集值优化中扰动映射的二阶S导数的灵敏度分析

doi:10.15960/j.cnki.issn.1007-6093.2020.04.007

运筹学学报 ›› 2020, Vol. 24 ›› Issue (4): 83-92.doi: 10.15960/j.cnki.issn.1007-6093.2020.04.007

集值优化中扰动映射的二阶S导数的灵敏度分析

汤卫^1,2,*, 杨赟³

1. 贵州广播电视大学, 贵阳 556000;
2. 贵州大学数学与统计学院, 贵阳 550025;
3. 贵州电子商务职业技术学院, 贵阳 550000

收稿日期:2019-04-01 发布日期:2020-11-18
通讯作者: 汤卫 E-mail:hanxiangdemenghuan@163.com
基金资助:
国家自然科学基金（No.61962009），贵州省科技重大专项计划（No.20183001）

Sensitivity for the second-order S-derivative of the perturbation map in set-valued optimization

TANG Wei^1,2,*, YANG Yun³

1. Guizhou Radio and TV University, Guiyang 556000, China;
2. College of Mathematics and Statistics, Guizhou University, Guiyang 550025, China;
3. Guizhou Vocational and Technical College of ECommerce, Guiyang 550000, China

Received:2019-04-01 Published:2020-11-18

摘要/Abstract

摘要： 引进一种新的二阶切导数，称为二阶S导数，并讨论它的性质以及它与二阶切导数的关系。借助二阶S导数，建立集值映射切导数的极小值与扰动映射切导数之间的关系。

关键词: 二阶S导数, 集值映射, 扰动映射

Abstract: In this paper, a new kind of second-order contingent derivative is introduced, termed second-order S-derivative. Some properties of second-order S-derivative and the relationship to second-order contingent derivative are discussed. Then, with the help of second-order S-derivative, relationships are established between the minimum of contingent derivative of set-valued maps and contingent derivative of perturbation maps.

Key words: second-order S-derivative, set-valued map, perturbation map

中图分类号:

O221
O224

汤卫, 杨赟. 集值优化中扰动映射的二阶S导数的灵敏度分析[J]. 运筹学学报, 2020, 24(4): 83-92.

TANG Wei, YANG Yun. Sensitivity for the second-order S-derivative of the perturbation map in set-valued optimization[J]. Operations Research Transactions, 2020, 24(4): 83-92.

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集值优化中扰动映射的二阶S导数的灵敏度分析

Sensitivity for the second-order S-derivative of the perturbation map in set-valued optimization

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