Piecewise cubic interpolation of fuzzy data based on B-spline basis functions

Author(s):

Masoumeh Zeinali , Sedaghat Shahmorad , Kamal Mirnia

Abstract:
In this paper fuzzy piecewise cubic interpolation is constructed for fuzzy data based on B-spline basis functions. We add two new additional conditions which guarantee uniqueness of fuzzy B-spline interpolation.Other conditions are imposed on the interpolation data to guarantee that the interpolation function to be a well-defined fuzzy function. Finally some examples are given to illustrate the proposed method.
Keywords:

Fuzzy number , Fuzzy interpolation , B , spline basis functions

Language:
English
Published:
Iranian journal of fuzzy systems, Volume:13 Issue: 1, Feb 2016
Pages:
67 to 76
https://www.magiran.com/p1496435