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 interpolant and first derivative of the interpolant. We give a numerical method for calculating this function.

Keywords:

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

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Acknowledgements

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