Clustering by fuzzy neural gas and evaluation of fuzzy clusters

Authors:
Tina Geweniger;Lydia Fischer;Marika Kaden;Mandy Lange;Thomas Villmann
Affiliations:
Computational Intelligence Group, University of Applied Sciences Mittweida, Mittweida, Germany;Computational Intelligence Group, University of Applied Sciences Mittweida, Mittweida, Germany;Computational Intelligence Group, University of Applied Sciences Mittweida, Mittweida, Germany;Computational Intelligence Group, University of Applied Sciences Mittweida, Mittweida, Germany;Computational Intelligence Group, University of Applied Sciences Mittweida, Mittweida, Germany
Venue:
Computational Intelligence and Neuroscience
Year:
2013

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Abstract

We consider some modifications of the neural gas algorithm. First, fuzzy assignments as known from fuzzy c-means and neighborhood cooperativeness as known from self-organizing maps and neural gas are combined to obtain a basic Fuzzy Neural Gas. Further, a kernel variant and a simulated annealing approach are derived. Finally, we introduce a fuzzy extension of the ConnIndex to obtain an evaluation measure for clusterings based on fuzzy vector quantization.