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Fuzzy B-Spline Surface Modeling

Author

Listed:
  • Rozaimi Zakaria
  • Abd. Fatah Wahab
  • R. U. Gobithaasan

Abstract

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.

Suggested Citation

  • Rozaimi Zakaria & Abd. Fatah Wahab & R. U. Gobithaasan, 2014. "Fuzzy B-Spline Surface Modeling," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, July.
    • Handle: RePEc:hin:jnljam:285045
    DOI: 10.1155/2014/285045
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    Cited by:

    1. Rozaimi Zakaria & Abd. Fatah Wahab & Isfarita Ismail & Mohammad Izat Emir Zulkifly, 2021. "Complex Uncertainty of Surface Data Modeling via the Type-2 Fuzzy B-Spline Model," Mathematics, MDPI, vol. 9(9), pages 1-18, May.
    2. Musavarah Sarwar & Muhammad Akram, 2018. "Certain Algorithms for Modeling Uncertain Data Using Fuzzy Tensor Product B é zier Surfaces," Mathematics, MDPI, vol. 6(3), pages 1-12, March.

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