Cluster validity for fuzzy criterion clustering |
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Authors: | A. O. EsogbueBaoding Liu |
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Affiliation: | School of Industrial and Systems Engineering Georgia Institute of Technology, Atlanta, GA 30332, U.S.A.;Department of Applied Mathematics Tsinghua University, Beijing 100084, P.R. China |
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Abstract: | In this paper, we define a validity measure for fuzzy criterion clustering which is a novel approach to fuzzy clustering that in addition to being non-distance-based, addresses the cluster validity problem. The model is then recast as a bilevel fuzzy criterion clustering problem. We propose an algorithm for this model that solves both the validity and clustering problems. Our approach is validated via some sample problems. |
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Keywords: | Fuzzy clustering Fuzzy criterion Fuzzy prototype Cluster validity Multilevel programming |
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