On Natural Criteria in Set-Valued Optimization (Dynamic Decision Systems under Uncertain Environments)

On Natural Criteria in Set-Valued Optimization (Dynamic Decision Systems under Uncertain Environments)
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集值优化中的自然准则(不确定环境下的动态决策系统)

DOI:
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发表时间:
1998
期刊:
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通讯作者:
Daishi Kuroiwa
Daishi Kuroiwa
中科院分区:
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文献类型:
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作者:
Daishi Kuroiwa

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引入目标函数为集值映射的最小化规划问题的若干自然准则。对于这些判据,我们定义了一些半连续性,并证明了关于问题解的存在性的若干定理。同时,我们研究了集值最小化问题的对偶性问题。
We introduce some natural criteria of a minimization programming problem whose objective function is a set-valued map. For such criteria, we define some semicontinuities and prove certain theorems with respect to existence of solutions of the problem. Also, we investigate certain duality problem for the set-valued minimization problem.