Abstract
This paper discusses one variation of the fuzzy ART architecture, referred to as fuzzy ART variant. The fuzzy ART variant is a fuzzy ART algorithm, with a very large value for the choice parameter. Based on the geometrical interpretation of templates in fuzzy ART we present and prove useful properties of learning pertaining to the fuzzy ART variant. One of these properties of learning establishes an upper bound on the number of list presentations required by the fuzzy ART variant to learn an arbitrary list of input patterns presented to it. In previously published work, it was shown that the fuzzy ART variant performs as well as a fuzzy ART algorithm with more typical values for the choice parameter. Hence, the fuzzy ART variant is as good a clustering machine as the fuzzy ART algorithm using more typical values of the choice parameter.
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