Fuzzy B-Spline Surface Modeling | Zendy

Rozaimi Zakaria | Zendy; Abd. Fatah Wahab | Zendy; R. U. Gobithaasan | Zendy

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Fuzzy B-Spline Surface Modeling

Author(s) -

Rozaimi Zakaria,

Abd. Fatah Wahab,

R. U. Gobithaasan

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/285045

Subject(s) - defuzzification , fuzzy logic , fuzzy set , fuzzy set operations , fuzzy classification , fuzzy number , mathematics , spline (mechanical) , type 2 fuzzy sets and systems , terrain , computer science , data mining , fuzzy mathematics , neuro fuzzy , fuzzy control system , artificial intelligence , engineering , ecology , biology , structural engineering

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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