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...

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Main Authors: Abd. Fatah Wahab, Jamaludin Md. Ali, Ahmad Abd. Majid, Abu Osman Md. Tap
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2010
Online Access:http://journalarticle.ukm.my/7387/
http://journalarticle.ukm.my/7387/
http://journalarticle.ukm.my/7387/1/01_Md_Yeaminhossain.pdf
id ukm-7387
recordtype eprints
spelling ukm-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
repository_type Digital Repository
institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
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.
format Article
author Abd. Fatah Wahab,
Jamaludin Md. Ali,
Ahmad Abd. Majid,
Abu Osman Md. Tap,
spellingShingle Abd. Fatah Wahab,
Jamaludin Md. Ali,
Ahmad Abd. Majid,
Abu Osman Md. Tap,
Solving problems of uncertain data using fuzzy B-spline
author_facet Abd. Fatah Wahab,
Jamaludin Md. Ali,
Ahmad Abd. Majid,
Abu Osman Md. Tap,
author_sort Abd. Fatah Wahab,
title Solving problems of uncertain data using fuzzy B-spline
title_short 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_sort solving problems of uncertain data using fuzzy b-spline
publisher Universiti Kebangsaan Malaysia
publishDate 2010
url http://journalarticle.ukm.my/7387/
http://journalarticle.ukm.my/7387/
http://journalarticle.ukm.my/7387/1/01_Md_Yeaminhossain.pdf
first_indexed 2023-09-18T19:49:34Z
last_indexed 2023-09-18T19:49:34Z
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