Generalizations of fuzzy linguistic control points in geometric design

Control points are geometric primitives that play an important role in designing the geometry curve and surface. When these control points are blended with some basis functions, there are several geometric models such as Bezier, B-spline and NURBS(Non-Uniform Rational B-Spline) will be produced. If...

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Main Authors:	Sallehuddin , M. H., Abdul Rahman, Abdul Wahab, Gobithaasan, R.U.
Format:	Article
Language:	English
Published:	American Institute of Physics 2014
Subjects:	TA Engineering (General). Civil engineering (General)
Online Access:	http://irep.iium.edu.my/38062/ http://irep.iium.edu.my/38062/ http://irep.iium.edu.my/38062/ http://irep.iium.edu.my/38062/1/Generalizations_of_Fuzzy_Linguistic_Control_Points_in_Geometric_Design.pdf

id	iium-38062
recordtype	eprints
spelling	iium-380622014-09-05T09:02:36Z http://irep.iium.edu.my/38062/ Generalizations of fuzzy linguistic control points in geometric design Sallehuddin , M. H. Abdul Rahman, Abdul Wahab Gobithaasan, R.U. TA Engineering (General). Civil engineering (General) Control points are geometric primitives that play an important role in designing the geometry curve and surface. When these control points are blended with some basis functions, there are several geometric models such as Bezier, B-spline and NURBS(Non-Uniform Rational B-Spline) will be produced. If the control points are defined by the theory of fuzzy sets, then fuzzy geometric models are produced. But the fuzzy geometric models can only solve the problem of uncertainty complex. This paper proposes a new definition of fuzzy control points with linguistic terms. When the fuzzy control points with linguistic terms are blended with basis functions, then a fuzzy linguistic geometric model is produced. This paper ends with some numerical examples illustrating linguistic control attributes of fuzzy geometric models. American Institute of Physics 2014 Article PeerReviewed application/pdf en http://irep.iium.edu.my/38062/1/Generalizations_of_Fuzzy_Linguistic_Control_Points_in_Geometric_Design.pdf Sallehuddin , M. H. and Abdul Rahman, Abdul Wahab and Gobithaasan, R.U. (2014) Generalizations of fuzzy linguistic control points in geometric design. AIP Conference Proceedings , 1605. pp. 244-249. ISSN 0094-243X (P), 1551-7616 (O) http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4887596 1063/1.4887887596
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	TA Engineering (General). Civil engineering (General)
spellingShingle	TA Engineering (General). Civil engineering (General) Sallehuddin , M. H. Abdul Rahman, Abdul Wahab Gobithaasan, R.U. Generalizations of fuzzy linguistic control points in geometric design
description	Control points are geometric primitives that play an important role in designing the geometry curve and surface. When these control points are blended with some basis functions, there are several geometric models such as Bezier, B-spline and NURBS(Non-Uniform Rational B-Spline) will be produced. If the control points are defined by the theory of fuzzy sets, then fuzzy geometric models are produced. But the fuzzy geometric models can only solve the problem of uncertainty complex. This paper proposes a new definition of fuzzy control points with linguistic terms. When the fuzzy control points with linguistic terms are blended with basis functions, then a fuzzy linguistic geometric model is produced. This paper ends with some numerical examples illustrating linguistic control attributes of fuzzy geometric models.
format	Article
author	Sallehuddin , M. H. Abdul Rahman, Abdul Wahab Gobithaasan, R.U.
author_facet	Sallehuddin , M. H. Abdul Rahman, Abdul Wahab Gobithaasan, R.U.
author_sort	Sallehuddin , M. H.
title	Generalizations of fuzzy linguistic control points in geometric design
title_short	Generalizations of fuzzy linguistic control points in geometric design
title_full	Generalizations of fuzzy linguistic control points in geometric design
title_fullStr	Generalizations of fuzzy linguistic control points in geometric design
title_full_unstemmed	Generalizations of fuzzy linguistic control points in geometric design
title_sort	generalizations of fuzzy linguistic control points in geometric design
publisher	American Institute of Physics
publishDate	2014
url	http://irep.iium.edu.my/38062/ http://irep.iium.edu.my/38062/ http://irep.iium.edu.my/38062/ http://irep.iium.edu.my/38062/1/Generalizations_of_Fuzzy_Linguistic_Control_Points_in_Geometric_Design.pdf
first_indexed	2023-09-18T20:54:37Z
last_indexed	2023-09-18T20:54:37Z
_version_	1777410221378895872

Generalizations of fuzzy linguistic control points in geometric design

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