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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
openaire   +1 more source

Pareto optimality and a class of set covering heuristics

Annals of Operations Research, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nicholas G. Hall, Rakesh V. Vohra
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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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Regularization of a set of Pareto points

USSR Computational Mathematics and Mathematical Physics, 1978
Abstract 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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Ordering Pareto Sets with Fuzzy Inference Systems

2013
Even 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 A. Sandri   +2 more
openaire   +1 more source

A note of fuzzy programming and the pareto optimal set

Fuzzy Sets and Systems, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Non-Convexifiable Pareto Sets

Econometrica, 1978
Kannai, Yakar, Mantel, Rolf
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Strengthened Pareto Equilibrium for Games on Intersecting Sets*

Cybernetics and Systems Analysis, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A review of Pareto pruning methods for multi-objective optimization

Computers and Industrial Engineering, 2022
Sanyapong Petchrompo   +2 more
exaly  

Optimization of the Share of the Pareto Set for Multicriteria Models

1985
This 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.
openaire   +3 more sources

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