2001 Volume 13 Issue 6 Pages 689-698
The aim of the present paper is to discuss L_1 based fuzzy c-means for fazzy data. Data unit is supposed to be Cartesian product of triangular type fuzzy numbers. The norm between a fuzzy data and a cluster center is defined using Maximum and Minimum Distances. Fuzzy c-means algorithm is an alternate optimization procedure of the cluster centers and the memberships, where the solution of cluster centers for fuzzzy data can not be obtained directly. The algorithms based on L_1 metric for the solution of cluster centers are developed in this paper. Using these algorithms, exact alternate optimization procedure is obtained. Numerical examples show that the results for the data with uncertainties are different from the results for the data without uncertainties.
