Improved fuzzy partitions for fuzzy regression models

International Journal of Approximate Reasoning

Volumn 32, Issue 2-3, 2003, Pages 85-102

  Höppner, Frank ^a   Klawonn, Frank ^a  

^a UNIVERSITY OF APPLIED SCIENCES   (Germany)

Author keywords

Fuzzy clustering; Fuzzy minimum function; Fuzzy regression; K Means; Takagi Sugeno model; Voronoi diagram

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DATA PROCESSING; FUNCTIONS; KNOWLEDGE BASED SYSTEMS;

FUZZY CLUSTERING ALGORITHMS;

FUZZY SETS;

EID: 0037308031     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0888-613X(02)00078-6     Document Type: Article

References (10)

1. Bezdek J.C. A convergence theorem for the fuzzy ISODATA clustering algorithms. IEEE Trans. Pattern Anal. Machine Intell. 2(1):1980;1-8.
2. J. Casillas, O. Cordón, F. Herrera, and L. Magdalena (Eds.), Trade-off between accuracy and interpretability in fuzzy rule-based modelling. Studies in fuzziness and soft computing, Physica (to appear).
3. Chen J.-Q., Xi Y.-G., Zhang Z.-J. A clustering algorithm for fuzzy model identification. Fuzzy Sets and Systems. 98:1998;319-329.
4. Davé R.N., Krishnapuram R. Robust clustering methods: a unified view. IEEE Trans. Fuzzy Systems. 5(2):1997;270-293.
5. Gustafson D.E., Kessel W.C. Fuzzy clustering with a fuzzy covariance matrix. Proceedings of the IEEE Conference on Decision and Control. 1979;761-766.
6. Hathaway R.J., Bezdek J.C. Switching regression models and fuzzy clustering. IEEE Trans. Fuzzy Systems. 1(3):1993;195-204.
7. Höppner F. Fuzzy shell clustering algorithms in image processing: fuzzy c-rectangular and 2-rectangular shells. IEEE Trans. Fuzzy Systems. 5(4):1997;599-613.
8. Höppner F., Klawonn F. Obtaining interpretable fuzzy models from fuzzy clustering and fuzzy regression. Proceedings of the 4th International Conference on Knowledge-Based Intelligent Engineering Systems & Allied Technologies, Brighton, UK. August 2000;162-165.
9. Höppner F., Klawonn F., Kruse R., Runkler T.A. Fuzzy Cluster Analysis. 1999;Wiley, Chichester, England, UK.
10. Runkler T.A., Bezdek J.C. Alternating cluster estimation: a new tool for clustering and function approximation. IEEE Trans. Fuzzy Systems. 7(4):1999;377-393.