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2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery
A Fuzzy C-means Type Clustering Algorithm on Triangular Fuzzy Numbers
Tianjin, China
August 14-August 16
ISBN: 978-0-7695-3735-1
Fuzzy number type data is a typical class of fuzzy data, and it can be regarded as a general form of the interval data and the crisp data. This paper studies fuzzy clustering algorithm for triangular fuzzy numbers. First of all, we give a novel distance between triangular fuzzy numbers by using three parameters interval number, and prove that the proposed distance is a complete metric on the set of triangular fuzzy numbers. And then, based on this novel distance, we propose two fuzzy c-means type clustering algorithms for dealing with triangular fuzzy numbers. Finally, some numerical examples are provided to illustrate the algorithm’s effectiveness.
Index Terms:
Fuzzy data, Fuzzy c-means clustering, Triangular fuzzy number
Citation:
Rong Lan, Jiu-lun Fan, "A Fuzzy C-means Type Clustering Algorithm on Triangular Fuzzy Numbers," fskd, vol. 3, pp.12-16, 2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery, 2009
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