Generalized Fuzzy Linguistic Bicubic B-Spline Surface Model for Uncertain Fuzzy Linguistic Data
A fuzzy linguistic data set that is uncertain is difficult to analyze and describe in the form of a smooth and continuous generic figure. Therefore, the study aims to develop a new model of a B-spline surface using a different approach of a crisp and fuzzy linguistic point relation with three types...
| Huvudupphovsmän: | , , , |
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| Materialtyp: | Artikel |
| Språk: | English English |
| Publicerad: |
MDPI
2022
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| Ämnen: | |
| Länkar: | https://eprints.ums.edu.my/id/eprint/35142/1/Abstract.pdf https://eprints.ums.edu.my/id/eprint/35142/2/Full%20text.pdf |
| _version_ | 1825715165237084160 |
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| author | Mohd Syafiq Bidin Abd. Fatah Wahab Mohammad Izat Emir Zulkifly Rozaimi Zakaria |
| author_facet | Mohd Syafiq Bidin Abd. Fatah Wahab Mohammad Izat Emir Zulkifly Rozaimi Zakaria |
| author_sort | Mohd Syafiq Bidin |
| collection | UMS |
| description | A fuzzy linguistic data set that is uncertain is difficult to analyze and describe in the form of a smooth and continuous generic figure. Therefore, the study aims to develop a new model of a B-spline surface using a different approach of a crisp and fuzzy linguistic point relation with three types of linguistic function: low L, medium Mi and high H. These linguistic functions are defined first to introduce the fuzzy linguistic point relation. Then, a new algorithm of the fuzzy linguistic bicubic B-spline surface model is presented to convert fuzzy linguistic data into fuzzy linguistic control points. In addition, a numerical example of fuzzy linguistic data is considered at the end of this study to visualize the suggested model. Thus, the relation between the fuzzy linguistic data points can be analyzed to present another area of knowledge in which symmetry phenomena occur. The symmetry here plays an important role in solving the uncertain fuzzy linguistic data problem by using the suggested model. |
| first_indexed | 2024-03-06T03:22:40Z |
| format | Article |
| id | ums.eprints-35142 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:22:40Z |
| publishDate | 2022 |
| publisher | MDPI |
| record_format | dspace |
| spelling | ums.eprints-351422023-03-06T09:27:15Z https://eprints.ums.edu.my/id/eprint/35142/ Generalized Fuzzy Linguistic Bicubic B-Spline Surface Model for Uncertain Fuzzy Linguistic Data Mohd Syafiq Bidin Abd. Fatah Wahab Mohammad Izat Emir Zulkifly Rozaimi Zakaria Q1-390 Science (General) QA1-939 Mathematics A fuzzy linguistic data set that is uncertain is difficult to analyze and describe in the form of a smooth and continuous generic figure. Therefore, the study aims to develop a new model of a B-spline surface using a different approach of a crisp and fuzzy linguistic point relation with three types of linguistic function: low L, medium Mi and high H. These linguistic functions are defined first to introduce the fuzzy linguistic point relation. Then, a new algorithm of the fuzzy linguistic bicubic B-spline surface model is presented to convert fuzzy linguistic data into fuzzy linguistic control points. In addition, a numerical example of fuzzy linguistic data is considered at the end of this study to visualize the suggested model. Thus, the relation between the fuzzy linguistic data points can be analyzed to present another area of knowledge in which symmetry phenomena occur. The symmetry here plays an important role in solving the uncertain fuzzy linguistic data problem by using the suggested model. MDPI 2022 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/35142/1/Abstract.pdf text en https://eprints.ums.edu.my/id/eprint/35142/2/Full%20text.pdf Mohd Syafiq Bidin and Abd. Fatah Wahab and Mohammad Izat Emir Zulkifly and Rozaimi Zakaria (2022) Generalized Fuzzy Linguistic Bicubic B-Spline Surface Model for Uncertain Fuzzy Linguistic Data. Symmetry, 14. pp. 1-17. ISSN 2073-8994 https://www.mdpi.com/2073-8994/14/11/2267 https://doi.org/10.3390/sym14112267 https://doi.org/10.3390/sym14112267 |
| spellingShingle | Q1-390 Science (General) QA1-939 Mathematics Mohd Syafiq Bidin Abd. Fatah Wahab Mohammad Izat Emir Zulkifly Rozaimi Zakaria Generalized Fuzzy Linguistic Bicubic B-Spline Surface Model for Uncertain Fuzzy Linguistic Data |
| title | Generalized Fuzzy Linguistic Bicubic B-Spline Surface Model for Uncertain Fuzzy Linguistic Data |
| title_full | Generalized Fuzzy Linguistic Bicubic B-Spline Surface Model for Uncertain Fuzzy Linguistic Data |
| title_fullStr | Generalized Fuzzy Linguistic Bicubic B-Spline Surface Model for Uncertain Fuzzy Linguistic Data |
| title_full_unstemmed | Generalized Fuzzy Linguistic Bicubic B-Spline Surface Model for Uncertain Fuzzy Linguistic Data |
| title_short | Generalized Fuzzy Linguistic Bicubic B-Spline Surface Model for Uncertain Fuzzy Linguistic Data |
| title_sort | generalized fuzzy linguistic bicubic b spline surface model for uncertain fuzzy linguistic data |
| topic | Q1-390 Science (General) QA1-939 Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/35142/1/Abstract.pdf https://eprints.ums.edu.my/id/eprint/35142/2/Full%20text.pdf |
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