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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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Shadowed-set-based three-way clustering methods: An investigation of new optimization-based principles

TL;DR: In this article , shadowed C-means clustering methods arising from trade-off between uncertain and certain regions, which is necessary for refraining from making uncertain classification as much as possible, are compared.
Journal ArticleDOI

Volume and Surface Area-Based Cluster Validity Index

TL;DR: A novel validity index is proposed to directly assess the clustering results of any dataset, which does not require any trail-and-error process, clustering algorithms, data structures, or the measurements of intra- and inter-cluster distances.
Posted ContentDOI

The sub-annual calibration of hydrological models considering climatic intra-annual variations

TL;DR: In this article, the authors explored the effect of time scales on sub-annual calibration schemes and found that the optimal time scale is dependent on the calendar-based grouping (CBG) method and temperature-dominated FCM algorithm.
Journal ArticleDOI

Recovery of Forest Vegetation in a Burnt Area in the Republic of Korea: A Perspective Based on Sentinel-2 Data

TL;DR: In this paper, the degree of vegetative regeneration using the Normalized Difference Vegetation Index (NDVI), Enhanced Vegetation index (EVI), Soil-Adjustment VegetationIndex (SAVI), and Normalized Burn Ratio (NBR) is estimated.
Journal ArticleDOI

The area under the ROC curve as a measure of clustering quality

TL;DR: The Area Under the Curve for Clustering (AUCC) criterion as discussed by the authors is a linear transformation of the Gamma criterion from Baker and Hubert (1975), for which a theoretical expected value for chance clusterings is derived.
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.