吉首大学学报（自然科学版）2024，Vol.45Issue(1)：7-12,6.DOI:10.13438/j.cnki.jdzk.2024.01.002
一类新的非凸鲁棒优化问题的混合型对偶
Mixed Type Duality for a New Class of Non-Convex Robust Optimization Problems
摘要
Abstract
We first introduced a new class of non-convex robust optimization problems,whose objective functions and constraint functions are α-convex functions and defined the mixed-type approximate dual problem of the new problems.Then,by using the properties of the Frechet subdifferentials,the optimali-ty conditions of approximate solution are introduced.At the same time,some results for the weak duali-ty,strong duality and converse-like duality theorems between the non-convex robust optimization prob-lem and its mixed type dual problem are also given.关键词
鲁棒优化/Frechet次微分/混合型对偶Key words
robust optimization/Frechet subdifferentials/mixed type duality分类
数理科学引用本文复制引用
王梦丹,王娇浪..一类新的非凸鲁棒优化问题的混合型对偶[J].吉首大学学报（自然科学版）,2024,45(1):7-12,6.基金项目
国家自然科学基金资助项目(12261037) （12261037）
湖南省教育厅科学研究项目(21C0699) （21C0699）
湖南科技学院科学研究项目(21XKY037) （21XKY037）
