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Universal procedure for constructing a Pareto set
Computational Mathematics and Mathematical Physics, 2017Considering a multiobjective problem in finite-dimensional spaces with a continuous objective \(w:\mathbb R^s \rightarrow \mathbb R^m\) over a compact feasible set \(X\subset \mathbb R^s\) a general procedure for determining the (weak) Pareto set is theoretically proposed.
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Pareto Set Reduction Using Fuzzy Information
2017In a series of applications-relevant multicriteria choice problems, the available information about the DM’s preference relation can be fuzzy in the sense that it is impossible to define explicitly the preference for one alternative rather than another, since there exist the pros and cons of it.
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Ordering Pareto Sets with Fuzzy Inference Systems
2013Even though elements in the Pareto set of a given multi-objective problem represent optimal solutions, additional information may be available about a preference on these solutions. We propose to use the Pareto frontier obtained for a problem to discard dominated solutions and a fuzzy system to order the non-dominated ones.
Sandra Sandri +2 more
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Regularization of a set of Pareto points
USSR Computational Mathematics and Mathematical Physics, 1978Abstract THE PROBLEM of finding a set Pareto points is regularized. A genelization of the Arrow—Barankin—Blackwell theorem is proved. The connection between the set of Pareto points and competitive games is established.
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Learning Sets of Pareto Optimal Policies
2014Many real-world problems involve the optimization of multiple, possible conflicting, objectives. Multi-objective reinforcement learning (MORL) is an extension to standard reinforcement learning where the scalar reward signal is extended to multiple feedback signals, i.e. one for each objective.
Van Moffaert, Kristof +2 more
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Calculus of Choquet Boundaries Using Pareto Sets
1997One of the aim of this paper is to present new properties for the efficient (Pareto) point sets in separated locally convex spaces. Thus, for any non-empty and compact subset, the coincidence result between the set of corresponding Pareto points with respect to a convex cone and the Choquet boundary with respect to a convenient cone of real continuous ...
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