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Reducing the computational cost of pareto set approximation
Computational Mathematics and Modeling, 1993To improve the operating efficiency and performance of modern technical and economic control systems, decision making must be based on an ever expanding set of diverse interconnected factors. This has led to rapid development of decisionmaking theory and wide use of mathematical decision methods.
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A note of fuzzy programming and the pareto optimal set
Fuzzy Sets and Systems, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Approximation of Pareto Sets Using Directed Joint Contour Nets
2020This paper presents the theoretical foundation to approximate the Pareto set and its affiliated reachability graph through the Joint Contour Net (JCN). The theory works for multivariate scalar fields with arbitrary numbers of domain dimensions and functions.
Jan Bormann +2 more
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The Set of Equilibria and Relative Pareto Optima
1983From propositions 1–3 we know that under A1–A3 an economy ɛ(w―) has many equilibria. In addition \(\underline {\rm{w}} \in {\rm{R}}_ + ^{{\ell _1}}\) can be varied.
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Structure of the Pareto optimality set with fixed total resources and consumption sets
Applied Mathematics and Computation, 2004Variants of theorems of multicriteria optimization concerning properties of the Pareto set as nonemptiness, compactness, connectedness are proved under corresponding sufficiently hard conditions.
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Reducing the Pareto optimal set in MCDM using imprecise probabilities
International Journal of Operational Research, 2014An approach for reducing a set of Pareto optimal solutions on the basis of specific information about importance of criteria is proposed in the paper. The DM’s judgments about criteria have a clear behaviour interpretation and can be used in various decision problems.
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Reducing the pareto set algorithm based on an arbitrary finite set of information “quanta”
Scientific and Technical Information Processing, 2014In this paper, in the framework of the axiomatic approach developed by the author over the past 3 decades, we assume four axioms of "reasonable" choice, which define a rather wide class of problems of multi-criteria selection. To reduce the Pareto set we use numerical information about the preference relation of a decision maker.
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Optimization of the Share of the Pareto Set for Multicriteria Models
1985This paper describes an approach to analyzing how the balanced states of a multicriteria model depend on the values of exogenous parameters. It provides an algorithm consistent with the model criteria that chooses the optimal form of the Pareto set by changing these values.
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A review of Pareto pruning methods for multi-objective optimization
Computers and Industrial Engineering, 2022Sanyapong Petchrompo +2 more
exaly
Estimation of Pareto sets in the mixed control problem
International Journal of Systems Science, 2004Ricardo H. C. Takahashi +3 more
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