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Journal ArticleDOI

Validity index for crisp and fuzzy clusters

TLDR
A cluster validity index and its fuzzification is described, which can provide a measure of goodness of clustering on different partitions of a data set, and results demonstrating the superiority of the PBM-index in appropriately determining the number of clusters are provided.
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This article is published in Pattern Recognition.The article was published on 2004-03-01. It has received 710 citations till now. The article focuses on the topics: Fuzzy clustering & Correlation clustering.

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Citations
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Journal ArticleDOI

AK-MCSi: A Kriging-based method to deal with small failure probabilities and time-consuming models

TL;DR: The proposed paper introduces a sequential Monte Carlo Simulation technique to deal with small failure probabilities, and introduces a multipoint enrichment technique to allow parallelization and thus to reduce numerical efforts.
Journal ArticleDOI

A weighted sum validity function for clustering with a hybrid niching genetic algorithm

TL;DR: An objective function called the Weighted Sum Validity Function (WSVF), which is a weighted sum of the several normalized cluster validity functions, is suggested, which is generally able to improve the confidence of clustering solutions and achieve more accurate and robust results.
Journal ArticleDOI

Clustering Algorithms: Their Application to Gene Expression Data

TL;DR: This review examines the various clustering algorithms applicable to the gene expression data in order to discover and provide useful knowledge of the appropriate clustering technique that will guarantee stability and high degree of accuracy in its analysis procedure.
Journal ArticleDOI

A comprehensive survey of clustering algorithms: State-of-the-art machine learning applications, taxonomy, challenges, and future research prospects

TL;DR: Clustering is an essential tool in data mining research and applications as discussed by the authors and it is the subject of active research in many fields of study, such as computer science, data science, statistics, pattern recognition, artificial intelligence, and machine learning.
Journal ArticleDOI

A Survey of Multiobjective Evolutionary Clustering

TL;DR: A comprehensive and critical survey of the multitude of multiobjective evolutionary clustering techniques existing in the literature, classified according to the encoding strategies adopted, objective functions, evolutionary operators, strategy for maintaining nondominated solutions, and the method of selection of the final solution.
References
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Book

Genetic algorithms in search, optimization, and machine learning

TL;DR: In this article, the authors present the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields, including computer programming and mathematics.

Genetic algorithms in search, optimization and machine learning

TL;DR: This book brings together the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields.
Book

Applied Multivariate Statistical Analysis

TL;DR: In this article, the authors present an overview of the basic concepts of multivariate analysis, including matrix algebra and random vectors, as well as a strategy for analyzing multivariate models.
Journal ArticleDOI

Applied Multivariate Statistical Analysis.

TL;DR: In this article, the authors present an overview of the basic concepts of multivariate analysis, including matrix algebra and random vectors, as well as a strategy for analyzing multivariate models.