Combining convergence and diversity in evolutionary multiobjective optimization
Evolutionary Computation
Multiobjective Optimization Using Evolutionary Algorithms - A Comparative Case Study
PPSN V Proceedings of the 5th International Conference on Parallel Problem Solving from Nature
Multiobjective evolutionary algorithms: classifications, analyses, and new innovations
Multiobjective evolutionary algorithms: classifications, analyses, and new innovations
Comparison of Multiobjective Evolutionary Algorithms: Empirical Results
Evolutionary Computation
The measure of Pareto optima applications to multi-objective metaheuristics
EMO'03 Proceedings of the 2nd international conference on Evolutionary multi-criterion optimization
An EMO algorithm using the hypervolume measure as selection criterion
EMO'05 Proceedings of the Third international conference on Evolutionary Multi-Criterion Optimization
A new analysis of the lebmeasure algorithm for calculating hypervolume
EMO'05 Proceedings of the Third international conference on Evolutionary Multi-Criterion Optimization
Multiobjective evolutionary algorithms: a comparative case studyand the strength Pareto approach
IEEE Transactions on Evolutionary Computation
Performance assessment of multiobjective optimizers: an analysis and review
IEEE Transactions on Evolutionary Computation
A faster algorithm for calculating hypervolume
IEEE Transactions on Evolutionary Computation
Analyzing Hypervolume Indicator Based Algorithms
Proceedings of the 10th international conference on Parallel Problem Solving from Nature: PPSN X
SPAM: Set Preference Algorithm for Multiobjective Optimization
Proceedings of the 10th international conference on Parallel Problem Solving from Nature: PPSN X
Consideration of Partial User Preferences in Evolutionary Multiobjective Optimization
Multiobjective Optimization
Quality Assessment of Pareto Set Approximations
Multiobjective Optimization
Theory of the hypervolume indicator: optimal μ-distributions and the choice of the reference point
Proceedings of the tenth ACM SIGEVO workshop on Foundations of genetic algorithms
Don't be greedy when calculating hypervolume contributions
Proceedings of the tenth ACM SIGEVO workshop on Foundations of genetic algorithms
Spread Assessment for Evolutionary Multi-Objective Optimization
EMO '09 Proceedings of the 5th International Conference on Evolutionary Multi-Criterion Optimization
Objective reduction in evolutionary multiobjective optimization: Theory and applications
Evolutionary Computation
Articulating user preferences in many-objective problems by sampling the weighted hypervolume
Proceedings of the 11th Annual conference on Genetic and evolutionary computation
Investigating and exploiting the bias of the weighted hypervolume to articulate user preferences
Proceedings of the 11th Annual conference on Genetic and evolutionary computation
Multiplicative approximations and the hypervolume indicator
Proceedings of the 11th Annual conference on Genetic and evolutionary computation
A stopping criterion based on Kalman estimation techniques with several progress indicators
Proceedings of the 11th Annual conference on Genetic and evolutionary computation
On the Model---Building Issue of Multi---Objective Estimation of Distribution Algorithms
HAIS '09 Proceedings of the 4th International Conference on Hybrid Artificial Intelligence Systems
S-metric calculation by considering dominated hypervolume as klee's measure problem
Evolutionary Computation
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
Pareto-dominance in noisy environments
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
HM'07 Proceedings of the 4th international conference on Hybrid metaheuristics
On set-based multiobjective optimization
IEEE Transactions on Evolutionary Computation
Evolving agent behavior in multiobjective domains using fitness-based shaping
Proceedings of the 12th annual conference on Genetic and evolutionary computation
Set-based multi-objective optimization, indicators, and deteriorative cycles
Proceedings of the 12th annual conference on Genetic and evolutionary computation
The maximum hypervolume set yields near-optimal approximation
Proceedings of the 12th annual conference on Genetic and evolutionary computation
Simultaneous use of different scalarizing functions in MOEA/D
Proceedings of the 12th annual conference on Genetic and evolutionary computation
Proceedings of the 12th annual conference on Genetic and evolutionary computation
Constraint handling with modified hypervolume indicator for multi-objective optimization problems
Proceedings of the 12th annual conference companion on Genetic and evolutionary computation
PPSN'10 Proceedings of the 11th international conference on Parallel problem solving from nature: Part I
Tight bounds for the approximation ratio of the hypervolume indicator
PPSN'10 Proceedings of the 11th international conference on Parallel problem solving from nature: Part I
Improved dynamic lexicographic ordering for multi-objective optimisation
PPSN'10 Proceedings of the 11th international conference on Parallel problem solving from nature: Part II
IEEE Transactions on Evolutionary Computation - Special issue on preference-based multiobjective evolutionary algorithms
An efficient algorithm for computing hypervolume contributions**
Evolutionary Computation
Reliability-driven deployment optimization for embedded systems
Journal of Systems and Software
The logarithmic hypervolume indicator
Proceedings of the 11th workshop proceedings on Foundations of genetic algorithms
Hype: An algorithm for fast hypervolume-based many-objective optimization
Evolutionary Computation
Effects of the existence of highly correlated objectives on the behavior of MOEA/D
EMO'11 Proceedings of the 6th international conference on Evolutionary multi-criterion optimization
Component deployment optimisation with bayesian learning
Proceedings of the 14th international ACM Sigsoft symposium on Component based software engineering
Proceedings of the 13th annual conference on Genetic and evolutionary computation
Proceedings of the 13th annual conference on Genetic and evolutionary computation
Set-based multiobjective fitness landscapes: a preliminary study
Proceedings of the 13th annual conference on Genetic and evolutionary computation
Design of robust metabolic pathways
Proceedings of the 48th Design Automation Conference
Evolution strategies and multi-objective optimization of permanent magnet motor
Applied Soft Computing
Hypervolume-based multiobjective optimization: Theoretical foundations and practical implications
Theoretical Computer Science
Alleviate the hypervolume degeneration problem of NSGA-II
ICONIP'11 Proceedings of the 18th international conference on Neural Information Processing - Volume Part II
Weighted preferences in evolutionary multi-objective optimization
AI'11 Proceedings of the 24th international conference on Advances in Artificial Intelligence
"Smart" design space sampling to predict Pareto-optimal solutions
Proceedings of the 13th ACM SIGPLAN/SIGBED International Conference on Languages, Compilers, Tools and Theory for Embedded Systems
Convergence of hypervolume-based archiving algorithms ii: competitiveness
Proceedings of the 14th annual conference on Genetic and evolutionary computation
Proceedings of the 14th annual conference on Genetic and evolutionary computation
Leveraging indicator-based ensemble selection in evolutionary multiobjective optimization algorithms
Proceedings of the 14th annual conference on Genetic and evolutionary computation
Evolutionary design of experiments using the MapReduce framework
Proceedings of the 2011 Summer Computer Simulation Conference
Convergence of set-based multi-objective optimization, indicators and deteriorative cycles
Theoretical Computer Science
Quantum control experiments as a testbed for evolutionary multi-objective algorithms
Genetic Programming and Evolvable Machines
Recombination of similar parents in SMS-EMOA on many-objective 0/1 knapsack problems
PPSN'12 Proceedings of the 12th international conference on Parallel Problem Solving from Nature - Volume Part II
Effective crowd control through adaptive evolution of agent-based simulation models
Proceedings of the Winter Simulation Conference
Evolvable simulations applied to automated red teaming: a preliminary study
Proceedings of the Winter Simulation Conference
The relationship between the covered fraction, completeness and hypervolume indicators
EA'11 Proceedings of the 10th international conference on Artificial Evolution
Approximation quality of the hypervolume indicator
Artificial Intelligence
On set-based local search for multiobjective combinatorial optimization
Proceedings of the 15th annual conference on Genetic and evolutionary computation
Annals of Mathematics and Artificial Intelligence
Pareto Optimality in Organelle Energy Metabolism Analysis
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
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The design of quality measures for approximations of the Pareto-optimal set is of high importance not only for the performance assessment, but also for the construction of multiobjective optimizers. Various measures have been proposed in the literature with the intention to capture different preferences of the decision maker. A quality measure that possesses a highly desirable feature is the hypervolume measure: whenever one approximation completely dominates another approximation, the hypervolume of the former will be greater than the hypervolume of the latter. Unfortunately, this measure--as any measure inducing a total order on the search space--is biased, in particular towards convex, inner portions of the objective space. Thus, an open question in this context is whether it can be modified such that other preferences such as a bias towards extreme solutions can be obtained. This paper proposes a methodology for quality measure design based on the hypervolume measure and demonstrates its usefulness for three types of preferences.