Error analysis between two different fuzzy multiplication operations on Triangular Fuzzy Number

Abstract

One of the basic contents of fuzzy mathematics is the mathematical operations of fuzzy numbers. But still some of the fuzzy mathematical operations are not determined. There are some operations between fuzzy numbers are exact and there are approximated operations. In this paper, a comparison has been presented between two different fuzzy multiplication operations. One of these two fuzzy multiplication operations is exact with using interval arithmetic cut method and the other one is an approximation method which uses a standard approximation. In the two different methods, the fuzzy numbers will be defined as triangular fuzzy numbers because the triangular fuzzy number is the most popular one between the other shapes of fuzzy numbers. A numerical example has been presented with graphical result to show the difference between them and to analyze the error.