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Méthode Non-linéaire du Meilleur-Pire×Programmation non linéaire×
DomainePrise de décisionOptimisation
FamilleMCDMProcess / pipeline
Année d'origine20162006
Auteur d'origineExtended development of Rezaei's BWM frameworkJorge Nocedal & Stephen Wright
TypeNon-linear optimization for flexible weight derivationContinuous mathematical optimization
Source fondatriceRezaei, J. (2015). Best-worst multi-criteria decision-making method: Some properties and a linear model. Journal of Cleaner Production, 229, 976-985. DOI ↗Nocedal, J., & Wright, S. J. (2006). Numerical Optimization (2nd ed.). Springer. ISBN: 978-0-387-30303-1
AliasNon-linear BWM, Nonlinear BWMNLP optimization, Constrained nonlinear optimization, Smooth optimization, Doğrusal olmayan programlama
Apparentées33
RésuméNon-linear BWM is a variant of the Best Worst Method that replaces the linear programming formulation with non-linear optimization. Instead of minimizing the maximum deviation (Chebyshev distance), it minimizes the sum of squared deviations (L2 norm). This provides more flexible weight derivation and better accommodates uncertain or fuzzy preferences.Nonlinear programming (NLP) is a branch of mathematical optimization concerned with problems in which the objective function or at least one constraint is nonlinear. Formalized comprehensively by Jorge Nocedal and Stephen Wright in their seminal 2006 text, NLP encompasses gradient-based algorithms — including sequential quadratic programming (SQP), interior-point methods, and quasi-Newton approaches — for finding locally or globally optimal solutions to continuous decision problems arising across engineering, economics, and the physical sciences.
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ScholarGateComparer des méthodes: Non-linear Best Worst Method · Nonlinear Programming. Consulté le 2026-06-17 sur https://scholargate.app/fr/compare