Ranking
LoPM: Limits on Property Method
Farag, M. M. · 2020
Overview
Property-limit satisfaction scoring for material selection. Output typically ranking.
Strengths
- •Method-specific: Property-limit satisfaction scoring for material selection
Method assistant
Grounded explanations: it explains the method, it does not compute.
Edge cases
- •if x_ij < limit_j). Upper-limit (type=-1): score_j = x_ij / limit_j (penalty if x_ij > limit_j). Target (type=0): score_j = |x_ij/limit_j − 1| (deviation from target). Sum with weights: m_i = Σ w_j·sc
Common pitfalls
- •Bkz. LOPM F.steps citation_anchor'lar ve P.verification_status.
Worked example
- 1.Adım 1 (F1): Step 1: Compute property satisfaction scores for each type. Lower-limit (type=1): score_j = limit_j / x_ij (penalty if x_ij < limit_j). Upper-limit (type=-1): score_j = x_ij / limit_j (penalty if x_ij > limit_j). Target (type=0): score_j = |x_ij/limit_j − 1| (deviation from target). Sum with weights: m_i = Σ w_j·score_j (lower-limit) + Σ w_j·score_j (upper-limit) + Σ w_j·score_j (target). Rank descending (higher m = better satisfaction). Formül: m_i = \sum_{j\in J_{lower}} w_j\frac{\ell_j}{x_{ij}} + \sum_{j\in J_{upper}} w_j\frac{x_{ij}}{\ell_j} + \sum_{j\in J_{target}} w_j\left|\frac{x_{ij}}{\ell_j}-1\right|,\quad \text{rank descending} Anchor: Farag 2020 Material selection §LoPM
How to cite
Farag, M. M. (2020). Materials and process selection for engineering design. CRC Press. https://doi.org/10.1201/9781003006091