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Equations with fuzzy numbers. (English) Zbl 0664.04006
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.
Reviewer: J.Albrycht

MSC:
03E99 Set theory
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
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References:
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