Results 291 to 300 of about 188,484 (320)

Neighbourhood Search for constructing Pareto sets

Mathematical Methods of Operations Research, 2006
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Dorini, G., Pierro, F. Di, Savic, D., Piunovskiy, A. B.   +3 more
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Software for Pareto set reduction

2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA), 2017
An axiomtic approach to the problem of Pareto set reduction is considered. A decision maker is asked questions in order to elicit information on his/her fuzzy binary preference relation. A program is described that uses the obtained fuzzy information to reduce the Pareto set and thereby to facilitate a final choice.
Oleg Baskov, Vladimir Noghin
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Distributed Computation of Pareto Sets

SIAM Journal on Optimization, 2015
The 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 Dandurand, Margaret M. Wiecek
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The liberal paradox and the pareto set

Mathematical Social Sciences, 1985
This 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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Thresholds in pareto sets

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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Covering Pareto Sets by Multilevel Subdivision Techniques

Journal of Optimization Theory and Applications, 2005
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Dellnitz, M., Schütze, O., Hestermeyer, T.   +2 more
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Dynamic programming with Pareto sets

Journal of Applied and Industrial Mathematics, 2010
Under study is the problem of optimal allocation of a resource, and a dynamic programming scheme is proposed for its solution. Instead of the recurrent equations, the stepwise computation of the Pareto-optimal points is used on the plane of values of the target function and resource. Some examples demonstrate the efficiency of this approach.
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Pattern identification in pareto-set approximations

Proceedings of the 10th annual conference on Genetic and evolutionary computation, 2008
In 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, Dimo Brockhoff, Eckart Zitzler   +2 more
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On Pareto Dominance in Decomposably Antichain-Convex Sets

Journal of Optimization Theory and Applications, 2020
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Ceparano, Maria Carmela, Quartieri, Federico   +1 more
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A Comparison of Pareto Sets and Jacobi Sets

2014
Topological analysis of multifields is an approaches to find meaningful, intrinsic structures in complex data. Methods introduced in previous years were usually evaluated separately or rather informally. However, to aid the decision which method is best suited for a particular kind of data, it is important to compare and put them into context with each
Lars Huettenberger, Christoph Garth
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