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International Conference on Information Technology and Computer Science, 3rd (ITCS 2011)Available to Purchase
Editor
V. E. Muhin,
V. E. Muhin
National Technical University of Ukraine
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ISBN:
9780791859742
No. of Pages:
656
Publisher:
ASME Press
Publication date:
2011
eBook Chapter
144 On Interpolation of Triangular Fuzzy Numbers Available to Purchase
By
Yongchao Hou
,
Yongchao Hou
Department of Mathematics,
Chaohu University
, Chaohu
, China
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Yun Qian
Yun Qian
Department of Mathematics,
Chaohu University
, Chaohu
, China
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Page Count:
4
-
Published:2011
Citation
Hou, Y, & Qian, Y. "On Interpolation of Triangular Fuzzy Numbers." International Conference on Information Technology and Computer Science, 3rd (ITCS 2011). Ed. Muhin, VE, & Hu, WB. ASME Press, 2011.
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Interpolation methods are very popular in many practical areas. Sometimes, the data are inaccurate. Namely, we have to do interpolation in an uncertain environment. A feasible method is to represent the quantities as fuzzy numbers. In this paper, the polynomial interpolation of triangular fuzzy numbers is discussed. First, we propose a general form of the polynomial with fuzzy coefficients. Then, the existence of fuzzy interpolating polynomial is shown. Finally, an example illustrates the rationality of the method and the validity of the solution.
Topics:
Interpolation
Abstract
Keywords
Introduction
Preliminaries
Interpolating Polynomial of Fuzzy Numbers
Numerical Examples
Conclusion And Prospect
Acknowledgments
References
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