Hello, please i need to know how to compute the intra-cluster density or quality for fuzzy clusters ?

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Dhanalakshmi Krishnan Sadhasivan

An example of a simple intra- cluster density method which works well in most databases is the proportional reduction in error (PRE) method. PRE is

the ratio of reduction in the sum of squares to the previous sum of squares

when comparing the results of using K + 1 clusters to the results of using K

clusters. Increasing the number of clusters by 1 is justified for PRE rates of

about 0.4 or larger

Oleksii Tyshchenko

There are some popular clustering validity measures:

Partition Coeffcient (PC)

Classiffcation Entropy (CE)

Partition Index (SC)

Separation Index (S)

Xie and Beni's Index (XB)

Dunn's Index (DI)

Alternative Dunn Index (ADI).

You should try one of them.

Ali Chaibakhsh

see these papers:

Wu, Kuo-Lung, and Miin-Shen Yang. "A cluster validity index for fuzzy clustering." Pattern Recognition Letters 26.9 (2005): 1275-1291.

Wang, Weina, and Yunjie Zhang. "On fuzzy cluster validity indices." Fuzzy sets and systems 158.19 (2007): 2095-2117.

Žalik, Krista Rizman. "Cluster validity index for estimation of fuzzy clusters of different sizes and densities." Pattern Recognition 43.10 (2010): 3374-3390.