Fuzzy Controllers Design Using Space-Filling Curves

In this paper we present a clustering technique for fuzzy rules based on Hilbert Space-filling Curves (SFC). SFC scans an n-dimensional space and reduces it to a curve, i.e. a one-dimensional line. The paper introduces first the Hilber Space-filling curves, and outlines algorithms for clustering and...

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Main Author: Elshafei-Ahmed, M (author)
Other Authors: Ahmed, MS (author), unknown (author)
Format: article
Published: 2020
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Online Access:https://eprints.kfupm.edu.sa/id/eprint/2488/1/fuzzy_controllers_design_using_space_fil_elshafei_ahmed_isip_000075568200392.doc
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author Elshafei-Ahmed, M
author2 Ahmed, MS
unknown
author2_role author
author
author_facet Elshafei-Ahmed, M
Ahmed, MS
unknown
author_role author
dc.creator.none.fl_str_mv Elshafei-Ahmed, M
Ahmed, MS
unknown
dc.date.*.fl_str_mv 2020
dc.format.none.fl_str_mv application/msword
dc.identifier.none.fl_str_mv https://eprints.kfupm.edu.sa/id/eprint/2488/1/fuzzy_controllers_design_using_space_fil_elshafei_ahmed_isip_000075568200392.doc
Fuzzy Controllers Design Using Space-Filling Curves. I E E E, PROCEEDINGS OF THE 1998 AMERICAN CONTROL CONFERENCE, 1-6. pp. 1855-1859.
dc.language.none.fl_str_mv en
dc.publisher.none.fl_str_mv I E E E
dc.relation.none.fl_str_mv https://eprints.kfupm.edu.sa/id/eprint/2488/
dc.rights.*.fl_str_mv info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Systems
dc.title.none.fl_str_mv Fuzzy Controllers Design Using Space-Filling Curves
dc.type.none.fl_str_mv Article
PeerReviewed
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description In this paper we present a clustering technique for fuzzy rules based on Hilbert Space-filling Curves (SFC). SFC scans an n-dimensional space and reduces it to a curve, i.e. a one-dimensional line. The paper introduces first the Hilber Space-filling curves, and outlines algorithms for clustering and adaptive clustering which demonstrate the SFC efficient self-organizing features. We then propose a SFC fuzzy inference model based on clustering the object space. The SFC fuzzy model is then used to design a fuzzy controller. The proposed method achieves a dramatic reduction of the complexity of fuzzy controller by reducing the multivariable fuzzification problem to a one dimentional space.
eu_rights_str_mv openAccess
format article
id KFUPM_f72b34be5403e169950aeac8873cc817
identifier_str_mv Fuzzy Controllers Design Using Space-Filling Curves. I E E E, PROCEEDINGS OF THE 1998 AMERICAN CONTROL CONFERENCE, 1-6. pp. 1855-1859.
language_invalid_str_mv en
network_acronym_str KFUPM
network_name_str King Fahd University of Petroleum and Minerals
oai_identifier_str oai::2488
publishDate 2020
publisher.none.fl_str_mv I E E E
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spelling Fuzzy Controllers Design Using Space-Filling CurvesElshafei-Ahmed, MAhmed, MSunknownSystemsIn this paper we present a clustering technique for fuzzy rules based on Hilbert Space-filling Curves (SFC). SFC scans an n-dimensional space and reduces it to a curve, i.e. a one-dimensional line. The paper introduces first the Hilber Space-filling curves, and outlines algorithms for clustering and adaptive clustering which demonstrate the SFC efficient self-organizing features. We then propose a SFC fuzzy inference model based on clustering the object space. The SFC fuzzy model is then used to design a fuzzy controller. The proposed method achieves a dramatic reduction of the complexity of fuzzy controller by reducing the multivariable fuzzification problem to a one dimentional space.I E E EArticlePeerReviewedinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/mswordhttps://eprints.kfupm.edu.sa/id/eprint/2488/1/fuzzy_controllers_design_using_space_fil_elshafei_ahmed_isip_000075568200392.doc Fuzzy Controllers Design Using Space-Filling Curves. I E E E, PROCEEDINGS OF THE 1998 AMERICAN CONTROL CONFERENCE, 1-6. pp. 1855-1859. enhttps://eprints.kfupm.edu.sa/id/eprint/2488/2020info:eu-repo/semantics/openAccessoai::24882019-11-01T13:44:24Z
spellingShingle Fuzzy Controllers Design Using Space-Filling Curves
Elshafei-Ahmed, M
Systems
status_str publishedVersion
title Fuzzy Controllers Design Using Space-Filling Curves
title_full Fuzzy Controllers Design Using Space-Filling Curves
title_fullStr Fuzzy Controllers Design Using Space-Filling Curves
title_full_unstemmed Fuzzy Controllers Design Using Space-Filling Curves
title_short Fuzzy Controllers Design Using Space-Filling Curves
title_sort Fuzzy Controllers Design Using Space-Filling Curves
topic Systems
url https://eprints.kfupm.edu.sa/id/eprint/2488/1/fuzzy_controllers_design_using_space_fil_elshafei_ahmed_isip_000075568200392.doc