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
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。
Abstract: 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.
文章引用:王辉辉, 王海军, 杜佳楠. 广义E-凸区间值优化问题的最优性条件[J]. 应用数学进展, 2022, 11(1): 342-348. https://doi.org/10.12677/AAM.2022.111042

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