Unsupervised Optimal Fuzzy Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Validity Measure for Fuzzy Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
A new cluster validity index for the fuzzy c-mean
Pattern Recognition Letters
ACM Computing Surveys (CSUR)
Fuzzy sets and their application to clustering and training
Fuzzy sets and their application to clustering and training
On post-clustering evaluation and modification
Pattern Recognition Letters
Fuzzy Modeling for Control
Pattern Recognition with Fuzzy Objective Function Algorithms
Pattern Recognition with Fuzzy Objective Function Algorithms
Fuzzy Models and Algorithms for Pattern Recognition and Image Processing
Fuzzy Models and Algorithms for Pattern Recognition and Image Processing
Fuzzy cluster validation index based on inter-cluster proximity
Pattern Recognition Letters
Hierarchical partition of nonstructured concurrent systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
On cluster validity for the fuzzy c-means model
IEEE Transactions on Fuzzy Systems
On fuzzy cluster validity indices
Fuzzy Sets and Systems
Newspaper demand prediction and replacement model based on fuzzy clustering and rules
Information Sciences: an International Journal
A cluster validity index for fuzzy clustering
Information Sciences: an International Journal
Ordering Grids to Identify the Clustering Structure
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Part II--Advances in Neural Networks
New Inter-Cluster Proximity Index for Fuzzy c-Means Clustering
IEICE - Transactions on Information and Systems
A new point symmetry based fuzzy genetic clustering technique for automatic evolution of clusters
Information Sciences: an International Journal
IEEE Transactions on Fuzzy Systems
On fuzzy cluster validity indices for the objects of mixed features
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Intra-cluster similarity index based on fuzzy rough sets for fuzzy c-means algorithm
RSKT'08 Proceedings of the 3rd international conference on Rough sets and knowledge technology
A cluster validity index for fuzzy clustering
Fuzzy Sets and Systems
Expert Systems with Applications: An International Journal
Fuzzy clustering algorithms for unsupervised change detection in remote sensing images
Information Sciences: an International Journal
Comparison of different input selection algorithms in neuro-fuzzy modeling
Expert Systems with Applications: An International Journal
A validity criterion for fuzzy clustering
ICCCI'11 Proceedings of the Third international conference on Computational collective intelligence: technologies and applications - Volume Part I
A classification of cluster validity indexes based on membership degree and applications
WISM'11 Proceedings of the 2011 international conference on Web information systems and mining - Volume Part I
A new indirect approach to the type-2 fuzzy systems modeling and design
Information Sciences: an International Journal
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In this paper, the problem of traditional validity indices when applied to the Gustafson-Kessel (GK) clustering are reviewed. A new cluster validity index for the GK algorithm is proposed. This validity index is defined as the average value of the relative degrees of sharing of all possible pairs of fuzzy clusters in the system. It computes the overlap of each pair of fuzzy clusters by considering the degree of sharing of each data point in the overlap. The optimal number of clusters is obtained by minimizing the validity index. Experiments in which the proposed validity index and several traditional validity indices were applied to 6 data sets highlight the superior qualities of the proposed index. The results indicate that the proposed validity index is very reliable.