-partition hard ISODATA hence indicates initial guesses Iris data Iris Virginica ISODATA process iterative J₁ J₂ labelled mathematical matrix maximum likelihood membership functions membership values minimal n-sample minimum variance partitioning mixture necessary conditions non-degenerate norm metric objective function observations optimal CWS clusters parameters parametric estimation partition coefficient partition space partitioning problem partitioning subsets pattern classification Proof resp sample seems solution Stars near Polaris substructure superset T₂ Table Theorem tion Touching Clusters ûjk UMLE unique unsupervised learning variance partitioning problem vector space Y₁ yields