Solving problems of uncertain data using fuzzy B-spline
The construction of a geometric model in Computer Aided Geometrical Design (CAGD) with uncertain data points are difficult and challenging. In this paper, the construction of a fuzzy B-spline model as a mathematical representation for the curve of uncertain data using fuzzy control points and deffuz...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2010
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| Online Access: | http://journalarticle.ukm.my/7387/ http://journalarticle.ukm.my/7387/1/01_Md_Yeaminhossain.pdf |
| _version_ | 1848811465560031232 |
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| author | Abd. Fatah Wahab, Jamaludin Md. Ali, Ahmad Abd. Majid, Abu Osman Md. Tap, |
| author_facet | Abd. Fatah Wahab, Jamaludin Md. Ali, Ahmad Abd. Majid, Abu Osman Md. Tap, |
| author_sort | Abd. Fatah Wahab, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | The construction of a geometric model in Computer Aided Geometrical Design (CAGD) with uncertain data points are difficult and challenging. In this paper, the construction of a fuzzy B-spline model as a mathematical representation for the curve of uncertain data using fuzzy control points and deffuzified control points is discussed. Cubic fuzzy B-spline or defuzzified B-spline curve for uncertainty data problems will be described using the cubic fuzzy B-spline approximation methods which are defined through fuzzy and defuzzification control points. For solving uncertain data, a method of fuzzification and defuzzification of component fuzzy (defuzzify) data point together with their model was introduced. For testing the effectiveness of the model, several examples of curve simulation of the given data are also discussed. |
| first_indexed | 2025-11-14T23:46:50Z |
| format | Article |
| id | oai:generic.eprints.org:7387 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:46:50Z |
| publishDate | 2010 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:73872016-12-14T06:43:55Z http://journalarticle.ukm.my/7387/ Solving problems of uncertain data using fuzzy B-spline Abd. Fatah Wahab, Jamaludin Md. Ali, Ahmad Abd. Majid, Abu Osman Md. Tap, The construction of a geometric model in Computer Aided Geometrical Design (CAGD) with uncertain data points are difficult and challenging. In this paper, the construction of a fuzzy B-spline model as a mathematical representation for the curve of uncertain data using fuzzy control points and deffuzified control points is discussed. Cubic fuzzy B-spline or defuzzified B-spline curve for uncertainty data problems will be described using the cubic fuzzy B-spline approximation methods which are defined through fuzzy and defuzzification control points. For solving uncertain data, a method of fuzzification and defuzzification of component fuzzy (defuzzify) data point together with their model was introduced. For testing the effectiveness of the model, several examples of curve simulation of the given data are also discussed. Universiti Kebangsaan Malaysia 2010-08 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7387/1/01_Md_Yeaminhossain.pdf Abd. Fatah Wahab, and Jamaludin Md. Ali, and Ahmad Abd. Majid, and Abu Osman Md. Tap, (2010) Solving problems of uncertain data using fuzzy B-spline. Sains Malaysiana, 39 (4). pp. 661-670. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol39num4_2010/contentsVol39num4_2010.html |
| spellingShingle | Abd. Fatah Wahab, Jamaludin Md. Ali, Ahmad Abd. Majid, Abu Osman Md. Tap, Solving problems of uncertain data using fuzzy B-spline |
| title | Solving problems of uncertain data using fuzzy B-spline |
| title_full | Solving problems of uncertain data using fuzzy B-spline |
| title_fullStr | Solving problems of uncertain data using fuzzy B-spline |
| title_full_unstemmed | Solving problems of uncertain data using fuzzy B-spline |
| title_short | Solving problems of uncertain data using fuzzy B-spline |
| title_sort | solving problems of uncertain data using fuzzy b-spline |
| url | http://journalarticle.ukm.my/7387/ http://journalarticle.ukm.my/7387/ http://journalarticle.ukm.my/7387/1/01_Md_Yeaminhossain.pdf |