EVELOPMENT OF NON-UNIFORM RATIONAL TYPE-2 FUZZY B-SPLINE CURVE MODELING

Autor:	Mohammad Izat Emir Zulkifly, Lim Kah Yong, Abd. Fatah Wahab
Rok vydání:	2020
Předmět:	Reduction (complexity) Mathematical optimization Mathematics::General Mathematics Fuzzy set General Earth and Planetary Sciences Fuzzy number Point (geometry) Fuzzy control system Type (model theory) Fuzzy logic Defuzzification General Environmental Science Mathematics
Zdroj:	Advances in Differential Equations and Control Processes. 23:261-277
ISSN:	0974-3243
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::832aa53b43520f6ebfeccb42a69cf40a https://doi.org/10.17654/de023020261 Zobrazit plný text záznamu