قارن الطرق

	الطريقة غير الخطية للأسوأ والأفضل	طريقة الأفضل-الأسوأ	منهجية أفضل-أسوأ الضبابية (Fuzzy BWM)	البرمجة غير الخطية
المجال	اتخاذ القرار	اتخاذ القرار	اتخاذ القرار	التحسين
العائلة	MCDM	MCDM	MCDM	Process / pipeline
سنة النشأة	2016	2015	2015 crisp; 2017 variant applicator	2006
صاحب الطريقة	Extended development of Rezaei's BWM framework	Rezaei, J.	Guo, S., Zhao, H.	Jorge Nocedal & Stephen Wright
النوع	Non-linear optimization for flexible weight derivation	Pairwise comparison (best-to-others + others-to-worst vectors), LP	Triangular-fuzzy Best-to-Others and Others-to-Worst pairwise comparison with nonlinearly-constrained programming	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.	Rezaei, J. (2015). Best-worst multi-criteria decision-making method. Omega	Guo, S., Zhao, H. (2017). Fuzzy best-worst multi-criteria decision-making method and its applications. Knowledge-Based Systems	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	8	8	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.	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.