Interpolation of fuzzy data by Hermite polynomial

Abstract

We consider the interpolation of fuzzy data by a differentiable fuzzy-valued function. We do it by setting some conditions on the interpolant and its first derivative. We give a numerical method for calculating this function.

Keywords:

• Fuzzy-valued function
• Fuzzy interpolation
• Hermite interpolation
• Sikkala first-order derivative

Acknowledgements

We would like to thank A. Hadi Vencheh and M. A. Moarefi for their help. We also acknowledge the support provided by Azad University, Kerman Branch.