WEIGHTING METHOD FOR CONVEX VECTOR INTERVAL-VALUED OPTIMIZATION PROBLEMS

被引：0
|
作者：
Antczak, Tadeusz [1 ]
机构：
[1] Univ Lodz, Fac Math & Comp Sci, Lodz, Poland
来源：
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2022年 / 84卷 / 02期
关键词：
nonlinear vector optimization problem with multiple interval-objective function; weighting method; (weakly) type-I Pareto solution; OPTIMALITY CONDITIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a nonlinear vector optimization problem with the multiple interval-valued objective function is considered. We use the weighting method for finding its weakly type-I Pareto and type-I Pareto solutions. Therefore, for the considered nonlinear interval-valued multiobjective programming problem, its associated noninterval scalar optimization problem with weights is defined in the aforesaid approach. Then, under appropriate convexity hypotheses, the equivalence between a (weakly) type-I Pareto of the considered nonlinear interval-valued multiobjective programming problem and an optimal solution of its associated noninterval scalar weighting optimization problem is established.
引用
收藏
页码：155 / 162
页数：8
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