Solvability and unique solvability of max-min fuzzy equations
The problem of solvability and the problem of unique solvability of a fuzzy relation equation in an arbitrary max-min algebra are considered and corresponding necessary and sufficient conditions are presented. The results allow to solve both problems by an O(mnp) algorithm, where m,n,p are the dimensions of the corresponding relations in the equation. The existence of the greatest and of the least solution is also considered. (C) 2001 Elsevier Science B.V. All rights reserved.
solvability fuzzy relation equation max-min algebra fuzzy algebra