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Multistage Adaptive Robust Binary Optimization: Uncertainty Set Lifting versus Partitioning through Breakpoints Optimization

open access: yesMathematics, 2023
Two methods for multistage adaptive robust binary optimization are investigated in this work. These methods referred to as binary decision rule and finite adaptability inherently share similarities in dividing the uncertainty set into subsets.
Farough Motamed Nasab, Zukui Li
doaj   +1 more source

On Meritocracy in Optimal Set Selection

open access: yesEquity and Access in Algorithms, Mechanisms, and Optimization, 2022
Typically, merit is defined with respect to some intrinsic measure of worth. We instead consider a setting where an individual's worth is \emph{relative}: when a Decision Maker (DM) selects a set of individuals from a population to maximise expected utility, it is natural to consider the \emph{Expected Marginal Contribution} (EMC) of each person to the
Thomas Kleine Buening   +4 more
openaire   +3 more sources

Higher-order optimality conditions for set-valued optimization [PDF]

open access: yes, 2008
This paper deals with higher-order optimality conditions of set-valued optimization problems. By virtue of the higher-order derivatives introduced in (Aubin and Frankowska, Set-Valued Analysis, Birkhäuser, Boston, [1990]) higher-order necessary and ...
Li, S.   +5 more
core   +1 more source

A fully coupled level set-based topology optimization of flexible components in multibody systems

open access: yes, 2023
A fully coupled level set-based topology optimization of flexible components in multibody systems is considered. Thereby, using the floating frame of reference approach, the flexible components are efficiently modeled and incorporated in multibody ...
Azari Nejat, Ali   +2 more
core   +1 more source

On Kemeny Optimization Scheme for Fuzzy Set of Relations

open access: yesAxioms, 2023
The present paper investigated the aggregation of individual preferences into a group fuzzy preference relation for a fuzzy set of decision-makers (DMs). This aggregation is based on the Kemeny optimization scheme.
Serhii O. Mashchenko   +2 more
doaj   +1 more source

Optimization problems for set functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
This paper gives the formal definition of a class of optimization problems, that is, problems of finding conditional extrema of given set-measurable functions. It also formulates the generalization of Lyapunov convexity theorem which is used in the proof
Slawomir Dorosiewicz
doaj   +1 more source

On the reduced-set pareto-lipschitzian optimization

open access: yesComputational Science and Techniques, 2013
A well-known example of global optimization that provides solutions within fixed error limits is optimization of functions with a known Lipschitz constant. In many real-life problems this constant is unknown.
Jonas Mockus, Remigijus Paulavičius
doaj   +1 more source

A hybrid multiagent approach for global trajectory optimization [PDF]

open access: yes, 2008
In this paper we consider a global optimization method for space trajectory design problems. The method, which actually aims at finding not only the global minimizer but a whole set of low-lying local minimizers(corresponding to a set of different design
Vasile, M.   +4 more
core   +1 more source

Necessary and Sufficient Conditions for Set-Valued Maps with Set Optimization

open access: yesAbstract and Applied Analysis, 2018
Optimality conditions are studied for set-valued maps with set optimization. Necessary conditions are given in terms of S-derivative and contingent derivative.
Abdessamad Oussarhan, Ikram Daidai
doaj   +1 more source

Parameterization of multi-decisive hypersoft set under fuzzy environment with application in multi-attribute decision making [PDF]

open access: yesYugoslav Journal of Operations Research
Fuzzy parameterized hypersoft expert set (FPHSE-set) is the generalisation of fuzzy parameterized soft expert set (FPSE-set). The FPHSE-set overcomes the shortcomings of FPSE-set for the examination of multi-argument approximate function.
Ihsan Muhammad
doaj   +1 more source

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