Fuzzy control and fuzzy relation equations. A unified view as interpolation problem
Siegfried Gottwald · IEEE Annual Meeting of the Fuzzy Information, 2004. Processing NAFIPS '04. · 2004
For theoretical fuzzy control it is a well known strategy to transform a system of control rules into a system of relation equations. Because these systems of relation equations are not always solvable, solvability criteria and approximate solutions have been discussed. We show that from a mathematical point of view the whole problem may be seen as the problem to find an approximate solution for an interpolation problem.