| In this paper, the question that ranking of the fuzzy sets is investigated at first: A fuzzy maximal sets M for some fuzzy sets which satisfied some given conditions ( convex fuzzy sets ) is definited, and the membership degree μ(m|～)(x)(x is a convex fuzzy set) of every convex fuzzy sets x to fuzzy maximal sets M is given out, Then the ordering relation of the fuzzy sets is given out by the membership degree μ(m|～)((Ai|～)) of convex fuzzy set (Ai|～) (i = 1,2, … , n) to fuzzymaximum set M.The solution set and some properties of infinite fuzzy relation equation = r on [0,1] lattice is investigated . Furtherly, the equations ( where A = (aij)m×n,B = (bij)m×n,X = (xj)n×1, "0" is max-min composition. ) on [0,1] lattice is investigate , one simple algorithm of maximum result of equations is given and verified . In the bases of above , some properties of the equations and a sufficient and necessary condition of R R is given , ( where R ∈ (0, R*) and R is the result of the equations, R is the result sets of the equations ). So the result sets R of equations is scored and the solution set of the equations on [0,1] lattice is given correspondingly.
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