An Application of Interval Arithmetic for Solving Fully Fuzzy Linear Systems with Trapezoidal Fuzzy Numbers

Abstract EN

We present a method for solving fully fuzzy linear systems using interval aspects of fuzzy numbers.

This new method uses a decomposition technique to convert a fully fuzzy linear system into two types of decomposition in the form of interval matrices.

It finds the solution of a fully fuzzy linear system by using interval operations.

This new method uses interval arithmetic and two new interval operations ⊖ and ⊘.

These new operations, which are inverses of basic interval operations + and ×, will be presented in the middle of this paper.

Some numerical examples are given to illustrate the ability of proposed methods.