Saddle-Point Type Optimality for Interval-Valued Programming

被引：0

作者：

Sun, Yuhua ^{[1
]}

Wang, Laisheng ^{[1
]}

机构：

[1] China Agr Univ, Coll Sci, Beijing 100094, Peoples R China

来源：

2012 2ND INTERNATIONAL CONFERENCE ON UNCERTAINTY REASONING AND KNOWLEDGE ENGINEERING (URKE) | 2012年

关键词：

Optimality conditions; Lagrangian function; Saddle point; Interval-valued Programming; OPTIMIZATION PROBLEMS; DUALITY-THEORY; CONSTRAINTS;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we consider interval-valued programming where the objective function is an interval-valued function. We define the concepts of LU optimal solution to interval-valued programming problem. A real-valued Lagrangian function for interval-valued programming is defined. Further, the saddle point of Lagrangian function is also defined and saddle point optimality conditions are presented under (p, r)- rho -( eta, theta)-invexity assumptions.

引用

页码：252 / 255

页数：4

共 50 条

[21] On interval-valued invex mappings and optimality conditions for interval-valued optimization problems
Lifeng Li
Sanyang Liu
Jianke Zhang
[J]. Journal of Inequalities and Applications, 2015
[22] Characterization of LU-efficiency and saddle-point criteria for F-approximated multiobjective interval-valued variational problems
Jha, Shalini
Das, Prasun
Bandhyopadhyay, Sanghamitra
[J]. RESULTS IN CONTROL AND OPTIMIZATION, 2021, 4
[23] Saddle-Point Type Optimality Criteria for Optimization Problem over Cones
S. K. Suneja
Seema Khurana
[J]. OPSEARCH, 2003, 40 (2) : 81 - 96
[24] Saddle-Point Optimality: A Look Beyond Convexity
S. Zlobec
[J]. Journal of Global Optimization, 2004, 29 : 97 - 112
[25] Sufficient optimality, duality and saddle point analysis in terms of convexificators for nonsmooth robust fractional interval-valued optimization problems
Kummari, Krishna
Jaichander, Rekha R.
Ahmad, Izhar
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2024, 17 (02)
[26] Saddle-point Condition for Fractional Programming
Li, Xiangyou
[J]. PROCEEDINGS OF THE 2012 EIGHTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS 2012), 2012, : 82 - 85
[27] SADDLE-POINT OPTIMALITY CRITERIA OF NONLINEAR PROGRAMMING PROBLEMS OVER CONES WITHOUT DIFFERENTIABILITY
SPOSITO, VA
DAVID, HT
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1971, 20 (04) : 698 - &
[28] Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems
Zhang, Jianke
[J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
[29] OPTIMALITY, DUALITY AND SADDLE POINT CRITERIA FOR A ROBUST FRACTIONAL INTERVAL-VALUED OPTIMIZATION PROBLEM WITH UNCERTAIN INEQUALITY CONSTRAINTS VIA CONVEXIFICATORS
Kummari, Krishna
Jaichander, Rekha R.
Ahmad, Izhar
[J]. RAIRO-OPERATIONS RESEARCH, 2023, 57 (03) : 1397 - 1416
[30] Optimality and duality in constrained interval-valued optimization
Do Van Luu
Tran Thi Mai
[J]. 4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, 2018, 16 (03): : 311 - 337

← 1 2 3 4 5 →