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Generalized Concavity in Fuzzy Optimization and Decision Analysis Rutilius Taurus Aemilianus die Beeinträchtigung der Attraktivität desConvexity of sets in linear spaces, and concavity and convexity of functions, lie at the root of beautiful theoretical results that are at the same time extremely useful in the analysis and solution of optimization problems, including problems of either single objective or multiple objectives. Not all of these results rely necessarily on convexity and concavity; some of the results can guarantee that each local optimum is also a global optimum, giving