2010
DOI: 10.1109/tfuzz.2010.2048114
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Relational Generalizations of Cluster Validity Indices

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Cited by 48 publications
(25 citation statements)
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“…The most important problem of the adjustment of the clustering parameters was the selection of the final number of clusters. Multiple validity indices were studied [34] and the best results were obtained with the Xie-Beni Index, which was selected [35], It aims to quantify the ratio of the total variation within clusters to the separation among them:…”
Section: Influential Attribute Selectionmentioning
confidence: 99%
“…The most important problem of the adjustment of the clustering parameters was the selection of the final number of clusters. Multiple validity indices were studied [34] and the best results were obtained with the Xie-Beni Index, which was selected [35], It aims to quantify the ratio of the total variation within clusters to the separation among them:…”
Section: Influential Attribute Selectionmentioning
confidence: 99%
“…When R is not an Euclidean matrix, the β spread transformation described in (Hathaway e Bezdek, 1994;Sledge et al, 2010) can be employed to turn R into an Euclidean one. This letter is intended to be a complement to those theoretical findings in (Sledge et al, 2010).…”
Section: F3 Conclusionmentioning
confidence: 99%
“…These dissimilarities can be conveniently disposed in a relational matrix R = [r i,j ] n×n , in which r i,j is a measure of distance between objects o i and o j . As in (Sledge et al, 2010), it is assumed here that r i,j ∈ R + (non-negative reals), r i,i = 0, and r i,j = r j,i , for all i, j ∈ N 1,n .…”
Section: F1 Introductionmentioning
confidence: 99%
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