… The present paper discusses the problem called the 'inverse problem', "Given a fuzzy
relation R = U x V and a fuzzy subset B = V, find all A = U such that A oR =B". Although it is a
special form of Sanchez' … In this paper, the inverse problem of fuzzy relational equations
has been investigated. A different type of the conditions for the existence of a solution have
been derived, and the problem is given an analytical solution. A method has been proposed,
by means of which a class of redundant lower bounds of the solutions are readily eliminated; …