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GECCO
2010
Springer

Set-based multi-objective optimization, indicators, and deteriorative cycles

8 years 10 months ago
Set-based multi-objective optimization, indicators, and deteriorative cycles
Evolutionary multi-objective optimization deals with the task of computing a minimal set of search points according to a given set of objective functions. The task has been made explicit in a recent paper by Zitzler et al. [13]. We take an order-theoretic view on this task and examine how the use of indicator functions can help to direct the search towards Pareto optimal sets. Thereby, we point out that evolutionary algorithms for multi-objective optimization working on the dominance relation of search points have to deal with a cyclic behavior that may lead to worsenings with respect to the Pareto-dominance relation defined on sets. Later on, we point out in which situations well-known binary and unary indicators can help to avoid this cyclic behavior. Categories and Subject Descriptors F.2 [Theory of Computation]: Analysis of Algorithms and Problem Complexity General Terms Theory, Algorithms, Measurement, Performance Keywords Multiobjective Optimization, Performance Measures, Hyper...
Rudolf Berghammer, Tobias Friedrich, Frank Neumann
Added 25 Jan 2011
Updated 25 Jan 2011
Type Journal
Year 2010
Where GECCO
Authors Rudolf Berghammer, Tobias Friedrich, Frank Neumann
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