Fuzzy B-Spline Surface Modeling
This paper discusses the construction of a fuzzy B-spline surface model. The construction of this model is based on fuzzy set theory which is based on fuzzy number and fuzzy relation concepts. The proposed theories and concepts define the uncertainty data sets which represent fuzzy data/control poin...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/285045 |
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| _version_ | 1832547493585354752 |
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| author | Rozaimi Zakaria Abd. Fatah Wahab R. U. Gobithaasan |
| author_facet | Rozaimi Zakaria Abd. Fatah Wahab R. U. Gobithaasan |
| author_sort | Rozaimi Zakaria |
| collection | DOAJ |
| description | This paper discusses the construction of a fuzzy B-spline surface model. The construction of this model is based on fuzzy set theory which is based on fuzzy number and fuzzy relation concepts. The proposed theories and concepts define the uncertainty data sets which represent fuzzy data/control points allowing the uncertainties data points modeling which can be visualized and analyzed. The fuzzification and defuzzification processes were also defined in detail in order to obtain the fuzzy B-spline surface crisp model. Final section shows an application of fuzzy B-spline surface modeling for terrain modeling which shows its usability in handling uncertain data. |
| format | Article |
| id | doaj-art-3134df2635d34a56b5300230025cc72e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3134df2635d34a56b5300230025cc72e2025-02-03T06:44:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/285045285045Fuzzy B-Spline Surface ModelingRozaimi Zakaria0Abd. Fatah Wahab1R. U. Gobithaasan2School of Informatics & Applied Mathematics, Universiti Malaysia Terengganu (UMT), 21030 Kuala Terengganu, Terengganu, MalaysiaSchool of Informatics & Applied Mathematics, Universiti Malaysia Terengganu (UMT), 21030 Kuala Terengganu, Terengganu, MalaysiaSchool of Informatics & Applied Mathematics, Universiti Malaysia Terengganu (UMT), 21030 Kuala Terengganu, Terengganu, MalaysiaThis paper discusses the construction of a fuzzy B-spline surface model. The construction of this model is based on fuzzy set theory which is based on fuzzy number and fuzzy relation concepts. The proposed theories and concepts define the uncertainty data sets which represent fuzzy data/control points allowing the uncertainties data points modeling which can be visualized and analyzed. The fuzzification and defuzzification processes were also defined in detail in order to obtain the fuzzy B-spline surface crisp model. Final section shows an application of fuzzy B-spline surface modeling for terrain modeling which shows its usability in handling uncertain data.http://dx.doi.org/10.1155/2014/285045 |
| spellingShingle | Rozaimi Zakaria Abd. Fatah Wahab R. U. Gobithaasan Fuzzy B-Spline Surface Modeling Journal of Applied Mathematics |
| title | Fuzzy B-Spline Surface Modeling |
| title_full | Fuzzy B-Spline Surface Modeling |
| title_fullStr | Fuzzy B-Spline Surface Modeling |
| title_full_unstemmed | Fuzzy B-Spline Surface Modeling |
| title_short | Fuzzy B-Spline Surface Modeling |
| title_sort | fuzzy b spline surface modeling |
| url | http://dx.doi.org/10.1155/2014/285045 |
| work_keys_str_mv | AT rozaimizakaria fuzzybsplinesurfacemodeling AT abdfatahwahab fuzzybsplinesurfacemodeling AT rugobithaasan fuzzybsplinesurfacemodeling |