Titlebook: Mathematics of Multi Objective Optimization; Paolo Serafini Book 1985 Springer-Verlag Wien 1985 Mathematics.Optimization.mathematical prog

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Dominance Concepts in Random Outcomesance, and probability dominance — are reviewed. The characteristic features, the relative merits and shortcomings of these approaches are discussed. Main results and relationships among them are stated. The nondominated set of Ω (a set of random variables) is defined according to different dominance

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A Unified Approach for Scalar and Vector Optimizationimization can be accomodated. So far vector optimization the adopted point of view is much in the spirit of scalarization ; in this sense it is closely related to the papers by Pascoletti and Serafini. and Jahn.. Moreover it develops in a more general way ideas first appeared in Serafini..

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Conjugate Maps and Conjugate Dualityural solution concept. First, conjugate maps and subgradients are defined for vector-valued functions and point-to-set maps. Embedding the primal problem into a family of perturbed problems enables us to define a dual problem in terms of the conjugate map of the perturbed objective function. Every s

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