FLIC: Fuzzy Linear Invariant Clustering for applications in fuzzy control
Document Type
Conference Proceeding
Publication Date
12-1-1994
Abstract
We present a new method for fuzzy clustering which is useful for deriving Takagi-Sugeno type rules `if x is Ak, then y = gk(x)'. Unlike the previous works, where the c-means algorithm is used first to form clusters with a single point center and then gk(x)'s are formed separately for each cluster, we form the clusters and their more general representative gk(x)'s simultaneously. The rules obtained by our method give 50% smaller error in predicting y from x than that obtained by the previous methods. The clusters obtained by our method are invariant under general linear transformations: translation, rotation, and differential scaling of the coordinates. The clusters obtained by the c-means algorithm are not invariant under differential scaling.
First Page
196
Last Page
200
Recommended Citation
Kundu, S., & Chen, J. (1994). FLIC: Fuzzy Linear Invariant Clustering for applications in fuzzy control., 196-200. Retrieved from https://repository.lsu.edu/eecs_pubs/2439