%0 Journal Article
%T 广义E-凸区间值优化问题的最优性条件<br>Optimality Conditions for Generalized E-Convex Interval-Valued Optimization Problems
%A 王辉辉
%A 王海军
%A 杜佳楠
%J Advances in Applied Mathematics
%P 342-348
%@ 2324-8009
%D 2022
%I Hans Publishing
%R 10.12677/AAM.2022.111042
%X 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(IOP<sub>E</sub>)，引入E-？<sub>c</sub>凸，E-<span>？</span><sub>c</sub>伪凸，严格E-<span>？</span><sub>c</sub>伪凸，E-<span>？</span><sub>c</sub>拟凸等广义E-凸性条件，给出(IOP<sub>E</sub>)的必要性和充分性最优性条件。<br />
In this paper, we studied the generalized E-convex interval-valued optimization problems with inequality and equality constraints (IOP<sub>E</sub>). We gave the necessary and sufficient optimality conditions for (IOP<sub>E</sub>) by the generalized E-<span>？</span><sub>c </sub>convex conditions, such as E-<span>？</span><sub>c</sub> convexity, E-<span>？</span><sub>c</sub> pseudoconvexity, strict E-<span>？</span><sub>c</sub> pseudoconvexity, E- quasiconvexity.
%K E-凸区间值优化问题，广义E-凸性，E-KKT最优性条件<br>E-Convex Interval-Valued Optimization Problems
%K Generalized E-Convexity
%K E-KKT Optimality 
Conditions
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=48380