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The book delves into the concepts of convexity and concavity in linear spaces, highlighting their significance in optimization problems, both single and multiple objectives. It explores generalized convex sets and concave functions, emphasizing their role in ensuring local optima can also serve as global optima, thus broadening their applicability. The latter sections focus on utilizing these concepts to tackle decision-making and optimization challenges under uncertainty, providing a comprehensive framework for addressing complex problems in various contexts.
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Generalized Concavity in Fuzzy Optimization and Decision Analysis, Jaroslav Ramík, Milan Vlach
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- 2001
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