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Ikke-lineær Best Worst Method×Best-Worst-metoden×Fuzzy BWM×Ikke-lineær programmering×
FagområdeBeslutningstagningBeslutningstagningBeslutningstagningOptimering
FamilieMCDMMCDMMCDMProcess / pipeline
Oprindelsesår201620152015 crisp; 2017 variant applicator2006
OphavspersonExtended development of Rezaei's BWM frameworkRezaei, J.Guo, S., Zhao, H.Jorge Nocedal & Stephen Wright
TypeNon-linear optimization for flexible weight derivationPairwise comparison (best-to-others + others-to-worst vectors), LPTriangular-fuzzy Best-to-Others and Others-to-Worst pairwise comparison with nonlinearly-constrained programmingContinuous mathematical optimization
Oprindelig kildeRezaei, 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 ↗Guo, S., Zhao, H. (2017). Fuzzy best-worst multi-criteria decision-making method and its applications. Knowledge-Based Systems DOI ↗Nocedal, J., & Wright, S. J. (2006). Numerical Optimization (2nd ed.). Springer. ISBN: 978-0-387-30303-1
AliasserNon-linear BWM, Nonlinear BWMNLP optimization, Constrained nonlinear optimization, Smooth optimization, Doğrusal olmayan programlama
Relaterede3883
ResuméNon-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.FUZZY-BWM (Fuzzy BWM — Triangular Fuzzy Best-Worst Method) is a weight subjective multi-criteria decision-making (MCDM) method introduced by Guo, S., Zhao, H. in 2015 crisp; 2017 variant applicator. 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.
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ScholarGateSammenlign metoder: Non-linear Best Worst Method · BWM · FUZZY-BWM · Nonlinear Programming. Hentet 2026-06-18 fra https://scholargate.app/da/compare