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2014 Fuzzy B-Spline Surface Modeling
Rozaimi Zakaria, Abd. Fatah Wahab, R. U. Gobithaasan
J. Appl. Math. 2014: 1-8 (2014). DOI: 10.1155/2014/285045

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.

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Rozaimi Zakaria. Abd. Fatah Wahab. R. U. Gobithaasan. "Fuzzy B-Spline Surface Modeling." J. Appl. Math. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/285045

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131484
MathSciNet: MR3232907
Digital Object Identifier: 10.1155/2014/285045

Rights: Copyright © 2014 Hindawi

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