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

被引：0
|
作者：
Qamrul Hasan Ansari
Elisabeth Köbis
Pradeep Kumar Sharma
机构：
[1] Aligarh Muslim University,Department of Mathematics
[2] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
[3] Martin-Luther-University Halle-Wittenberg,Institute of Mathematics
来源：
Journal of Optimization Theory and Applications | 2019年 / 181卷
关键词：
Oriented distance function; Set relations; Image space analysis; Uncertain multiobjective optimization; Robustness; 49J53; 90C29; 90C30; 90C31;
D O I：
暂无
中图分类号：
学科分类号：
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：22
相关论文
共 50 条
  • [41] OPTIMALITY CONDITIONS FOR VECTOR VARIATIONAL INEQUALITIES VIA IMAGE SPACE ANALYSIS
    Mastroeni, G.
    Pappalardo, M.
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2021, 5 (05): : 673 - 682
  • [42] Retinal Image Denoising via Bilateral Filter with a Spatial Kernel of Optimally Oriented Line Spread Function
    He, Yunlong
    Zheng, Yuanjie
    Zhao, Yanna
    Ren, Yanju
    Lian, Jian
    Gee, James
    COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE, 2017, 2017
  • [43] Conjugate duality for constrained optimization via image space analysis and abstract convexity
    C. L. Yao
    S. J. Li
    Optimization Letters, 2019, 13 : 349 - 366
  • [44] Some Perspectives on Set-Valued Optimization via Image Space Analysis
    Pellegrini, Letizia
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2018, 177 (03) : 811 - 815
  • [45] Conjugate duality for constrained optimization via image space analysis and abstract convexity
    Yao, C. L.
    Li, S. J.
    OPTIMIZATION LETTERS, 2019, 13 (02) : 349 - 366
  • [46] Some Perspectives on Set-Valued Optimization via Image Space Analysis
    Letizia Pellegrini
    Journal of Optimization Theory and Applications, 2018, 177 : 811 - 815
  • [47] Object-oriented image analysis via analogic CNN algorithms - Part II: Image synthesis and consistency observation
    Grassi, G
    Grieco, LA
    CELLULAR NEURAL NETWORKS AND THEIR APPLICATIONS, 2002, : 180 - 187
  • [48] Image Emotion Analysis Based on the Distance Relation of Emotion Categories via Deep Metric Learning
    Peng, Guoqin
    Zhang, Hao
    Xu, Dan
    ADVANCES IN COMPUTER GRAPHICS, CGI 2021, 2021, 13002 : 535 - 547
  • [49] THERMAL ROBUSTNESS ASSESSMENT OF A RIGIDIZED SPACE INFLATABLE BOOM VIA EXPERIMENTAL MODAL ANALYSIS AND FINITE ELEMENT MODELING
    Daly, Matthew
    Salehian, Armaghan
    Doosthoseini, Alireza
    PROCEEDINGS OF THE ASME CONFERENCE ON SMART MATERIALS, ADAPTIVE STRUCTURES AND INTELLIGENT SYSTEMS, 2010, VOL. 1, 2010, : 453 - 459
  • [50] LOCAL ANALYSIS VIA THE REAL-SPACE GREENS-FUNCTION METHOD
    WU, SY
    JAYANTHI, CS
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1995, 9 (16): : 1869 - 1897
12345