Wahab, Abd. Fatah and Zulkifly, Mohammad Izat Emir and Lim, Kah Yong (2020) Development of non-uniform rational type-2 fuzzy B-spline curve modeling. Advances in Differential Equations and Control Processes, 23 (2). pp. 261-277. ISSN 0974-3243
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Official URL: http://dx.doi.org/10.17654/DE023020261
Abstract
Type-2 fuzzy set offers an opportunity to define a fuzzy control point with type-2 levels of uncertainty. We discuss the development of non-uniform B-spline curve model based on type-2 fuzzy set theory and also a type-2 level of NURBS curve model. First we define type-2 fuzzy control points and type-2 fuzzy weight using a type-2 fuzzy number. Then we introduce fuzzy NURBS curve model with type-2 fuzzy control points and type-2 fuzzy weight. We discuss the model with type-2 fuzzy data points and type-1 fuzzy reduction. The defuzzification of the model is also discussed at the end of this paper.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | type-2 fuzzy set, type-2 fuzzy control point |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 90204 |
| Deposited By: | Widya Wahid |
| Deposited On: | 31 Mar 2021 06:22 |
| Last Modified: | 31 Mar 2021 06:22 |
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