Compatibility of systems of fuzzy relation equations
In this paper, a fuzzy relation equation system with the generalized conjunction and implication operations is considered. Necessary and sufficient conditions of solvability of this system are proved. The case where these conditions are not fulfilled is considered and the solvability degree of the approximate solution is estimated. The interpolation property of the solution independently on whether it is precise or approximate is established.
system of fuzzy relation equations solvability degree sup-t-composition best approximate solution