NONLINEAR SCALARIZATION CHARACTERIZATIONS OF E-EFFICIENCY IN VECTOR OPTIMIZATION

被引：7
作者：
Zhao, Ke-Quan [1 ]
Xia, Yuan-Mei [1 ]
Yang, Xin-Min [1 ]
机构：
[1] Chongqing Normal Univ, Coll Math Sci, Chongqing 401331, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2015年 / 19卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Nonlinear scalarization functions; E-Efficient solutions; Weak E-efficient solutions; Vector optimization; OPTIMALITY CONDITIONS; APPROXIMATE SOLUTIONS;
D O I：
10.11650/tjm.19.2015.4360
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, two kinds of nonlinear scalarization functions are applied to characterize E-efficient solutions and weak E-efficient solutions of vector optimization problems and some nonlinear scalarization characterizations are obtained. Some examples also are given to illustrate the main results.
引用
收藏
页码：455 / 466
页数：12
相关论文
共 12 条
  • [1] [Anonymous], 2003, Variational Methods in Partially Ordered Spaces
  • [2] Characterizations for solidness of dual cones with applications
    Chiang, Y.
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2012, 52 (01) : 79 - 94
  • [3] Vector Optimization Problems via Improvement Sets
    Chicco, M.
    Mignanego, F.
    Pusillo, L.
    Tijs, S.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 150 (03) : 516 - 529
  • [4] A unified vector optimization problem: complete scalarizations and applications
    Flores-Bazan, Fabian
    Hernandez, Elvira
    [J]. OPTIMIZATION, 2011, 60 (12) : 1399 - 1419
  • [5] OPTIMALITY CONDITIONS FOR APPROXIMATE SOLUTIONS OF VECTOR OPTIMIZATION PROBLEMS
    Gao, Ying
    Yang, Xinmin
    Teo, Kok Lay
    [J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2011, 7 (02) : 483 - 496
  • [6] On approximate efficiency in multiobjective programming
    Gutierrez, C.
    Jimenez, B.
    Novo, V.
    [J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2006, 64 (01) : 165 - 185
  • [7] Improvement sets and vector optimization
    Gutierrez, C.
    Jimenez, B.
    Novo, V.
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2012, 223 (02) : 304 - 311
  • [8] Unified approach and optimality conditions for approximate solutions of vector optimization problems
    Gutierrez, Cesar
    Jimenez, Bienvenido
    Novo, Vicente
    [J]. SIAM JOURNAL ON OPTIMIZATION, 2006, 17 (03) : 688 - 710
  • [9] Degrees of efficiency and degrees of minimality
    Zaffaroni, A
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 42 (03) : 1071 - 1086
  • [10] E-Benson proper efficiency in vector optimization
    Zhao, Ke Quan
    Yang, Xin Min
    [J]. OPTIMIZATION, 2015, 64 (04) : 739 - 752
12