<journal article>
CLUSTERING BY A FUZZY METRIC : APPLICATIONS TO THE CLUSTER-MEDIAN PROBLEM

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Abstract This paper is the second part of our study of the clustering problem with a fuzzy metric. The fuzzy metric between any two elements will be constructed from the multi-dimensional fuzzy data available ...for each element and our clustering criterion is to minimize the total sum of the fuzzy distances from all the elements in a cluster to its median, called the cluster-median problem. An optimal clustering is concretely sought by applying an interval method by $ alpha $-cuts of monotone fuzzy numbers. Also, a numerical example is given.show more

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Created Date 2009.04.22
Modified Date 2020.10.22

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