Multi-Criteria Optimization Problems with Vector Heterogeneous Convolutions of Criteria

被引：0
|
作者：
Bryla, A. Yu. [1 ]
机构：
[1] State Higher Educ Inst Uzhhorod Natl Univ, Uzhgorod, Ukraine
来源：
CYBERNETICS AND SYSTEMS ANALYSIS | 2023年 / 59卷 / 06期
关键词：
multi-criteria optimization problem; convolutions of criteria; convolutions of convolutions; vector criteria; heterogeneous convolutions of criteria; LINEAR PROBLEM; ATTAINABILITY; STABILITY;
D O I：
10.1007/s10559-023-00635-6
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper presents the study of a multi-criteria decision-making problem with criterial preference orders where criteria are convolutions of convolutions. The author has investigated the cases where the equal importance subordination or strict ranking subordination on the set of vector criteria is specified. In both cases, convolutions within each of the partial vector criteria can be heterogeneous. The author has proved the equivalence of the considered problems to corresponding multi-criteria problems with homogeneous (identical) rankings within partial vector criteria.
引用
收藏
页码：997 / 1003
页数：7
相关论文
共 50 条
  • [1] Multi-Criteria Optimization Problems with Vector Heterogeneous Convolutions of Criteria
    A. Yu. Bryla
    [J]. Cybernetics and Systems Analysis, 2023, 59 : 997 - 1003
  • [2] Models of Multi-criteria Optimization with Quality Criteria
    Rozen, V. V.
    Smirnova, D. S.
    [J]. IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2013, 13 (02): : 8 - 8
  • [3] Approximating the Pareto Front of Multi-criteria Optimization Problems
    Legrie, Julien
    Le Guernic, Colas
    Cotton, Scott
    Maier, Oded
    [J]. TOOLS AND ALGORITHMS FOR THE CONSTRUCTION AND ANALYSIS OF SYSTEMS, PROCEEDINGS, 2010, 6015 : 69 - 83
  • [4] APPLICATION OF PRIMITIVE SETS TO MULTI-CRITERIA OPTIMIZATION PROBLEMS
    ROM, WO
    HUNG, MS
    [J]. JOURNAL OF MATHEMATICAL ECONOMICS, 1980, 7 (01) : 77 - 90
  • [5] Multi-criteria genetic optimization for distribution network problems
    F.T.S. Chan
    S.H. Chung
    [J]. The International Journal of Advanced Manufacturing Technology, 2004, 24 : 517 - 532
  • [6] Multi-criteria genetic optimization for distribution network problems
    Chan, FTS
    Chung, SH
    [J]. INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2004, 24 (7-8): : 517 - 532
  • [7] On the equivalence of multi-criteria fluence map optimization problems
    Romeijn, H
    Dempsey, J
    Li, J
    [J]. MEDICAL PHYSICS, 2004, 31 (06) : 1777 - 1777
  • [8] Multi-criteria optimization in regression
    Tsionas, Mike G.
    [J]. ANNALS OF OPERATIONS RESEARCH, 2021, 306 (1-2) : 7 - 25
  • [9] MULTI-CRITERIA OPTIMIZATION OF REFINERY
    Livshits, Mikhail Yu
    Sizikov, Aleksandr P.
    [J]. THERMOPHYSICAL BASIS OF ENERGY TECHNOLOGIES 2015, 2016, 110
  • [10] Multi-criteria optimization in industry
    Kuefer, Karl-Heinz
    Miettinen, Kaisa
    Ruzika, Stefan
    Sayin, Serpil
    [J]. OR SPECTRUM, 2022, 44 (02) : 303 - 305
12345