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Fuzzy programming and the Pareto optimal set

Fuzzy Sets and Systems, 1983
It is shown how fuzzy programming, using either the min or product operator, may be used to generate the whole Pareto optimal set for nonlinear concave, or convex, multiobjective programming problems. Also, a new solution procedure for a fuzzy program, when the min operator is employed, is presented.
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Computation of the Pareto set under options hedging

Proceedings of the 2002 International Joint Conference on Neural Networks. IJCNN'02 (Cat. No.02CH37290), 2003
The present work unites and generalizes results of Melokumov and Karpov (2001) and Schukin (1999). We research mutual dependence of criteria determining strategy of hedging, and we construct a Pareto set by these criteria. Thus we use properties of function of the price option, formulated below in Schukin.
F.I. Ereshko, I.I. Gasanov
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Approximating the Pareto optimal set using a reduced set of objective functions

European Journal of Operational Research, 2010
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Lindroth, Peter   +2 more
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REDUCING THE PARETO OPTIMAL SET IN MULTICRITERIA OPTIMIZATION(With Applications to Pareto Optimal Dynamic Programming)

Engineering Optimization, 1985
This paper describes the rationale for using clustering methods to reduce the size of the Pareto optimal set whilst retaining its shape. It proceeds lo describe an implementation of the complete-linkage clustering method and demonstrates its application.
M. A. ROSENMAN, J. S. GERO
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Multicriteria Minimax Problems: Localization of the Pareto Set and Suboptimal Control Design

Automation and Remote Control, 2021
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Balandin, D. V.   +2 more
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Methodology to select solutions from the pareto-optimal set

Proceedings of the 9th annual conference on Genetic and evolutionary computation, 2007
The resolution of a Multi-Objective Optimization Problem (MOOP) does not end when the Pareto-optimal set is found. In real problems, a single solution must be selected. Ideally, this solution must belong to the non-dominated solutions set and must take into account the preferences of a Decision Maker (DM). Therefore, the searching for a single solution
J. C. Ferreira   +2 more
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Quasiconcave vector maximization: Connectedness of the sets of Pareto-optimal and weak Pareto-optimal alternatives

Journal of Optimization Theory and Applications, 1983
We study the sets of Pareto-optimal and weakly Pareto-optimal solutions to a vector maximization problem defined by a continuous vector-valued quasiconcave criterion functionf and a closed convex set of alternativesS. IfS is compact, it is shown that the set of weakly Pareto-optimal alternatives is connected, but that the set of Pareto-optimal ...
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The Set-Valued Dynamic System and Its Applications to Pareto Optima

Acta Applicandae Mathematica, 1997
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Tarafdar, E., Yuan, Xian-Zhi
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On the shape of Pareto sets in Edgeworth box economies

Economic Theory Bulletin, 2023
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Dual approach to minimization on the set of pareto-optimal solutions

Journal of Optimization Theory and Applications, 1996
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Thach, P. T., Konno, H., Yokota, D.
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