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Theoretical examination of clustering structure in fuzzy joint points method

The Fuzzy Joint Points (FJP) method which comprehends fuzziness in a level-based point of view is handled. At each iteration of the clustering process, unlike the classical fuzzy clustering in which the membership degrees of the points to the clusters are determined, the points which constitute the α-level sets are determined in FJP algorithm. In this study, some theoretical results are given for the analysis of the cluster structure.