Using Parametric Functions to Solve Systems of Linear Fuzzy Equations with a Symmetric Matrix

Abstract

A method to solve linear fuzzy equations with a symmetric matrix is proposed. Ignoring the symmetry leads to an overestimation of the solution. Our method to find the solution of a system of linear fuzzy equations takes the symmetry of the matrix into account and is based on parametric functions. It is a practical algorithm using parametric functions in which the variables are given by elements of the support of the fuzzy coefficients of the system.

Keywords

• fuzzy number
• system of linear fuzzy equations
• symmetric matrix
• parametric function