Characterizations of Multiobjective Robustness via Oriented Distance Function and Image Space Analysis

被引：36
|
作者：
Ansari, Qamrul Hasan [1 ,2 ]
Koebis, Elisabeth [3 ]
Sharma, Pradeep Kumar [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia
[3] Martin Luther Univ Halle Wittenberg, Inst Math, D-06099 Halle, Saale, Germany
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2019年 / 181卷 / 03期
关键词：
Oriented distance function; Set relations; Image space analysis; Uncertain multiobjective optimization; Robustness; 49J53; 90C29; 90C30; 90C31;
D O I：
10.1007/s10957-019-01505-y
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we characterize different kinds of multiobjective robustness concepts via the well-known oriented distance function. By using characterizations of several set relations via the oriented distance function, together with the help of image space analysis, we construct some suitable subsets of the scalarization image space to obtain equivalent characterizations for various robust solutions for uncertain multiobjective optimization problems based on a set approach.
引用
收藏
页码：817 / 839
页数：23
相关论文
共 50 条
  • [31] Some Perspectives on Vector Optimization via Image Space Analysis
    Franco Giannessi
    Journal of Optimization Theory and Applications, 2018, 177 : 906 - 912
  • [32] Some Perspectives on Vector Optimization via Image Space Analysis
    Giannessi, Franco
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2018, 177 (03) : 906 - 912
  • [33] SOME TOPICS IN VECTOR OPTIMIZATION VIA IMAGE SPACE ANALYSIS
    Mastroeni, G.
    Pappalardo, M.
    Raciti, F.
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2020, 4 (01): : 5 - 20
  • [34] A new approach to constrained optimization via image space analysis
    Chinaie, M.
    Zafarani, J.
    POSITIVITY, 2016, 20 (01) : 99 - 114
  • [35] Vector Topical Function, Abstract Convexity and Image Space Analysis
    Chaoli Yao
    Shengjie Li
    Journal of Optimization Theory and Applications, 2018, 177 : 717 - 742
  • [36] Vector Topical Function, Abstract Convexity and Image Space Analysis
    Yao, Chaoli
    Li, Shengjie
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2018, 177 (03) : 717 - 742
  • [37] Stabilizing Predictive Visual Feedback Control via Image Space Navigation Function
    Murao, Toshiyuki
    Kawai, Hiroyuki
    Fujita, Masayuki
    ELECTRONICS AND COMMUNICATIONS IN JAPAN, 2013, 96 (10) : 12 - 21
  • [38] Image Analysis Oriented Integrated Sensing and Communication via Intelligent Reflecting Surface
    Huang, Ning
    Dou, Chenglong
    Wu, Yuan
    Qian, Liping
    Zhou, Sheng
    Lu, Rongxing
    IEEE TRANSACTIONS ON COGNITIVE COMMUNICATIONS AND NETWORKING, 2025, 11 (01) : 274 - 287
  • [39] Image Splicing Detection via Camera Response Function Analysis
    Chen, Can
    McCloskey, Scott
    Yu, Jingyi
    30TH IEEE CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION (CVPR 2017), 2017, : 1876 - 1885
  • [40] Towards Food Image Retrieval via Generalization-Oriented Sampling and Loss Function Design
    Song, Jiajun
    Li, Zhuo
    Min, Weiqing
    Jiang, Shuqiang
    ACM TRANSACTIONS ON MULTIMEDIA COMPUTING COMMUNICATIONS AND APPLICATIONS, 2024, 20 (01)
12345