Purpose
In this paper, we will consider the interpolation of fuzzy data by using thefuzzy-valued piecewise quartic polynomials Q y 0 , y 1 , … , y n ( x ) induced from E(3) cubic spline functions.
Method
It has been many years since researchers have attended to the problem ofinterpolation 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 willapply the extension principle to construct the membership function of Q y 0 , y 1 , … , y n ( x ) .
Results
By using piecewise quartic polynomials, a new set of fuzzy spline functionswas defined to interpolate given fuzzy data.
Conclusions
In our previous study, we used E(3) cubic spline to constructE(3) fuzzy cubic spline. In this article, we added one extraterm to this spline to compute the piecewise quartic polynomials and hencethe fuzzy-valued piecewise quartic polynomials.