# A new validity measure for fuzzy c-means clustering

arXiv: https://arxiv.org/abs/2407.06774 · HTML: https://mlsanity.com/paper/2407.06774/

## Key facts

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- First posted on arXiv 9 Jul 2024.

## Abstract (arXiv)

A new cluster validity index is proposed for fuzzy clusters obtained from fuzzy c-means algorithm. The proposed validity index exploits inter-cluster proximity between fuzzy clusters. Inter-cluster proximity is used to measure the degree of overlap between clusters. A low proximity value refers to well-partitioned clusters. The best fuzzy c-partition is obtained by minimizing inter-cluster proximity with respect to c. Well-known data sets are tested to show the effectiveness and reliability of the proposed index.