Convergence theory for fuzzy c-means: counterexamples and repairs
IEEE Transactions on Systems, Man and Cybernetics
Algorithms for clustering data
Algorithms for clustering data
On the meaning of Dunn's partition coefficient for fuzzy clusters
Fuzzy Sets and Systems
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
Validating fuzzy partitions obtained through c-shells clustering
Pattern Recognition Letters - Special issue on fuzzy set technology in pattern recognition
Connection between fuzzy theory, simulated annealing, and convex duality
Fuzzy Sets and Systems
A new cluster validity index for the fuzzy c-mean
Pattern Recognition Letters
On finding the number of clusters
Pattern Recognition Letters
Context-specific Bayesian clustering for gene expression data
RECOMB '01 Proceedings of the fifth annual international conference on Computational biology
Pattern Recognition with Fuzzy Objective Function Algorithms
Pattern Recognition with Fuzzy Objective Function Algorithms
Clustering Algorithms
Data Mining Techniques: For Marketing, Sales, and Customer Support
Data Mining Techniques: For Marketing, Sales, and Customer Support
Detection and Separation of Ring-Shaped Clusters Using Fuzzy Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Cluster Validation with Generalized Dunn's Indices
ANNES '95 Proceedings of the 2nd New Zealand Two-Stream International Conference on Artificial Neural Networks and Expert Systems
Clustering Algorithms and Validity Measures
SSDBM '01 Proceedings of the 13th International Conference on Scientific and Statistical Database Management
A new approach for measuring the validity of the fuzzy c-means algorithm
Advances in Engineering Software
A cluster validation index for GK cluster analysis based on relative degree of sharing
Information Sciences—Informatics and Computer Science: An International Journal
A cluster validity index for fuzzy clustering
Pattern Recognition Letters
Unsupervised possibilistic clustering
Pattern Recognition
Fuzzy Bayesian validation for cluster analysis of yeast cell-cycle data
Pattern Recognition
A new fuzzy clustering algorithm for optimally finding granular prototypes
International Journal of Approximate Reasoning
A Clustering Performance Measure Based on Fuzzy Set Decomposition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonparametric genetic clustering: comparison of validity indices
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
Some new indexes of cluster validity
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Validity-guided (re)clustering with applications to image segmentation
IEEE Transactions on Fuzzy Systems
Correction to "On Cluster Validity for the Fuzzy c-Means Model" [Correspondence]
IEEE Transactions on Fuzzy Systems
On cluster validity for the fuzzy c-means model
IEEE Transactions on Fuzzy Systems
Adaptive fuzzy c-shells clustering and detection of ellipses
IEEE Transactions on Neural Networks
The fuzzy c spherical shells algorithm: A new approach
IEEE Transactions on Neural Networks
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part I
A Family of Cluster Validity Indexes Based on a l-Order Fuzzy OR Operator
SSPR & SPR '08 Proceedings of the 2008 Joint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition
Clustering analysis of the seismic catalog of Iran
Computers & Geosciences
Belief Functions and Cluster Ensembles
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
An Experimental Validation of Some Indexes of Fuzzy Clustering Similarity
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
Autocorrelation-based fuzzy clustering of time series
Fuzzy Sets and Systems
Normality-based validation for crisp clustering
Pattern Recognition
DS '09 Proceedings of the 12th International Conference on Discovery Science
A stability based validity method for fuzzy clustering
Pattern Recognition
On fuzzy cluster validity indices for the objects of mixed features
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
A fuzzy modeling approach to cluster validity
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Multiobjective genetic algorithm-based fuzzy clustering of categorical attributes
IEEE Transactions on Evolutionary Computation
IDEAL'09 Proceedings of the 10th international conference on Intelligent data engineering and automated learning
A fuzzy C-means type clustering algorithm on triangular fuzzy numbers
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 3
Fuzzy Clustering for Semantic Knowledge Bases
Fundamenta Informaticae - Methodologies for Intelligent Systems
Expert Systems with Applications: An International Journal
Relational generalizations of cluster validity indices
IEEE Transactions on Fuzzy Systems
A cluster validity index for fuzzy clustering
Fuzzy Sets and Systems
Expert Systems with Applications: An International Journal
Comparing fuzzy, probabilistic, and possibilistic partitions
IEEE Transactions on Fuzzy Systems
Information Technology and Management
A validity criterion for fuzzy clustering
ICCCI'11 Proceedings of the Third international conference on Computational collective intelligence: technologies and applications - Volume Part I
MiniMax ε-stable cluster validity index for Type-2 fuzziness
Information Sciences: an International Journal
Supervised Pseudo Self-Evolving Cerebellar algorithm for generating fuzzy membership functions
Expert Systems with Applications: An International Journal
Determining the number of clusters using information entropy for mixed data
Pattern Recognition
DBCAMM: A novel density based clustering algorithm via using the Mahalanobis metric
Applied Soft Computing
An automatic index validity for clustering
ICSI'10 Proceedings of the First international conference on Advances in Swarm Intelligence - Volume Part II
Automated computational delimitation of SST upwelling areas using fuzzy clustering
Computers & Geosciences
Expert Systems with Applications: An International Journal
A generalized automatic clustering algorithm in a multiobjective framework
Applied Soft Computing
A new index based on sparsity measures for comparing fuzzy partitions
SSPR'12/SPR'12 Proceedings of the 2012 Joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
A novel fuzzy clustering algorithm with between-cluster information for categorical data
Fuzzy Sets and Systems
Computers in Biology and Medicine
Data structure-guided development of electrocardiographic signal characterization and classification
Artificial Intelligence in Medicine
A fuzzy c-means based hybrid evolutionary approach to the clustering of supply chain
Computers and Industrial Engineering
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Cluster analysis aims at identifying groups of similar objects, and helps to discover distribution of patterns and interesting correlations in large data sets. Especially, fuzzy clustering has been widely studied and applied in a variety of key areas and fuzzy cluster validation plays a very important role in fuzzy clustering. This paper introduces the fundamental concepts of cluster validity, and presents a review of fuzzy cluster validity indices available in the literature. We conducted extensive comparisons of the mentioned indices in conjunction with the Fuzzy C-Means clustering algorithm on a number of widely used data sets, and make a simple analysis of the experimental results.