Summary

International Symposium on Nonlinear Theory and its Applications

2005

Session Number:2-1-5

Session:

Number:2-1-5-4

Fuzzy c-Means for Data with Tolerance

Yasunori Endo,  Ryuichi Murata,  Hideyuki Haruyama,  Sadaaki Miyamoto,  

pp.345-348

Publication Date:2005/10/18

Online ISSN:2188-5079

DOI:10.34385/proc.40.2-1-5-4

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Summary:
In this paper, two new clustering algorithms are proposed, which are based on the entropy regularized fuzzy c-means and can treat data with some errors. The first, the tolerance which means the permissible range of the error is introduced into optimization problems which relate with clustering, and formulated. The next, the problems are solved using Kuhn-Tucker conditions. The last, the algorithms are constructed based on the results of solving the problems.