2014•Journal of Intelligent & Fuzzy SystemsRequires access

Hermite and piecewise cubic Hermite interpolation of fuzzy data

Masoumeh Zeinali, S. Shahmorad, Kamal Mirnia

Abstract

In this paper a cubic Hermite interpolation for fuzzy data is presented and then it is generalized to piecewise cubic Hermite interpolation. Moreover an error bound is given for piecewise cubic Hermite interpolation. The piecewise cubic Hermite interpolation is constructed under some weaker conditions than of Hermite interpolation. The results of this paper are illustrated by some examples.

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Available abstract

Key concepts: Cubic Hermite spline, Monotone cubic interpolation, Hermite interpolation, Hermite polynomials, Hermite spline, Piecewise, Fuzzy logic, Interpolation (computer graphics)