Complex uncertainty of surface data modeling via the type-2 fuzzy B-spline model
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...
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| Format: | Article |
| Language: | English English |
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Multidisciplinary Digital Publishing Institute (MDPI)
2021
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| Online Access: | https://eprints.ums.edu.my/id/eprint/34595/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/34595/2/FULLTEXT.pdf |
| _version_ | 1825715082042015744 |
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| author | Rozaimi Zakaria Abd. Fatah Wahab Isfarita Ismail Mohammad Izat Emir Zulkifly |
| author_facet | Rozaimi Zakaria Abd. Fatah Wahab Isfarita Ismail Mohammad Izat Emir Zulkifly |
| author_sort | Rozaimi Zakaria |
| collection | UMS |
| description | 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. |
| first_indexed | 2024-03-06T03:21:24Z |
| format | Article |
| id | ums.eprints-34595 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:21:24Z |
| publishDate | 2021 |
| publisher | Multidisciplinary Digital Publishing Institute (MDPI) |
| record_format | dspace |
| spelling | ums.eprints-345952022-10-28T07:11:43Z https://eprints.ums.edu.my/id/eprint/34595/ Complex uncertainty of surface data modeling via the type-2 fuzzy B-spline model Rozaimi Zakaria Abd. Fatah Wahab Isfarita Ismail Mohammad Izat Emir Zulkifly QA1-939 Mathematics 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. Multidisciplinary Digital Publishing Institute (MDPI) 2021-05-07 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/34595/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/34595/2/FULLTEXT.pdf 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 https://www.mdpi.com/2227-7390/9/9/1054 https:// doi.org/10.3390/math9091054 https:// doi.org/10.3390/math9091054 |
| spellingShingle | QA1-939 Mathematics Rozaimi Zakaria Abd. Fatah Wahab Isfarita Ismail Mohammad Izat Emir Zulkifly Complex uncertainty of surface data modeling via the type-2 fuzzy B-spline model |
| title | Complex uncertainty of surface data modeling via the type-2 fuzzy B-spline model |
| title_full | Complex uncertainty of surface data modeling via the type-2 fuzzy B-spline model |
| title_fullStr | Complex uncertainty of surface data modeling via the type-2 fuzzy B-spline model |
| title_full_unstemmed | Complex uncertainty of surface data modeling via the type-2 fuzzy B-spline model |
| title_short | Complex uncertainty of surface data modeling via the type-2 fuzzy B-spline model |
| title_sort | complex uncertainty of surface data modeling via the type 2 fuzzy b spline model |
| topic | QA1-939 Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/34595/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/34595/2/FULLTEXT.pdf |
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