Cluster validity index: Comparative study and a new validity index with high performance
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References
5,787 citations
"Cluster validity index: Comparative..." refers methods in this paper
...Fuzzy c-means (FCM) is a fuzzy clustering method proposed by Dunn [9] in 1973 and generalized by Bezdek in 1981 [10], which is an extension that allows elements to belong to multiple clusters simultaneously....
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...[9] Dunn, J. C....
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...[14] J.C.Dunn....
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5,254 citations
3,237 citations
"Cluster validity index: Comparative..." refers background or methods in this paper
...This index [5] is defined as the average between WB [21] and XB [15] indexes and is formulated as follows: WXI(c) = (WB+XB)/2 The optimal number of clusters is obtained at the minimum value of WXI....
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...i=1 Where cvii is one of the following ten cluster validity indexes (CVIs): PC [11], NPC [12], PE [13], NPE [14], XB [15], VK [16], PBMF [17], FS [18], VT [19] and SC [20]....
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1,170 citations
"Cluster validity index: Comparative..." refers methods in this paper
...The FCM algorithm [10] is composed of the following steps: 1....
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...Fuzzy c-means (FCM) is a fuzzy clustering method proposed by Dunn [9] in 1973 and generalized by Bezdek in 1981 [10], which is an extension that allows elements to belong to multiple clusters simultaneously....
[...]
710 citations
"Cluster validity index: Comparative..." refers background in this paper
...𝑐𝑣𝑖𝑖 𝑛 𝑖=1 Where cvii is one of the following ten cluster validity indexes (CVIs): PC [11], NPC [12], PE [13], NPE [14], XB [15], VK [16], PBMF [17], FS [18], VT [19] and SC [20]....
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...The PC, NPC and PBMF indexes are converted into their corresponding reciprocal types, and all the CVIs are normalized in the range [0, 1]....
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...The three indexes: PC, NPC and PBMF are maximum type, while the other seven indexes are minimum type....
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...i=1 Where cvii is one of the following ten cluster validity indexes (CVIs): PC [11], NPC [12], PE [13], NPE [14], XB [15], VK [16], PBMF [17], FS [18], VT [19] and SC [20]....
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