Abstract
System of fuzzy linear equations is very important in many
applications, especially in control systems, financial data analysis.
Ordinary methods, Cramer's Rule, Simple Row operations, failed to
solve system. We have tested both methods on triangular fuzzy numbers;
and their corresponding α–cut. Here we give reason of the failure of each
method and a new proposed method to solve such system. Finally we
wrote a Mathematica® program to solve system of fuzzy linear system.
We have considered the case of triangular fuzzy numbers T.F.N. Similar
reasoning may be used for any other form of membership function.