11 May 1994 Fuzzy cluster validity in magnetic resonance images
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Abstract
Individual cluster validation has not received as much attention as partition validation. This paper presents two measures for evaluating individual clusters in a fuzzy partition. They both account for properties of the fuzzy memberships as well as the structure of the data. The first measure is a ratio between compactness and separation of the fuzzy clusters; the second is based on counting a contradiction between properties of the fuzzy memberships and the stucture of the data. These two measures are applied and compared in evaluating fuzzy clusters generated by the fuzzy c-means algorithm for segmentation of magnetic resonance images of the brain.
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Amine M. Bensaid, Lawrence O. Hall, James C. Bezdek, Laurence P. Clarke, "Fuzzy cluster validity in magnetic resonance images", Proc. SPIE 2167, Medical Imaging 1994: Image Processing, (11 May 1994); doi: 10.1117/12.175079; https://doi.org/10.1117/12.175079
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