Vectorization in set optimization
From MaRDI portal
Publication:261980
DOI10.1007/s10957-013-0363-zzbMath1368.90142OpenAlexW2030876301MaRDI QIDQ261980
Publication date: 29 March 2016
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-013-0363-z
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)
Related Items (40)
Solving set-valued optimization problems using a multiobjective approach ⋮ Set optimization problems of generalized semi-continuous set-valued maps with applications ⋮ Characterizations of the set less order relation in nonconvex set optimization ⋮ Optimality conditions for set-valued optimisation problems using a modified Demyanov difference ⋮ Karush-Kuhn-Tucker conditions in set optimization ⋮ A Vectorization Scheme for Nonconvex Set Optimization Problems ⋮ Partial order relations on family of sets and scalarizations for set optimization ⋮ An algorithmic approach to multiobjective optimization with decision uncertainty ⋮ Optimality conditions for set optimization using a directional derivative based on generalized Steiner sets ⋮ Pointwise well-posedness and scalarization in set optimization ⋮ On scalarization and well-posedness in set optimization with a partial set order relation ⋮ Characterizations of set order relations and nonlinear scalarizations via generalized oriented distance function in set optimization ⋮ Characterizations of multi-objective robustness solutions defined by Minkowski set difference ⋮ Optimality and error bound for set optimization with application to uncertain multi-objective programming ⋮ Optimality conditions in set-valued optimization problem with respect to a partial order relation via directional derivative ⋮ Hard uncertainties in multiobjective layout optimization of photovoltaic power plants ⋮ Unnamed Item ⋮ Solving set optimization problems based on the concept of null set ⋮ A unified characterization of multiobjective robustness via separation ⋮ Optimality conditions and minimax properties in set optimization ⋮ Scalarization of multiobjective robust optimization problems ⋮ Set approach for set optimization with variable ordering structures. I: Set relations and relationship to vector approach ⋮ Set approach for set optimization with variable ordering structures. II: Scalarization approaches ⋮ A set scalarization function based on the oriented distance and relations with other set scalarizations ⋮ A generalized scalarization method in set optimization with respect to variable domination structures ⋮ Nonlinear scalarization functions and polar cone in set optimization ⋮ A vectorization for nonconvex set-valued optimization ⋮ Some optimality criteria of interval programming problems ⋮ Lagrange Multiplier Rules for Weakly Minimal Solutions of Compact-Valued Set Optimization Problems ⋮ Continuity of solutions for parametric set optimization problems via scalarization methods ⋮ Six set scalarizations based on the oriented distance: properties and application to set optimization ⋮ On Lagrange Multiplier Rules for Set-Valued Optimization Problems in the Sense of Set Criterion ⋮ Three concepts of robust efficiency for uncertain multiobjective optimization problems via set order relations ⋮ Scalar characterizations of cone-continuous set-valued maps ⋮ Optimality conditions in set-valued optimization problems with respect to a partial order relation by using subdifferentials ⋮ Treatment of set order relations by means of a nonlinear scalarization functional: a full characterization ⋮ Nonlinear scalarizing functions in set optimization problems ⋮ Scalarizations for a set optimization problem using generalized oriented distance function ⋮ A unified characterization of nonlinear scalarizing functionals in optimization ⋮ A derivative-free descent method in set optimization
Cites Work
- New order relations in set optimization
- The algebra of many-valued quantities
- Scalarizing vector optimization problems
- Scalarization in set optimization with solid and nonsolid ordering cones
- Notes about extended real- and set-valued functions
- Vector Optimization
- Duality for Set-Valued Measures of Risk
- Multivalued convexity and optimization: A unified approach to inequality and equality constraints
- SUBLINEAR OPERATORS AND THEIR APPLICATIONS
- On cone convexity of set-valued maps
- An algorithm to solve polyhedral convex set optimization problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Vectorization in set optimization
