6533b838fe1ef96bd12a5171

RESEARCH PRODUCT

Decision Making on Pareto Front Approximations with Inherent Nondominance

Kaisa MiettinenMarkus HartikainenMargaret M. Wiecek

subject

Mathematical optimizationProperty (philosophy)Multiobjective OptimizationComputer Science::Neural and Evolutionary ComputationMathematicsofComputing_NUMERICALANALYSISMathematics::Optimization and ControlPareto principleFunction (mathematics)monitavoiteoptimointiComputingMethodologies_ARTIFICIALINTELLIGENCEMulti-objective optimizationMultiobjective optimization problemNonlinear systemPareto optimalObjective vectorMathematics

description

t Approximating the Pareto fronts of nonlinear multiobjective optimization problems is considered and a property called inherent nondominance is proposed for such approximations. It is shown that an approximation having the above property can be explored by interactively solving a multiobjective optimization problem related to it. This exploration can be performed with available interactive multiobjective optimization methods. The ideas presented are especially useful in solving computationally expensive multiobjective optimization problems with costly function value evaluations. peerReviewed

yearjournalcountryeditionlanguage
2011-01-01
https://doi.org/10.1007/978-3-642-19695-9_3