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Development of non-uniform rational type-2 fuzzy B-spline curve modeling

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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