Pareto group structure in a multicriteria optimization problem

Pareto group structure in a multicriteria optimization problem

A multicriteria choice problem is considered. It is proposed to solve this problem by requiring the solution to be invariant under a certain group of transformations. Groups of transformations of a linear space that preserve the Pareto order in this space are investigated. The maximum group of such...

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Veröffentlicht in:Cybernetics and systems analysis 2010-09, Vol.46 (5), p.803-806
1. Verfasser: Kozin, I. V.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Artificial Intelligence
Control
Cybernetics
Decision making
Efficiency
Inequality
Invariants
Mathematical analysis
Mathematics
Mathematics and Statistics
Optimization
Pareto optimality
Pareto optimum
Preserves
Processor Architectures
Software Engineering/Programming and Operating Systems
Studies
Subgroups
Systems Theory
Transformations
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Beschreibung
Zusammenfassung:A multicriteria choice problem is considered. It is proposed to solve this problem by requiring the solution to be invariant under a certain group of transformations. Groups of transformations of a linear space that preserve the Pareto order in this space are investigated. The maximum group of such transformations is calculated up to group isomorphism. The most interesting discrete and continuous subgroups of the Pareto group are considered.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-010-9261-7