VECTOR_OPTIMIZATION

作品数:38被引量:77H指数:6
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相关作者:盛宝怀刘三阳方亚平黄南京更多>>
相关机构:四川大学更多>>
相关期刊:《Progress in Natural Science:Materials International》《Applied Mathematics》《Acta Mathematica Sinica,English Series》《International Journal of Intelligent Computing and Cybernetics》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划山西省自然科学基金国家教育部博士点基金更多>>
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Stability of Generalized Minimax Regret Equilibria with Scalar Set Payoff
《Journal of Applied Mathematics and Physics》2022年第11期3281-3287,共7页Qiaoling Zhao 
In this paper, we first introduce the notion and model of generalized minimax regret equilibria with scalar set payoffs. After that, we study its general stability theorem under the conditions that the existence theor...
关键词:Minimax Regret Equilibria Set Payoff Generic Stability Vector Optimization 
Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential
《Acta Mathematicae Applicatae Sinica》2022年第2期337-351,共15页Yan-fei CHAI San-yang LIU Si-qi WANG 
supported by National Science Foundation of China(No.11401487);the Education Department of Shaanxi Province(No.17JK0330);the Fundamental Research Funds for the Central Universities(No.300102341101);State Key Laboratory of Rail Transit Engineering Informatization(No.211934210083)。
In this paper,we investigate dual problems for nonconvex set-valued vector optimization via abstract subdifferential.We first introduce a generalized augmented Lagrangian function induced by a coupling vector-valued f...
关键词:Nonconvex set-valued vector optimization abstract subdifferential generalized augmented Lagrangian duality exact penalization sub-optimal path 
A Kind of Equivalence of Three Nonlinear Scalarization Functions in Vector Optimization
《Journal of Systems Science & Complexity》2021年第2期692-705,共14页LI Fei YANG Xinmin 
the National Natural Science Foundation of China under Grant Nos.11601248,11431004,11971084。
In this paper,by the notions of base functionals and augmented dual cones,the authors indicate firstly that the norms,Gerstewitz functionals and oriented distance functions have common characteristics with base functi...
关键词:Base functionals Gerstewitz functionals norms oriented distance functions vector optimization 
Mathematical Apparatus for Selection of Optimal Parameters of Technical, Technological Systems and Materials Based on Vector Optimization
《American Journal of Operations Research》2020年第5期173-239,共67页Yu Mashunin 
We presented Mathematical apparatus of the choice of optimum parameters of technical, technological systems and materials on the basis of vector optimization. We have considered the formulation and solution of three t...
关键词:Vector Optimization Methods of Solution of Vector Problems Modeling of a Technical System Modeling Operation of Technological Processes Modeling of Structure of Material 
A Kind of Unified Strict Efficiency via Improvement Sets in Vector Optimization
《Journal of the Operations Research Society of China》2018年第4期557-569,共13页Hui Guo Yan-Qin Bai 
This research was supported by the National Natural Science Foundation of China(No.11671062);the Chongqing Municipal Education Commission(No.KJ1500310);the Doctor startup fund of Chongqing Normal University(No.16XLB010).
In this paper,we propose a kind of unified strict efficiency named E-strict efficiency via improvement sets for vector optimization.This kind of efficiency is shown to be an extension of the classical strict efficienc...
关键词:E-strict efficiency Improvement sets Linear scalarization Nonlinear scalarization Vector optimization 
Synchronous self-learning Pareto strategy An ensemble framework for vector and multi-criterion optimization
《International Journal of Intelligent Computing and Cybernetics》2018年第2期197-233,共37页Ahmad Mozaffari 
Purpose–In recent decades,development of effective methods for optimizing a set of conflicted objective functions has been absorbing an increasing interest from researchers.This refers to the essence of real-life eng...
关键词:Self-organizing map Swarm and evolutionary computation Unsupervised machine assisted optimization Vector optimization 
A Revised Pre-Order Principle and Set-Valued Ekeland Variational Principles with Generalized Distances
《Acta Mathematica Sinica,English Series》2017年第6期775-792,共18页Jing Hui QIU 
Supported by National Natural Science Foundation of China(Grant Nos.11471236 and 11561049)
In my former paper "A pre-order principle and set-valued Ekeland variational principle" (see [J. Math. Anal. Applo, 419, 904 937 (2014)]), we established a general pre-order principle. From the pre-order princip...
关键词:Pre-order principle Ekeland variational principle set-valued map perturbation locallyconvex space vector optimization 
Some Minimax Problems in Lexicographic Order
《Acta Mathematicae Applicatae Sinica》2017年第1期193-200,共8页Yu ZHANG Sheng-jie LI 
Supported by the National Natural Science Foundation of China(No.11171362,11571055)
In this paper, minimax theorems and saddle points for a class of vector-valued mappings f(x, y) = u(x) + β(x)v(y) are first investigated in the sense of lexicographic order, where u, v are two general vector...
关键词:vector Optimization Minimax theorem Lexicographic saddle point lexicographic equilibriumproblem 
Lower Semicontinuity of the Effcient Solution Mapping in Semi-In?nite Vector Optimization被引量:1
《Journal of Systems Science & Complexity》2015年第6期1312-1325,共14页GONG Xunhua 
supported by the National Natural Science Foundation of China under Grant Nos.11061023;11201216;and 11471291
This paper establishes some suffcient conditions for the lower semicontinuity of the effcient solution mapping for the semi-infinite vector optimization problem with perturbations of both the objective function and th...
关键词:Effcient solution mapping lower semicontinuity semi-infinite vector optimization vector equilibrium problem 
NON-CONFLICTING ORDERING CONES AND VECTOR OPTIMIZATION IN INDUCTIVE LIMITS
《Acta Mathematica Scientia》2014年第5期1670-1676,共7页丘京辉 
supported by the National Natural Science Foundation of China(10871141)
Let (E,ξ)=ind(En,ξn) be an inductive limit of a sequence (En,ξn)n∈N of locally convex spaces and let every step (En,ξn) be endowed with a partial order by a pointed convex (solid) cone Sn. In the framew...
关键词:locally convex space inductive limit vector optimization efficient point weakly efficient point 
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