Fuzzy triangular numbers in-Sierpinski triangle and right angle triangle

Abstract

Sierpinski Triangle or Sierpinski Gasket or Sierpinski Sieve is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. In this paper the number theoretical aspect of Fuzzy Triangular Numbers (FTN) in Sierpinski Triangle and Right Angle Triangle have been established and some arithmetic operations of α-Cut, Centroid of the Triangle, Approximation of the Triangular Fuzzy Numbers are explained.