Conic Scalarization Method in Multiobjective Optimization and Relations with Other Scalarization Methods

DOI10.1007/978-3-319-18161-5_27zbMath1370.90246OpenAlexW2294971140MaRDI QIDQ5356996

Refail Kasimbeyli, Nergiz Kasimbeyli, Banu Icmen, Gulcin Dinc Yalcin, Zehra Kamisli Ozturk

Publication date: 12 September 2017

Published in: Advances in Intelligent Systems and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18161-5_27

zbMATH Keywords

multiobjective optimizationproper efficiencyweighted sum methodPascoletti-Serafini methodconic scalarization methodweighted Chebyshev methodbenson's methodepsilon constraint method

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31)

Related Items (4)

A coradiant based scalarization to characterize approximate solutions of vector optimization problems with variable ordering structures ⋮ A multi-objective genetic algorithm for a special type of 2D orthogonal packing problems ⋮ Comparison of some scalarization methods in multiobjective optimization ⋮ A unified characterization of nonlinear scalarizing functionals in optimization

Cites Work

• Unnamed Item
• Unnamed Item
• Scalarization and nonlinear scalar duality for vector optimization with preferences that are not necessarily a pre-order relation
• Nonconvex separation theorems and some applications in vector optimization
• A multi-objective programming approach to 1.5-dimensional assortment problem
• An improved definition of proper efficiency for vector maximization with respect to cones
• Proper efficiency with respect to cones
• Combined forecasts in portfolio optimization: a generalized approach
• On augmented Lagrangians for optimization problems with a single constraint
• Augmented Lagrangian duality and nondifferentiable optimization methods in nonconvex programming
• Scalarizing vector optimization problems
• The analytic hierarchy process and multiobjective 0--1 faculty course assignment
• A conic scalarization method in multi-objective optimization
• On a Theorem of Arrow, Barankin, and Blackwell
• Adaptive Scalarization Methods in Multiobjective Optimization
• A Nonlinear Cone Separation Theorem and Scalarization in Nonconvex Vector Optimization
• Radial epiderivatives and set-valued optimization
• The modified subgradient algorithm based on feasible values
• Multicriteria Optimization
• Separation via polyhedral conic functions
• Multiobjective Programming and Multiattribute Utility Functions in Portfolio Optimization

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