Abstract
A problem is studied of solving a system of fuzzy relational equations
A
i
∘
R =
B
i
for known fuzzy sets
A
i
and
B
i
. It is pointed out that this is closely related to a task of discovering a structure of the data set (
A
i
,
B
i
),
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.