Generalizations of fuzzy linguistic control points in geometric design

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)

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	6145/38062
Uncontrolled Keywords:	control points, linguistic, spline, uncertainty
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Information and Communication Technology Kulliyyah of Information and Communication Technology
Depositing User:	Prof Abdul Wahab Abdul Rahman
Date Deposited:	05 Sep 2014 17:02
Last Modified:	05 Sep 2014 17:02
URI:	http://irep.iium.edu.my/id/eprint/38062

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