قارن الطرق

	الطريقة غير الخطية للأسوأ والأفضل	البرمجة غير الخطية
المجال	اتخاذ القرار	التحسين
العائلة	MCDM	Process / pipeline
سنة النشأة	2016	2006
صاحب الطريقة	Extended development of Rezaei's BWM framework	Jorge Nocedal & Stephen Wright
النوع	Non-linear optimization for flexible weight derivation	Continuous mathematical optimization
المصدر التأسيسي	Rezaei, J. (2015). Best-worst multi-criteria decision-making method: Some properties and a linear model. Journal of Cleaner Production, 229, 976-985.	Nocedal, J., & Wright, S. J. (2006). Numerical Optimization (2nd ed.). Springer. ISBN: 978-0-387-30303-1
الأسماء البديلة	Non-linear BWM, Nonlinear BWM	NLP optimization, Constrained nonlinear optimization, Smooth optimization, Doğrusal olmayan programlama
ذات صلة	3	3
الملخص	Non-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.