Equations with fuzzy numbers (Q1115438)

By Zadeh's extension principle a binary operation * on the real numbers \({\mathbb{R}}\) is extended to fuzzy numbers \(f_ i: {\mathbb{R}}\to [0,1]\), \(i=1,2\), as follows \((f_ 1*f_ 2)(z)=\bigvee \{f_ 1(x_ 1)\wedge f_ 2(x_ 2):\) \(x_ 1*x_ 2=z\}\). Then the equation \(f*x=g\) is considered. Among other things the author investigates which conditions have to be verified by the cuts of f and g in order that this equation has a solution. For details we have to refer to the paper.