Title:
METHOD AND ARRANGEMENT FOR COMPUTER-ASSISTED DETERMINATION OF A MEMBERSHIP FUNCTION
Document Type and Number:
WIPO Patent Application WO1999048017
Kind Code:
A3
Abstract:
The invention relates to a method and an arrangement for computer-assisted determination of a membership function for a data point in an selected cluster in a predetermined space. The membership function describes the membership of the data point in the selected cluster. Clustering using predetermined data points is carried out in the inventive method that enables at least three clusters to be determined. An associated cluster center is determined for each cluster. The membership function is determined depending on the distances between the selected cluster centers to the cluster center closest to the selected cluster centers.
Inventors:
LANG BERNHARD (DE)
POPPE THOMAS (DE)
POPPE THOMAS (DE)
Application Number:
PCT/DE1999/000525
Publication Date:
November 04, 1999
Filing Date:
February 26, 1999
Export Citation:
Assignee:
SIEMENS AG (DE)
LANG BERNHARD (DE)
POPPE THOMAS (DE)
LANG BERNHARD (DE)
POPPE THOMAS (DE)
International Classes:
G05B13/02; G06F7/02; G06F9/44; G06V10/75; G06F17/00; G06N3/00; G06N7/02; B21B37/00; (IPC1-7): G06F7/00; G05B13/02
Foreign References:
| US5422984A | 1995-06-06 |
Other References:
LI-XIN WANG: "TRAINING OF FUZZY LOGIC SYSTEMS USING NEAREST NEIGHBORHOOD CLUSTERING", PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, SAN FRANCISCO, MAR. 28 - APR. 1, 1993, vol. 1, no. CONF. 2, 28 March 1993 (1993-03-28), INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, pages 13 - 17, XP000371401, ISBN: 0-7803-0614-7
BLOCH G ET AL: "NEURAL INTELLIGENT CONTROL FOR A STEEL PLANT", IEEE TRANSACTIONS ON NEURAL NETWORKS, vol. 8, no. 4, 1 July 1997 (1997-07-01), pages 910 - 918, XP000656479, ISSN: 1045-9227
HANSS M: "EINE METHODE ZUR IDENTIFIKATION VON FUZZY-MODELLEN", AUTOMATISIERUNGSTECHNIK - AT, vol. 44, no. 2, 1 February 1996 (1996-02-01), pages 71 - 78, XP000551820, ISSN: 0178-2312
MITRA S ET AL: "SELF-ORGANIZING NEURAL NETWORK AS A FUZZY CLASSIFIER", IEEE TRANSACTIONS ON SYSTEMS, MAN AND CYBERNETICS, vol. 24, no. 3, 1 March 1994 (1994-03-01), pages 385 - 399, XP000440873, ISSN: 0018-9472
HALGAMUGE S K ET AL: "A NEW METHOD FOR GENERATING FUZZY CLASSIFICATION SYSTEMS USING RBF NEURONS WITH EXTENDED RCE LEARNING", INTERNATIONAL CONFERENCE ON NEURAL NETWORKS/ WORLD CONGRESS ON COMPUTATIONAL INTELLIGENCE, ORLANDO, JUNE 27 - 29, 1994, vol. 3, 27 June 1994 (1994-06-27), INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, pages 1589 - 1594, XP000503876, ISBN: 0-7803-1902-8
CHO K B ET AL: "RADIAL BASIS FUNCTION BASED ADAPTIVE FUZZY SYSTEMS AND THEIR APPLICATIONS TO SYSTEM IDENTIFICATION AND PREDICTION", FUZZY SETS AND SYSTEMS, vol. 83, no. 3, 11 November 1996 (1996-11-11), pages 325 - 339, XP000628391, ISSN: 0165-0114
HE S Z ET AL: "DESIGN OF AN ON-LINE RULE-ADAPTIVE FUZZY CONTROL SYSTEM", PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, SAN DIEGO, MAR. 8 - 12, 1992, no. CONF. 1, 8 March 1992 (1992-03-08), INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, pages 83 - 91, XP000342866
M. SCHLANG ET AL: "Neural Networks for Steel Manifacturing", IEEE EXPERT, IEEE PRESS, vol. 11, no. 4, August 1996 (1996-08-01), USA, pages 8 - 9, XP002114317, Retrieved from the Internet [retrieved on 19990903]
FU LAI CHUNG ET AL: "A Fuzzy Learning Model for Membership Function Estimation and Pattern Classification", PROCEEDINGS OF THE THIRD CONFERENCE ON FUZZY SYSTEMS, IEEE PRESS USA, vol. 1, 26 June 1994 (1994-06-26) - 29 June 1994 (1994-06-29), Orlando, FL, USA, pages 426 - 431, XP002114318, Retrieved from the Internet [retrieved on 19990903]
M.SATO ET AL: "Fuzzy Clustering Model for Fuzzy Data", PROCEEDINGS OF THE 1995 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, IEEE PRESS USA, vol. 4, 20 March 1995 (1995-03-20) - 24 March 1995 (1995-03-24), Yokohama, Japan, pages 2123 - 2128, XP002114319, Retrieved from the Internet [retrieved on 19990903]
BLOCH G ET AL: "NEURAL INTELLIGENT CONTROL FOR A STEEL PLANT", IEEE TRANSACTIONS ON NEURAL NETWORKS, vol. 8, no. 4, 1 July 1997 (1997-07-01), pages 910 - 918, XP000656479, ISSN: 1045-9227
HANSS M: "EINE METHODE ZUR IDENTIFIKATION VON FUZZY-MODELLEN", AUTOMATISIERUNGSTECHNIK - AT, vol. 44, no. 2, 1 February 1996 (1996-02-01), pages 71 - 78, XP000551820, ISSN: 0178-2312
MITRA S ET AL: "SELF-ORGANIZING NEURAL NETWORK AS A FUZZY CLASSIFIER", IEEE TRANSACTIONS ON SYSTEMS, MAN AND CYBERNETICS, vol. 24, no. 3, 1 March 1994 (1994-03-01), pages 385 - 399, XP000440873, ISSN: 0018-9472
HALGAMUGE S K ET AL: "A NEW METHOD FOR GENERATING FUZZY CLASSIFICATION SYSTEMS USING RBF NEURONS WITH EXTENDED RCE LEARNING", INTERNATIONAL CONFERENCE ON NEURAL NETWORKS/ WORLD CONGRESS ON COMPUTATIONAL INTELLIGENCE, ORLANDO, JUNE 27 - 29, 1994, vol. 3, 27 June 1994 (1994-06-27), INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, pages 1589 - 1594, XP000503876, ISBN: 0-7803-1902-8
CHO K B ET AL: "RADIAL BASIS FUNCTION BASED ADAPTIVE FUZZY SYSTEMS AND THEIR APPLICATIONS TO SYSTEM IDENTIFICATION AND PREDICTION", FUZZY SETS AND SYSTEMS, vol. 83, no. 3, 11 November 1996 (1996-11-11), pages 325 - 339, XP000628391, ISSN: 0165-0114
HE S Z ET AL: "DESIGN OF AN ON-LINE RULE-ADAPTIVE FUZZY CONTROL SYSTEM", PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, SAN DIEGO, MAR. 8 - 12, 1992, no. CONF. 1, 8 March 1992 (1992-03-08), INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, pages 83 - 91, XP000342866
M. SCHLANG ET AL: "Neural Networks for Steel Manifacturing", IEEE EXPERT, IEEE PRESS, vol. 11, no. 4, August 1996 (1996-08-01), USA, pages 8 - 9, XP002114317, Retrieved from the Internet
FU LAI CHUNG ET AL: "A Fuzzy Learning Model for Membership Function Estimation and Pattern Classification", PROCEEDINGS OF THE THIRD CONFERENCE ON FUZZY SYSTEMS, IEEE PRESS USA, vol. 1, 26 June 1994 (1994-06-26) - 29 June 1994 (1994-06-29), Orlando, FL, USA, pages 426 - 431, XP002114318, Retrieved from the Internet
M.SATO ET AL: "Fuzzy Clustering Model for Fuzzy Data", PROCEEDINGS OF THE 1995 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, IEEE PRESS USA, vol. 4, 20 March 1995 (1995-03-20) - 24 March 1995 (1995-03-24), Yokohama, Japan, pages 2123 - 2128, XP002114319, Retrieved from the Internet
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