1st Edition
Fuzzy Sets & their Application to Clustering & Training
666 Pages
by
CRC Press
664 Pages
by
CRC Press
Also available as eBook on:
Fuzzy set theory - and its underlying fuzzy logic - represents one of the most significant scientific and cultural paradigms to emerge in the last half-century. Its theoretical and technological promise is vast, and we are only beginning to experience its potential. Clustering is the first and most basic application of fuzzy set theory, but forms the basis of many, more sophisticated, intelligent... Read more
BASIC ASPECTS OF FUZZY SET THEORY
Fuzzy Sets
Properties of Fuzzy Set Operations. Disjointness and Fuzzy Partitions
Algebraic Properties of the Families of Fuzzy Sets
Metric Concepts for Fuzzy Sets
Entropy and Informational Energy of Finite Fuzzy Partitions
Fuzziness and Nonfuzziness Measures
SUPERVISED FUZZY LEARNING CLASSIFIERS
Fuzzy Neural Classifiers. Fuzzy Perceptron Algorithm and some Relatives
Fuzzy Learning Algorithms using Squared Criterion Function
ONE-LEVEL FUZZY PARTITIONAL PROTOTYPE-BASED CLUSTERING
One Level Clustering. Cluster Substructure of a Fuzzy Class
Other One-Level Clustering Methods
Linear Cluster Detection
Adaptive Algorithms for One-Level Fuzzy Clustering
Advanced Adaptive Algorithms
Cluster Validity
Advanced Cluster Validity Functionals
Convergence of Fuzzy Clustering Algorithms
FUZZY DISCRIMINANT ANALYSIS AND HIERARCHICAL FUZZY CLUSTERING
Fuzzy Discriminant Analysis and Related Clustering Criteria
Fuzzy Hierarchical Clustering
Fuzzy Simultaneous Clustering
INDEX
Fuzzy Sets
Properties of Fuzzy Set Operations. Disjointness and Fuzzy Partitions
Algebraic Properties of the Families of Fuzzy Sets
Metric Concepts for Fuzzy Sets
Entropy and Informational Energy of Finite Fuzzy Partitions
Fuzziness and Nonfuzziness Measures
SUPERVISED FUZZY LEARNING CLASSIFIERS
Fuzzy Neural Classifiers. Fuzzy Perceptron Algorithm and some Relatives
Fuzzy Learning Algorithms using Squared Criterion Function
ONE-LEVEL FUZZY PARTITIONAL PROTOTYPE-BASED CLUSTERING
One Level Clustering. Cluster Substructure of a Fuzzy Class
Other One-Level Clustering Methods
Linear Cluster Detection
Adaptive Algorithms for One-Level Fuzzy Clustering
Advanced Adaptive Algorithms
Cluster Validity
Advanced Cluster Validity Functionals
Convergence of Fuzzy Clustering Algorithms
FUZZY DISCRIMINANT ANALYSIS AND HIERARCHICAL FUZZY CLUSTERING
Fuzzy Discriminant Analysis and Related Clustering Criteria
Fuzzy Hierarchical Clustering
Fuzzy Simultaneous Clustering
INDEX
Biography
Beatrice Lazzerini, Lakhmi C. Jain, D. Dumitrescu
