Search results for "multiple objectives"

showing 2 items of 2 documents

Interactive Nonlinear Multiobjective Optimization Methods

2016

An overview of interactive methods for solving nonlinear multiobjective optimization problems is given. In interactive methods, the decision maker progressively provides preference information so that the most satisfactory Pareto optimal solution can be found for her or his. The basic features of several methods are introduced and some theoretical results are provided. In addition, references to modifications and applications as well as to other methods are indicated. As the role of the decision maker is very important in interactive methods, methods presented are classified according to the type of preference information that the decision maker is assumed to provide. peerReviewed

Pareto optimalityMathematical optimization021103 operations researchComputer sciencemultiple criteria decision making0211 other engineering and technologies02 engineering and technologyinteractive methodsDecision makernonlinear optimizationMulti-objective optimizationPreferenceNonlinear programmingPareto optimalNonlinear systemMultiobjective optimization problemmultiple objectives0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processing
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A new preference handling technique for interactive multiobjective optimization without trading-off

2015

Because the purpose of multiobjective optimization methods is to optimize conflicting objectives simultaneously, they mainly focus on Pareto optimal solutions, where improvement with respect to some objective is only possible by allowing some other objective(s) to impair. Bringing this idea into practice requires the decision maker to think in terms of trading-off, which may limit the ability of effective problem solving. We outline some drawbacks of this and exploit another idea emphasizing the possibility of simultaneous improvement of all objectives. Based on this idea, we propose a technique for handling decision maker’s preferences, which eliminates the necessity to think in terms of t…

Mathematical optimizationControl and OptimizationExploitComputer scienceApplied Mathematicsmedia_common.quotation_subjectpreference informationPreference handlinginteractive methodsManagement Science and Operations ResearchDecision makerMulti-objective optimizationnegotiation supportComputer Science ApplicationsPareto optimalNegotiationmultiple objectivesNAUTILUS methodLimit (mathematics)Focus (optics)media_commonJournal of Global Optimization
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