Validating fuzzy partitions obtained through c-shells clustering

Validation of fuzzy partitions induced through c-shells clustering is considered. The classical validity measures based on fuzzy partition alone are shown to be inadequate in capturing the shell sub-structure imposed by the shell clustering algorithm. Therefore, performance measures specifically designed for c-shells clustering are considered. Through examples, the new set of indices are shown to be capable of validating the structure characterized by the shell clustering algorithms. The issues related to classical cluster validity versus individual cluster validity are also discussed.