Function Reference: xie_beni_index

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

To run demonstration code that uses this function, type "demo fcm" or "demo gustafson_kessel" (without the quotation marks) at the Octave prompt.

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