Analysis of Arithmetic Operations for Fuzzy Numbers

Abstract

This paper deals with fundamental arithmetic operations on fuzzy numbers and use of these operations for carrying out various fuzzy processes. When modelling specific problems in the field of sciences as well as engineering, it's common to notice that the problem's characteristics aren't known precisely and instead fall into a range. Interval arithmetic, which permits mathematical evaluations (operations) to be conducted on intervals in order to produce significant estimations of required values in terms of intervals, has already been used to deal with similar problems. Fuzzy arithmetic can be thought of as an extension of arithmetic interval, in which numerous levels in [0,1] are considered instead of only one (constant) level.