Function File: vxb = xie_beni_index (input_data, cluster_centers, soft_partition)

Return the Xie-Beni validity index for a given soft partition.

The arguments to xie_beni_index are:

• input_data - a matrix of input data points; each row corresponds to one point
• cluster_centers - a matrix of cluster centers; each row corresponds to one point
• soft_partition - the membership degree of each input data point in each cluster

The return value is:

• vxb - the Xie-Beni validity index for the given partition

For demos of this function, please type:

demo 'fcm'
demo 'gustafson_kessel'

For more information about the input_data, cluster_centers, and soft_partition matrices, please see the documentation for function fcm.

See also: fcm, gustafson_kessel, partition_coeff, partition_entropy.

Package: fuzzy-logic-toolkit