A note on unsolvable systems of max-min (fuzzy) equations (Q1978121)

For unsolvable systems of linear equations of the form \(A \otimes x=b\) over the max-min (fuzzy) algebra \({\mathcal R}=(\langle 0,1\rangle, \oplus =\max, \otimes= \min)\), the author proposes an efficient method for finding a Chebyshev-best approximation of the matrix \(A\in{\mathcal R}(m,n)\) in the set \({\mathcal S}(b)= \{D\in {\mathcal R}(m,n); D\otimes x=b\) is solvable\}.