| This problem of solvability of a system of equations with inf-â†'composition is considered on infinite universes, equations are expressed using operations of a linearly ordered BL-algebra which fulfills the so-called condi-tional cancelation law. First, consider the single equation, define the attainable solutions and the unattainable solutions, and point out the relationship between maximal solution and them. In the unattainable solutions part, point out the structure characteristics of solutions of the fuzzy relation equation, in the attainable solutions part, find out all the maximal solutions and prove that under certain conditions each solution of the equation is less than or equal to a respective maximal one. Considered about the coefficient, we are able to characterize the relationship between equations and single equation, further, discuss the maximal solutions of equations, finally, point out the algorithm of the the maximal solutions of equations. |
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