In this paper,we mainly discuss the solution sets and properties of fuzzy bi-linear relation equation A ? X = B ? X with max-? composition on[0,1].When the index set is finite,we first discuss the maximum solution of the vector bilinear equation and give the expression of the maximum solution.And then we obtain the methods of getting the maximum solution and the maximum result of the vector bilinear equation.Some properties of minimal solutions and maximum solution are discussed of the equation.Finally,we deal with the so-lution set and some properties of the matrix bilinear equation,and give the algorithm of the maximum solution and the maximum result of the matrix bilinear equation.When the index set is infinite,the solution set of equation and its properties are also investigated. |