Algorithms for clustering data
Algorithms for clustering data
The algorithm design manual
ACM Computing Surveys (CSUR)
Fuzzy sets and their application to clustering and training
Fuzzy sets and their application to clustering and training
Essentials of Fuzzy Modeling and Control
Essentials of Fuzzy Modeling and Control
On Clustering Validation Techniques
Journal of Intelligent Information Systems
Center CLICK: A Clustering Algorithm with Applications to Gene Expression Analysis
Proceedings of the Eighth International Conference on Intelligent Systems for Molecular Biology
Clustering by committee
Cluster Analysis for Gene Expression Data: A Survey
IEEE Transactions on Knowledge and Data Engineering
Pattern Recognition Letters
A consensus-driven fuzzy clustering
Pattern Recognition Letters
Collaborative clustering with the use of Fuzzy C-Means and its quantification
Fuzzy Sets and Systems
On the efficiency of evolutionary fuzzy clustering
Journal of Heuristics
Cluster Analysis
Data Mining with Computational Intelligence
Data Mining with Computational Intelligence
Some new indexes of cluster validity
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Will the real iris data please stand up?
IEEE Transactions on Fuzzy Systems
Semantic Web Content Analysis: A Study in Proximity-Based Collaborative Clustering
IEEE Transactions on Fuzzy Systems
Fuzzy Clustering and Aggregation of Relational Data With Instance-Level Constraints
IEEE Transactions on Fuzzy Systems
On cluster validity for the fuzzy c-means model
IEEE Transactions on Fuzzy Systems
Survey of clustering algorithms
IEEE Transactions on Neural Networks
Evolutionary fuzzy clustering of relational data
Theoretical Computer Science
Comparing partitions by means of fuzzy data mining tools
SUM'12 Proceedings of the 6th international conference on Scalable Uncertainty Management
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
Overlapping community detection in networks: The state-of-the-art and comparative study
ACM Computing Surveys (CSUR)
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There is a family of well-known external clustering validity indexes to measure the degree of compatibility or similarity between two hard partitions of a given data set, including partitions with different numbers of categories. A unified, fully equivalent set-theoretic formulation for an important class of such indexes was derived and extended to the fuzzy domain in a previous work by the author [Campello, R.J.G.B., 2007. A fuzzy extension of the Rand index and other related indexes for clustering and classification assessment. Pattern Recognition Lett., 28, 833-841]. However, the proposed fuzzy set-theoretic formulation is not valid as a general approach for comparing two fuzzy partitions of data. Instead, it is an approach for comparing a fuzzy partition against a hard referential partition of the data into mutually disjoint categories. In this paper, generalized external indexes for comparing two data partitions with overlapping categories are introduced. These indexes can be used as general measures for comparing two partitions of the same data set into overlapping categories. An important issue that is seldom touched in the literature is also addressed in the paper, namely, how to compare two partitions of different subsamples of data. A number of pedagogical examples and three simulation experiments are presented and analyzed in details. A review of recent related work compiled from the literature is also provided.