Complex uncertainty of surface data modeling via the type-2 fuzzy B-spline model

Rozaimi Zakaria and Abd. Fatah Wahab and Isfarita Ismail and Mohammad Izat Emir Zulkifly (2021) Complex uncertainty of surface data modeling via the type-2 fuzzy B-spline model. Mathematics, 9. pp. 1-19. ISSN 2227-7390

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This paper discusses the construction of a type-2 fuzzy B-spline model to model complex uncertainty of surface data. To construct this model, the type-2 fuzzy set theory, which includes type-2 fuzzy number concepts and type-2 fuzzy relation, is used to define the complex uncertainty of surface data in type-2 fuzzy data/control points. These type-2 fuzzy data/control points are blended with the B-spline surface function to produce the proposed model, which can be visualized and analyzed further. Various processes, namely fuzzification, type-reduction and defuzzification are defined to achieve a crisp, type-2 fuzzy B-spline surface, representing uncertainty complex surface data. This paper ends with a numerical example of terrain modeling, which shows the effectiveness of handling the uncertainty complex data.

Item Type: Article
Keyword: Type-2 fuzzy set , Fuzzification , Type-reduction , Defuzzification , B-spline surface model function
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics
Department: FACULTY > Faculty of Science and Natural Resources
Depositing User: DG MASNIAH AHMAD -
Date Deposited: 28 Oct 2022 15:11
Last Modified: 28 Oct 2022 15:11

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