Characterization of LU-efficiency and saddle-point criteria for F-approximated multiobjective interval-valued variational problems

被引：8
|
作者：
Jha, Shalini [1 ]
Das, Prasun [2 ]
Bandhyopadhyay, Sanghamitra [1 ]
机构：
[1] Indian Stat Inst, Machine Intelligence Unit, 203 BT Rd, Kolkata 700 108, India
[2] Indian Stat Inst, SQC & Unit, 203 BT Rd, Kolkata 700108, India
来源：
RESULTS IN CONTROL AND OPTIMIZATION | 2021年 / 4卷
关键词：
Variational problem with interval-valued; multiple objective functions; Generalized convex function; Modified objective function method; LU-saddle-point criteria; TUCKER OPTIMALITY CONDITIONS; OPTIMIZATION PROBLEM; OBJECTIVE FUNCTION; SUFFICIENCY; DUALITY; KKT;
D O I：
10.1016/j.rico.2021.100044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper aims to find a solution of interval uncertainty to multiobjective variational problems. For this, we consider an interval -valued multiobjective variational problem. Then, by using the modified F -objective function method, we construct associated interval -valued multiobjective variational problem with the modified F -objective functions. We establish a relationship between LU-pareto optimal solution of original problem and its associated modified problem by using the concept of LU-F-convexity and LU-F-pseudoconvexity. Further, we define LULagrange function and its saddle point to discuss the efficient solution of original problem through it. We provide an example to validate our results numerically.
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页数：11
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