Hermite and piecewise cubic Hermite interpolation of fuzzy data

Article type: Research Article

Authors: Zeinali, Masoumeh | Shahmorad, Sedaghat | Mirnia, Kamal

Affiliations: Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

Note: [] Corresponding author. Sedaghat Shahmorad, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. Tel.: +98 411 3392892; Fax: +98 411 3342102; E-mails: zeinali@tabrizu.ac.ir (Masoumeh Zeinali), shahmorad@tabrizu.ac.ir (Sedaghat Shahmorad), mirnia-kam@tabrizu.ac.ir (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.

Keywords: Fuzzy function, fuzzy number, Hermite interpolation, piecewise cubic Hermite interpolation, interpolation of fuzzy data

DOI: 10.3233/IFS-130955

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 6, pp. 2889-2898, 2014