Improving probabilities in a fuzzy clustering partition

Authors:
J. Soto;A. Flores-Sintas;J. Palarea-Albaladejo
Affiliations:
Dept. Computer Science, Universidad Católica San Antonio, Avda. Los Jerónimos s/n, 30107 Murcia, Spain;Dept. Computer Science, Universidad Católica San Antonio, Avda. Los Jerónimos s/n, 30107 Murcia, Spain;Dept. Computer Science, Universidad Católica San Antonio, Avda. Los Jerónimos s/n, 30107 Murcia, Spain
Venue:
Fuzzy Sets and Systems
Year:
2008

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Abstract

Fuzzy clustering procedures based on the FCM algorithm calculate group membership probabilities or degrees taking into account the distance between objects and group prototypes. This paper seeks to improve the computation of such membership probabilities by a new membership function which also reflects the relative position of an object with respect to each group. By this way, some illogical results are avoided and a convex partition is provided. Finally, numerical examples illustrate the performance of the proposed algorithm.