A new validity measure for fuzzy c-means clustering

Published: 2024, Last Modified: 07 Nov 2025CoRR 2024EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: 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.
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