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Нелинеен метод на най-доброто и най-лошото×Метод "Най-добър-Най-лош"×Нелинейно програмиране×
ОбластВземане на решенияВземане на решенияОптимизация
СемействоMCDMMCDMProcess / pipeline
Година на възникване201620152006
СъздателExtended development of Rezaei's BWM frameworkRezaei, J.Jorge Nocedal & Stephen Wright
ТипNon-linear optimization for flexible weight derivationPairwise comparison (best-to-others + others-to-worst vectors), LPContinuous mathematical optimization
Основополагащ източникRezaei, J. (2015). Best-worst multi-criteria decision-making method: Some properties and a linear model. Journal of Cleaner Production, 229, 976-985. DOI ↗Rezaei, J. (2015). Best-worst multi-criteria decision-making method. Omega DOI ↗Nocedal, J., & Wright, S. J. (2006). Numerical Optimization (2nd ed.). Springer. ISBN: 978-0-387-30303-1
Други названияNon-linear BWM, Nonlinear BWMNLP optimization, Constrained nonlinear optimization, Smooth optimization, Doğrusal olmayan programlama
Свързани383
РезюмеNon-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.BWM (Best-Worst Method) is a weight subjective multi-criteria decision-making (MCDM) method introduced by Rezaei, J. in 2015. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.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.
ScholarGateНабор от данни
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ScholarGateСравнение на методи: Non-linear Best Worst Method · BWM · Nonlinear Programming. Извлечено на 2026-06-18 от https://scholargate.app/bg/compare