Title :
Hybrid objective function of Fuzzy c-Varieties and cross-shape fuzzy cluster extraction
Author :
Yoshida, Daisuke ; Honda, Katsuhiro ; Notsu, Akira ; Ichihashi, Hidetomo
Author_Institution :
Dept. of Comput. Sci. & Intell. Syst., Osaka Prefecture Univ., Sakai, Japan
Abstract :
This paper proposes an FCM-type clustering method for capturing cross-shape fuzzy clusters in multi-dimensional data spaces. The proposed objective function is a combination of Fuzzy c-Varieties (FCV) and cross-shape cluster extraction in 2-D space, which is an extended linear fuzzy clustering model with local coordinate rotation. FCV is responsible for finding 2-D planes, on which cross-shape prototypes exist. Each prototypical cross is estimated on the FCV prototypes. Fuzzy memberships are updated using a combined clustering criterion of distances between data samples and FCV prototypes and measures for linear clustering on the FCV prototypes with local coordinate rotation.
Keywords :
data handling; fuzzy set theory; pattern clustering; statistical analysis; 2D plane finding; 2D space; FCM-type clustering method; FCV prototype; cross shape fuzzy cluster extraction; cross shape prototype; data sample; extended linear fuzzy clustering model; fuzzy c-variety; fuzzy memberships; hybrid objective function; linear clustering; local coordinate rotation; multidimensional data space; Clustering algorithms; Data mining; Fuzzy systems; Principal component analysis; Prototypes; Shape; Vectors; co-clustering; collaborative filtering; principal component analysis;
Conference_Titel :
Fuzzy Systems (FUZZ), 2011 IEEE International Conference on
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-7315-1
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2011.6007508
