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AbstractWe present a first study concerning the optimization of a non linear fuzzy function f depending both on a crisp variable and a fuzzy number: therefore the function value is a fuzzy number. More specifically, given a real fuzzy number F and the function f(a,x):R2R, we consider the fuzzy extension induced by f, f : F R F, f(,x) = Y. If K is a convex subset of R, the problem we consider is maximizingf(,x),...