Characterization of properly efficient solutions by generalized scalarization methods

DOI10.1007/BF00935368zbMath0502.90077MaRDI QIDQ1173016

William B. Gearhart

Publication date: 1983

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

optimal solutionsmultiple-objective optimizationproperly efficient pointsscalarization methods

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31)

Related Items (7)

General communication schemes for multiobjective decision making ⋮ On the completeness and constructiveness of parametric characterizations to vector optimization problems ⋮ Characterizing the nondominated set by separable functions ⋮ Families of differentiable scalarization functions ⋮ Value functions, domination cones and proper efficiency in multicriteria optimization ⋮ Exponential transformation in convexifying a noninferior frontier and exponential generating method ⋮ Some Chebyshev approximations by polynomials in two variables

Cites Work

• An improved definition of proper efficiency for vector maximization with respect to cones
• Compromise solutions and estimation of the noninferior set
• Proper efficiency with respect to cones
• Compromise solutions, domination structures, and Salukvadze's solution
• Proper efficiency and the theory of vector maximization
• Proper Efficient Points for Maximizations with Respect to Cones
• Convex Analysis
• A Class of Solutions for Group Decision Problems
• Unnamed Item

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