INTERPOLATION OF FUZZY DATA BY USING QUARTIC PIECEWISE POLYNOMIALS INDUCED FROM E (3) CUBIC SPLINES

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BEHFOROOZ HOSSEIN; EZZATI REZA; ABBASBANDY SAEID

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Journal: MATHEMATICAL SCIENCES Year:2012 | Volume:6 | Issue:- Page(s): 1-5

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Title

INTERPOLATION OF FUZZY DATA BY USING QUARTIC PIECEWISE POLYNOMIALS INDUCED FROM E (3) CUBIC SPLINES

Author(s)

BEHFOROOZ HOSSEIN | EZZATI REZA | ABBASBANDY SAEID | Issue Writer Certificate

Keywords

E (3) CUBIC SPLINE

QUARTIC PIECEWISE POLYNOMIALS

FUZZY INTERPOLATION

EXTENSION PRINCIPLE

Abstract

Purpose: In this paper, we will consider the interpolation of fuzzy data by using the fuzzy-valued piecewise quartic polynomials Qy0, y1, ..., yn (x) induced from E (3) cubic spline functions.Method: It has been many years since researchers have attended to the problem of interpolation of fuzzy data. Here, for Lagrange interpolation of fuzzy data, we will use the piecewise quartic polynomial induced from E (3) cubic spline functions to interpolate the fuzzy data. To do this, we will apply the EXTENSION PRINCIPLE to construct the membership function of Qy0, y1, ..., yn (x). Results: By using piecewise quartic polynomials, a new set of fuzzy spline functions was defined to interpolate given fuzzy data.Conclusions: In our previous study, we used E (3) cubic spline to construct E (3) fuzzy cubic spline. In this article, we added one extra term to this spline to compute the piecewise quartic polynomials and hence the fuzzy-valued piecewise quartic polynomials.

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APA: Copy

BEHFOROOZ, HOSSEIN, EZZATI, REZA, & ABBASBANDY, SAEID. (2012). INTERPOLATION OF FUZZY DATA BY USING QUARTIC PIECEWISE POLYNOMIALS INDUCED FROM E (3) CUBIC SPLINES. MATHEMATICAL SCIENCES, 6(-), 1-5. SID. https://sid.ir/paper/322622/en

Vancouver: Copy

BEHFOROOZ HOSSEIN, EZZATI REZA, ABBASBANDY SAEID. INTERPOLATION OF FUZZY DATA BY USING QUARTIC PIECEWISE POLYNOMIALS INDUCED FROM E (3) CUBIC SPLINES. MATHEMATICAL SCIENCES[Internet]. 2012;6(-):1-5. Available from: https://sid.ir/paper/322622/en

IEEE: Copy

HOSSEIN BEHFOROOZ, REZA EZZATI, and SAEID ABBASBANDY, “INTERPOLATION OF FUZZY DATA BY USING QUARTIC PIECEWISE POLYNOMIALS INDUCED FROM E (3) CUBIC SPLINES,” MATHEMATICAL SCIENCES, vol. 6, no. -, pp. 1–5, 2012, [Online]. Available: https://sid.ir/paper/322622/en

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