On Scalarization of Vector Optimization Type Problems

被引：3

作者：

Konnov, I. V. ^{[1
]}

机构：

[1] Kazan Volga Reg Fed Univ, Ul Kremlyovskaya 18, Kazan 420008, Russia

来源：

RUSSIAN MATHEMATICS | 2012年 / 56卷 / 09期

关键词：

vector problems; scalarization; algorithm for weights choice;

D O I：

10.3103/S1066369X12090022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider scalarization issues for vector problems in the case where the preference relation is represented by a rather arbitrary set. An algorithm for weights choice for a priori unknown preference relations is suggested. Some examples of applications to vector optimization, game equilibrium, and variational inequalities are described.

引用

页码：5 / 13

页数：9

共 50 条

[31] Scalarization on short vector machines [J].

Zhao, Y ;

Kennedy, K .

ISPASS 2005: IEEE INTERNATIONAL SYMPOSIUM ON PERFORMANCE ANALYSIS OF SYSTEMS AND SOFTWARE, 2005, :187-196

[32] An Evolutionary Optimization Method Based on Scalarization for Multi-objective Problems [J].

Studniarski, Marcin ;

Al-Jawadi, Radhwan ;

Younus, Aisha .

INFORMATION SYSTEMS ARCHITECTURE AND TECHNOLOGY, PT I, 2018, 655 :48-58

[33] Continuity of Solutions for Parametric Set Optimization Problems via Scalarization Methods [J].

Liu, Pei-Pei ;

Wei, Hong-Zhi ;

Chen, Chun-Rong ;

Li, Sheng-Jie .

JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2021, 9 (01) :79-97

[34] Scalarization of Levitin–Polyak well-posedness in vector optimization using weak efficiency [J].

Prashanto Chatterjee ;

C. S. Lalitha .

Optimization Letters, 2015, 9 :329-343

[35] OPTIMALITY AND SCALARIZATION OF APPROXIMATE SOLUTIONS FOR VECTOR EQUILIBRIUM PROBLEMS VIA MICHEL-PENOT SUBDIFFERENTIAL [J].

Fan C. ;

Yu G. ;

Hua S. .

Applied Set-Valued Analysis and Optimization, 2024, 6 (02) :233-244

[36] Scalarization of Levitin-Polyak well-posedness in vector optimization using weak efficiency [J].

Chatterjee, Prashanto ;

Lalitha, C. S. .

OPTIMIZATION LETTERS, 2015, 9 (02) :329-343

[37] A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials [J].

Karaman, Emrah .

KUWAIT JOURNAL OF SCIENCE, 2021, 48 (02)

[38] Scalarization and Nonlinear Scalar Duality for Vector Optimization with Preferences that are not necessarily a Pre-order Relation [J].

A.M. Rubinov ;

R.N. Gasimov .

Journal of Global Optimization, 2004, 29 :455-477

[39] Scalarization and nonlinear scalar duality for vector optimization with preferences that are not necessarily a pre-order relation [J].

Rubinov, AM ;

Gasimov, RN .

JOURNAL OF GLOBAL OPTIMIZATION, 2004, 29 (04) :455-477

[40] A SUBGRADIENT METHOD FOR VECTOR OPTIMIZATION PROBLEMS [J].

Bello Cruz, J. Y. .

SIAM JOURNAL ON OPTIMIZATION, 2013, 23 (04) :2169-2182

← 1 2 3 4 5 →