Abstract
A problem is studied of solving a system of fuzzy relational equations Ai∘R = Bi for known fuzzy sets Ai and Bi. It is pointed out that this is closely related to a task of discovering a structure of the data set (Ai, Bi), i = 1, 2,…, N, which plays an important role with respect to the solvability and identifiability property of the system of equations. Two main algorithms are proposed: their background is discussed with respect to solvablility of the system of equations. The relevant technical details are clarified in depth.
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