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שיטת ה-Best Worst Method (BWM) הלא-לינארית×תכנון לא-לינארי×
תחוםקבלת החלטותאופטימיזציה
משפחהMCDMProcess / pipeline
שנת המקור20162006
הוגה השיטהExtended development of Rezaei's BWM frameworkJorge Nocedal & Stephen Wright
סוגNon-linear optimization for flexible weight derivationContinuous mathematical optimization
מקור מכונןRezaei, 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
כינוייםNon-linear BWM, Nonlinear BWMNLP optimization, Constrained nonlinear optimization, Smooth optimization, Doğrusal olmayan programlama
קשורות33
תקצירNon-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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ScholarGateהשוואת שיטות: Non-linear Best Worst Method · Nonlinear Programming. אוחזר בתאריך 2026-06-15 מתוך https://scholargate.app/he/compare