The domination property in multicriteria optimization
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Publication:1094337
DOI10.1016/0022-247X(86)90061-2zbMath0629.90084OpenAlexW2076889466MaRDI QIDQ1094337
Publication date: 1986
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(86)90061-2
semicontinuitymulti-objectivedomination propertiessufficient condition for the existence of an efficient point
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Cites Work
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- On the domination property in vector optimization
- An improved definition of proper efficiency for vector maximization with respect to cones
- Proper efficiency with respect to cones
- On a domination property for vector maximization with respect to cones
- A survey of multicriteria optimization or the vector maximum problem. I: 1776-1960
- The structure of admissible points with respect to cone dominance
- Proper efficiency and the theory of vector maximization
- Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
- Existence and characterization of efficient decisions with respect to cones
- Proper Efficient Points for Maximizations with Respect to Cones
- Nonconvex Duality in Multiobjective Optimization
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