Towards Fuzzy-Hard Clustering Mapping Processes

Details Towards Fuzzy-Hard Clustering Mapping Processes Towards Fuzzy-Hard Clustering Mapping Processes

2012-04-14

arxiv.org/abs/1204.3224v1

Advances in Fuzzy Sets and Systems, Volume 9, Number 1, 2011, pp. 37-63, 2011

Computer Science

Other Computer Science

22 pages, 6 Tables

Scientific paper

Although the validation step can appear crucial in the case of clustering adopting fuzzy approaches, the problem of the partition validity obtained by those adopting the hard ones was not tackled. To cure this problem, we propose in this paper fuzzy-hard mapping processes of clustering while benefitting from those adopting the fuzzy case. These mapping processes concern: (1) local and global clustering evaluation measures: the first for the detection of the "worst" clusters to merging or splitting them. The second relates to the evaluation of the obtained partition for each iteration, (2) merging and splitting processes taking into account the proposed measures, and (3) automatic clustering algorithms implementing these new concepts.

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