Singular value-based reduction of fuzzy rule base with non-singleton support

Yeung Yam, P. Baranyi, Chi Tin Yang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper applies a recently introduced singular value-based method for the reduction of fuzzy rule base with non-singleton support. The method characterizes membership functions by the conditions of sum normalization (SN), non-negativeness (NN), and Normality (NO), and conducts singular value decomposition on a matrix comprising of rule consequents and support factors. The singular values serve to indicate the important components to keep, and the orthogonal matrices can be tailored to yield linear combinations to form membership functions for the reduced set. Membership functions as obtained generally satisfy the SN and NN conditions but not the NO, in which case close-to-NO solution would be adopted.

Original languageEnglish
Title of host publicationProceedings of the American Control Conference
PublisherIEEE
Pages2325-2329
Number of pages5
Volume4
Publication statusPublished - 1999
EventProceedings of the 1999 American Control Conference (99ACC) - San Diego, CA, USA
Duration: Jun 2 1999Jun 4 1999

Other

OtherProceedings of the 1999 American Control Conference (99ACC)
CitySan Diego, CA, USA
Period6/2/996/4/99

Fingerprint

Fuzzy rules
Membership functions
Singular value decomposition

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Yam, Y., Baranyi, P., & Yang, C. T. (1999). Singular value-based reduction of fuzzy rule base with non-singleton support. In Proceedings of the American Control Conference (Vol. 4, pp. 2325-2329). IEEE.

Singular value-based reduction of fuzzy rule base with non-singleton support. / Yam, Yeung; Baranyi, P.; Yang, Chi Tin.

Proceedings of the American Control Conference. Vol. 4 IEEE, 1999. p. 2325-2329.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yam, Y, Baranyi, P & Yang, CT 1999, Singular value-based reduction of fuzzy rule base with non-singleton support. in Proceedings of the American Control Conference. vol. 4, IEEE, pp. 2325-2329, Proceedings of the 1999 American Control Conference (99ACC), San Diego, CA, USA, 6/2/99.
Yam Y, Baranyi P, Yang CT. Singular value-based reduction of fuzzy rule base with non-singleton support. In Proceedings of the American Control Conference. Vol. 4. IEEE. 1999. p. 2325-2329
Yam, Yeung ; Baranyi, P. ; Yang, Chi Tin. / Singular value-based reduction of fuzzy rule base with non-singleton support. Proceedings of the American Control Conference. Vol. 4 IEEE, 1999. pp. 2325-2329
@inproceedings{fb7772681c0140faab7ba4c8f10f34ae,
title = "Singular value-based reduction of fuzzy rule base with non-singleton support",
abstract = "This paper applies a recently introduced singular value-based method for the reduction of fuzzy rule base with non-singleton support. The method characterizes membership functions by the conditions of sum normalization (SN), non-negativeness (NN), and Normality (NO), and conducts singular value decomposition on a matrix comprising of rule consequents and support factors. The singular values serve to indicate the important components to keep, and the orthogonal matrices can be tailored to yield linear combinations to form membership functions for the reduced set. Membership functions as obtained generally satisfy the SN and NN conditions but not the NO, in which case close-to-NO solution would be adopted.",
author = "Yeung Yam and P. Baranyi and Yang, {Chi Tin}",
year = "1999",
language = "English",
volume = "4",
pages = "2325--2329",
booktitle = "Proceedings of the American Control Conference",
publisher = "IEEE",

}

TY - GEN

T1 - Singular value-based reduction of fuzzy rule base with non-singleton support

AU - Yam, Yeung

AU - Baranyi, P.

AU - Yang, Chi Tin

PY - 1999

Y1 - 1999

N2 - This paper applies a recently introduced singular value-based method for the reduction of fuzzy rule base with non-singleton support. The method characterizes membership functions by the conditions of sum normalization (SN), non-negativeness (NN), and Normality (NO), and conducts singular value decomposition on a matrix comprising of rule consequents and support factors. The singular values serve to indicate the important components to keep, and the orthogonal matrices can be tailored to yield linear combinations to form membership functions for the reduced set. Membership functions as obtained generally satisfy the SN and NN conditions but not the NO, in which case close-to-NO solution would be adopted.

AB - This paper applies a recently introduced singular value-based method for the reduction of fuzzy rule base with non-singleton support. The method characterizes membership functions by the conditions of sum normalization (SN), non-negativeness (NN), and Normality (NO), and conducts singular value decomposition on a matrix comprising of rule consequents and support factors. The singular values serve to indicate the important components to keep, and the orthogonal matrices can be tailored to yield linear combinations to form membership functions for the reduced set. Membership functions as obtained generally satisfy the SN and NN conditions but not the NO, in which case close-to-NO solution would be adopted.

UR - http://www.scopus.com/inward/record.url?scp=0033285437&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033285437&partnerID=8YFLogxK

M3 - Conference contribution

VL - 4

SP - 2325

EP - 2329

BT - Proceedings of the American Control Conference

PB - IEEE

ER -