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Set-based multi-objective optimization,. (2010).
| Content Provider | CiteSeerX |
|---|---|
| Author | Berghammer, Rudolf Friedrich, Tobias Neumann, Frank |
| Abstract | Evolutionary multi-objective optimization deals with the task of computing a minimal set of search points according toagivensetofobjectivefunctions. Thetaskhasbeenmade 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. |
| File Format | |
| Publisher Date | 2010-01-01 |
| Access Restriction | Open |
| Subject Keyword | Set-based Multi-objective Optimization Search Point Cyclic Behavior Order-theoretic View Indicator Function Minimal Set Evolutionary Multi-objective Optimization Deal Search Towards Pareto Optimal Set Dominance Relation Thetaskhasbeenmade Explicit Pareto-dominance Relation Evolutionary Algorithm Recent Paper Multi-objective Optimization Unary Indicator |
| Content Type | Text |
