Approximation to the Curves in the Sense of Fuzzy Logic

Abstract

In this paper, we define the Fuzzy curves by using alpha-level set and give a numerical example for a Fuzzy curve. We also obtain the Fuzzy Frenet frame of Fuzzy curves by using Gramm-Schmidt orthogonalization procedure and the Fuzzy curvature functions in terms of de Blasi derivative. We, particularly, focus on three dimensions for the Fuzzy Frenet frame. Finally, we get some examples for a deeper understanding of these new notions.