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On the approximation of a pareto set
USSR Computational Mathematics and Mathematical Physics, 1984The problem is to determine the Pareto set related to \(''\max ''_{x\in X}f\), \(f=(f_ 1,...,f_ m)\), \(X\subseteq {\mathbb{R}}^ n\) compact feasible solution set, \(Y=f(X)=\{y\in {\mathbb{R}}^ m|\) \(y=f(x)\), \(x\in X\}\). Let \(V\subseteq {\mathbb{R}}^ m\) be any set.
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Almost-Pareto Decision Sets in Imprecise Utility Hierarchies
Journal of Statistical Theory and Practice, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Farrow M, Goldstein M
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Dynamic algorithm selection for pareto optimal set approximation
Journal of Global Optimization, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Steponavičė, Ingrida +3 more
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Relation between Pareto-Optimal Fuzzy Rules and Pareto-Optimal Fuzzy Rule Sets
2007 IEEE Symposium on Computational Intelligence in Multi-Criteria Decision-Making, 2007Evolutionary multiobjective optimization (EMO) has been utilized in the field of data mining in the following two ways: to find Pareto-optimal rules and Pareto-optimal rule sets. Confidence and coverage are often used as two objectives to evaluate each rule in the search for Pareto-optimal rules.
Hisao Ishibuchi +2 more
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Reducing the Pareto set based on set-point information
Scientific and Technical Information Processing, 2011An axiomatic approach to reducing the Pareto set in the problem of multicriteria choice based on an information set obtained from the decision maker is considered. The information reflects the degree up to which the decision maker is ready to lose values of one group of criteria to improve values of several other groups of criteria.
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Strengthened Pareto Equilibrium for Games on Intersecting Sets*
Cybernetics and Systems Analysis, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Small Approximate Pareto Sets with Quality Bounds
2023We present and empirically characterize a general, parallel, heuristic algorithm for computing small ε-Pareto sets. The algorithm can be used as part of a decision support tool for settings in which computing points in objective space is computationally expensive. We use the graph clearing problem, a formalization of indirect organ exchange markets, as
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Fuzzy programming and the Pareto optimal set
Fuzzy Sets and Systems, 1983It is shown how fuzzy programming, using either the min or product operator, may be used to generate the whole Pareto optimal set for nonlinear concave, or convex, multiobjective programming problems. Also, a new solution procedure for a fuzzy program, when the min operator is employed, is presented.
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