Computational methods for set-relation-based scalarizing functions

zbMath1417.90135MaRDI QIDQ1752024

Yutaka Saito, Tamaki Tanaka, Yuto Ogata, Koichiro Ike, Hui Yu

Publication date: 25 May 2018

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1524708088

zbMATH Keywords

computational methodset optimizationset-relationscalarizing functionsublinear scalarization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (4)

Convex-cone-based comparisons of and difference evaluations for fuzzy sets ⋮ An alternative theorem for set-valued maps via set relations and its application to robustness of feasible sets ⋮ Conjugate duality in set optimization via nonlinear scalarization ⋮ A calculation approach to scalarization for polyhedral sets by means of set relations

Cites Work

• Set optimization and applications -- the state of the art. From set relations to set-valued risk measures
• Variational methods in partially ordered spaces
• Fan's inequality for set-valued maps.
• Vector optimization. Set-valued and variational analysis.
• On cone convexity of set-valued maps
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