A study on a generalized FCM

Authors:
Jian Yu;Miin-Shen Yang
Affiliations:
Dept. of Computer Science & Technology, Northern Jiaotong University, Beijing;Dept. of Applied Mathematics, Chung Yuan Christian University, Chungli, Taiwan
Venue:
RSFDGrC'03 Proceedings of the 9th international conference on Rough sets, fuzzy sets, data mining, and granular computing
Year:
2003

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Abstract

In this paper, we unify several alternative FCM algorithms, including the FCM, PFCM, CFCM, PIM, ICS, etc, into one model, called a generalized fuzzy c-means (GFCM). This GFCM model presents a wide variation of FCM algorithms. We discover that the pseudo mass center of the data set is the fixed point of the GFCM under mild conditions. By judging the stability of the fixed point of the GFCM, we give a new approach to theoretically choosing the parameters in the GFCM model.