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运筹学学报 >

2020 , Vol. 24 >Issue 4: 25 - 38

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2020.04.002

广义凸区间值优化问题的最优性条件

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  • 西南大学数学与统计学院, 重庆 400715

收稿日期: 2018-11-30

  网络出版日期: 2020-11-18

基金资助

国家自然科学基金（No.12071379），重庆市基础与前沿技术研究项目（No.cstc2016jcyjA0239）

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Optimality conditions of generalized convex interval valued optimization problems

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  • School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

Received date: 2018-11-30

  Online published: 2020-11-18

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摘要

引入一种区间CW-序关系，借助CW-序关系引入了区间值预不变凸，伪不变凸和拟不变凸函数，并建立了几类区间值广义不变凸函数之间的关系。最后，在区间值不变凸性条件下，利用标量化方法建立了不变凸区间值优化问题的最优性条件。

关键词： 广义凸性; 区间值优化问题; 区间值函数; 最优性条件

本文引用格式

黎君, 陈加伟, 邓光菊 . 广义凸区间值优化问题的最优性条件[J]. 运筹学学报, 2020 , 24(4) : 25 -38 . DOI: 10.15960/j.cnki.issn.1007-6093.2020.04.002

Abstract

A new interval CW-order relation is introduced in this paper. By the CW-order relation, the interval valued pre-invex, pseudo-invex and quasi-invex functions are introduced, then we established the relationships among these kinds of functions. Finally, under the interval value invexity, the optimal condition of the interval valued optimization problem is established by using the scalarization method.

Key words： generalized convexity; interval value optimization problem; interval valued function; optimality condition

参考文献

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