Results 271 to 280 of about 8,579,021 (292)

Optimality Conditions for Vector Optimization Problems

2014
In this chapter we provide subdifferential information for the scalarization functionals introduced in Chap. 6. Based on that we are able to formulate necessary and sufficient optimality conditions of Fermat and Lagrange type for unconstrained and constrained vector optimization problems with (set-valued) objective maps mapping in a real linear space ...
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Scalarization of vector optimization problems

Journal of Optimization Theory and Applications, 1987
We investigate the scalar representation of vector optimization problems in close connection with monotonic functions. We show that it is possible to construct linear, convex, and quasiconvex representations for linear, convex, and quasiconvex vector problems, respectively.
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Handling Imbalanced Classification Problems With Support Vector Machines via Evolutionary Bilevel Optimization

IEEE Transactions on Cybernetics, 2023
Francisco Herrera, Alejandro Rosales Pérez, Salvador García   +2 more
exaly  

Vector Stochastic Optimization Problems

2001
A vector optimization problem is studied, whose objective function is a vector of distribution functions depending on a vector of decision variables. Properties of the model are investigated and a scalar representation in terms of the joint distribution function is proposed.
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An Adaptive Reference Vector-Guided Evolutionary Algorithm Using Growing Neural Gas for Many-Objective Optimization of Irregular Problems

IEEE Transactions on Cybernetics, 2022
Tobias Rodemann, Yaochu Jin, Guo Yu
exaly  

Vector Variational-Like Inequalities and Non-Smooth Vector Optimization Problems

Nonlinear Analysis: Theory, Methods & Applications, 2006
S K Mishra, S Y Wang
exaly  

Generalized Minty Vector Variational-Like Inequalities and Vector Optimization Problems

Journal of Optimization Theory and Applications, 2010
Qamrul Hasan Ansari, Suliman Al-Homidan
exaly  

Scalarization Approaches for Set-Valued Vector Optimization Problems and Vector Variational Inequalities

Journal of Mathematical Analysis and Applications, 2009
Nan-jing Huang, Sy-Ming Guu
exaly  

On Vector Optimization Problems and Vector Variational Inequalities Using Convexificators

Optimization, 2017
Shashi Kant Mishra, Vivek Laha
exaly  

Scalarization and Pointwise Well-Posedness in Vector Optimization Problems

Journal of Global Optimization, 2011
Sanyang Liu
exaly