Solution of System of Linear Equation of Fuzzy Number over Max-Plus Algebra

This paper aimed to discuss the systems of linear equations over fuzzy number max-plus algebra via its alpha-cut especially which had form A???x=b dan x=A???x???b and method to find the solutions of them, where A is a matrix coefficient and x,b are vectors. The finding showed that systems of linear equations over fuzzy number max-plus algebra via its alpha-cut seem like systems of linear equations in conventional algebra. It possibly had no solution, one solution, or many solutions. For the system of linear equations A???x=b there were greatest sub-solution method, matrix discrepancy method and reduced matrix discrepancy method to determine whether it had solution or no, further whether the solution was singular or not. For the system of linear equations x=A???x???b there was graph representation of matrix over max-plus algebra method to determine when it had solution and when the solution is singular