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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| Format: | Article |
| Language: | English |
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American Institute of Physics
2014
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| Online Access: | http://irep.iium.edu.my/38062/ http://irep.iium.edu.my/38062/1/Generalizations_of_Fuzzy_Linguistic_Control_Points_in_Geometric_Design.pdf |
| _version_ | 1848781530937163776 |
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| 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. |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T15:51:02Z |
| format | Article |
| id | iium-38062 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:51:02Z |
| publishDate | 2014 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| 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 |
| title | 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_short | Generalizations of fuzzy linguistic control points in geometric design |
| title_sort | generalizations of fuzzy linguistic control points in geometric design |
| topic | TA Engineering (General). Civil engineering (General) |
| 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 |