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An AI-driven multi-objective framework for optimizing window dimensions considering energy demand and thermal comfort. [PDF]
Sci RepNasab SMRA, Rabiei H.
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Localization sets for pareto eigenvalues with applications
Applied Mathematics Letters, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun He, Yanmin Liu, Xiaowei Shen
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The liberal paradox and the pareto set
Mathematical Social Sciences, 1985This paper examines the liberal paradox. When the set of alternatives, X, is a disjoint union of sets \(X_ i\), one for each voter, the liberal paradox occurs if and only if the Pareto set contains no element u of any \(X_ i\) such that voter i prefers u to any other element of \(X_ i.\) When the set of all preference profiles is given the equiprobable
Kim, Ki Hang, Roush, Fred W.
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Distributed Computation of Pareto Sets
SIAM Journal on Optimization, 2015The needs of multidisciplinary engineering design have motivated the development of distributed solution approaches to computing efficient solutions to decomposable multiobjective optimization problems (MOPs). The decomposition is necessary due to the assumption that the overall MOP is not solvable since access to its solution space is subproblem ...
Brian C. Dandurand, Margaret M. Wiecek
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Neighbourhood Search for constructing Pareto sets
Mathematical Methods of Operations Research, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gianluca Dorini +3 more
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Journal of Mathematical Economics, 1976
Abstract We use catastrophe theory to discuss the generic ways in which a system determined by the optimization of several real-valued functions, such as a pure exchange economy, can break its stability and make a transition from ‘slow’ to ‘fast’ movement.
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Abstract We use catastrophe theory to discuss the generic ways in which a system determined by the optimization of several real-valued functions, such as a pure exchange economy, can break its stability and make a transition from ‘slow’ to ‘fast’ movement.
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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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On Pareto Dominance in Decomposably Antichain-Convex Sets
Journal of Optimization Theory and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ceparano, Maria Carmela +1 more
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Pattern identification in pareto-set approximations
Proceedings of the 10th annual conference on Genetic and evolutionary computation, 2008In a multiobjective setting, evolutionary algorithms can be used to generate a set of compromise solutions. This makes decision making easier for the user as he has alternative solutions at hand which he can directly compare. However, if the number of solutions and the number of decision variables which define the solutions are large, such an analysis ...
Tamara Ulrich +2 more
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