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vector optimization : ウィキペディア英語版
vector optimization
Vector optimization is a subarea of mathematical optimization where optimization problems with a vector-valued objective functions are optimized with respect to a given partial ordering and subject to certain constraints. A multi-objective optimization problem is a special case of a vector optimization problem: The objective space is the finite dimensional Euclidean space partially ordered by the component-wise "less than or equal to" ordering.
== Problem formulation ==
In mathematical terms, a vector optimization problem can be written as:
:C\operatorname\min_ f(x)
where f: X \to Z for a partially ordered vector space Z. The partial ordering is induced by a cone C \subseteq Z. X is an arbitrary set and S \subseteq X is called the feasible set.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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