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广义E-凸区间值优化问题的最优性条件

Optimality Conditions for Generalized E-Convex Interval-Valued Optimization Problems
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摘要 本文研究带不等式和等式约束的广义E-凸区间值优化问题(IOPE),引入E-∂c凸,E-∂c伪凸,严格E-∂c伪凸,E-∂c拟凸等广义E-凸性条件,给出(IOPE)的必要性和充分性最优性条件。 In this paper, we studied the generalized E-convex interval-valued optimization problems with inequality and equality constraints (IOPE). We gave the necessary and sufficient optimality conditions for (IOPE) by the generalized E-∂c convex conditions, such as E-∂c convexity, E-∂c pseudoconvexity, strict E-∂c pseudoconvexity, E- quasiconvexity.
作者 王辉辉 王海军 杜佳楠
机构地区 太原师范学院数学系
出处 《应用数学进展》 2022年第1期342-348,共7页 Advances in Applied Mathematics
关键词 E-凸区间值优化问题 广义E-凸性 E-KKT最优性条件
分类号 O22 [理学—运筹学与控制论]
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应用数学进展
2022年 第1期

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