Interpolation of fuzzy data by using flat end fuzzy splines

Ezzati, Reza; Abbasbandy, Saeid; Behforooz, Hossein

doi:10.22075/ijnaa.2017.1419.1363

Interpolation of fuzzy data by using flat end fuzzy splines

Document Type : Research Paper

Authors

Reza Ezzati ¹

Saeid Abbasbandy ²

Hossein Behforooz ³

¹ Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

² Department of Applied Mathematics, Imam Khomeini International University, Qazvin, Iran

³ Department of Mathematics, Utica College, Utica, New York, 13502, USA

10.22075/ijnaa.2017.1419.1363

Abstract

In this paper, a new set of spline functions called ``Flat End Fuzzy Spline" is defined to interpolate given fuzzy data. Some important theorems on these splines together with their existence and uniqueness properties are discussed. Then numerical examples are presented to illustrate the differences between of using our spline and other interpolations that have been studied before.

Keywords

fuzzy interpolation

extension principle

fuzzy splines