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Vector optimization
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<p>Vector optimization is a subarea of <a href="/facts/Mathematical_optimization/oRn8Iv5I">mathematical optimization</a> where <a href="/facts/Optimization_problem/QzwJfFEE">optimization problems</a> with a vector-valued <a href="/facts/Objective_function/xv5ozuhl">objective functions</a> are optimized with respect to a given <a href="/facts/Partial_ordering/qb4a3FAX">partial ordering</a> and subject to certain constraints. A <a href="/facts/Multi-objective_optimization/1Hb4gjGJ">multi-objective optimization</a> problem is a special case of a vector optimization problem: The objective space is the finite dimensional <a href="/facts/Euclidean_space/R2UbzmzM">Euclidean space</a> partially ordered by the component-wise "less than or equal to" ordering. </p>