1. Models for Pattern Recognition. - S1 Pattern Recognition. - S2 Some Notes on Mathematical Models. - S3 Uncertainty. - 2. Partitions and Relations. - S4 The Algebra of Fuzzy Sets. - S5 Fuzzy Partition Spaces. - S6 Properties of Fuzzy Partition Spaces. - S7 Fuzzy Relations. - 3. Objective Function Clustering. - S8 Cluster Analysis: An Overview. - S9 Density Functionals. - S10 Likelihood Functionals: Congenital Heart Disease. - S11 Least-Squares Functionals: Fuzzy c-Means. - S12 Descent and Convergence of Fuzzy c-Means. - S13 Feature Selection for Binary Data: Important Medical Symptoms. - 4. Cluster Validity. - S14 Cluster Validity: An Overview. - S15 The Partition Coefficient: Numerical Taxonomy. - S16 Classification Entropy. - S17 The Proportion Exponent: Numerical Taxonomy Revisited. - S18 Normalization and Standardization of Validity Functionals. - S19 The Separation Coefficient: Star-Tracker Systems. - S20 Separation Indices and Fuzzy c-Means. - 5. Modified Objective Function Algorithms. - S21 Affinity Decomposition: An Induced Fuzzy Partitioning Approach. - S22 Shape Descriptions with Fuzzy Covariance Matrices. - S23 The Fuzzy c-Varieties Clustering Algorithms. - S24 Convex Combinations: Fuzzy c-Elliptotypes. - 6. Selected Applications in Classifier Design. - S25 An Overview of Classifier Design: Bayesian Classifiers. - S26 A Heuristic Approach to Parametric Estimation: Bayesian Classifiers for Mixed Normal Distributions. - S27 Nearest Prototype Classifiers: Diagnosis of Stomach Disease. - S28 Fuzzy Classification with Nearest Memberships. - References. - Algorithm Index. - Author Index. Language: English