手法を比較
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| レキシコグラフィック最悪法 (Lexicographic Best Worst Method)× | ファジィBWM× | 辞書式目標計画法× | 階層型最良最悪法 (Stratified Best Worst Method)× | |
|---|---|---|---|---|
| 分野 | 意思決定 | 意思決定 | 意思決定 | 意思決定 |
| 系統 | MCDM | MCDM | MCDM | MCDM |
| 提唱年≠ | 2015 | 2015 crisp; 2017 variant applicator | 1961 | 2015 |
| 提唱者≠ | Based on Rezaei's BWM framework and lexicographic optimization | Guo, S., Zhao, H. | Abraham Charnes and William W. Cooper | Jafar Rezaei and collaborators |
| 種類≠ | Sequential best-worst comparisons with priority hierarchy | Triangular-fuzzy Best-to-Others and Others-to-Worst pairwise comparison with nonlinearly-constrained programming | Sequential goal optimization with priority levels | Hierarchical pairwise comparison with layer-wise best-worst |
| 原典≠ | Rezaei, J. (2015). Best-worst multi-criteria decision-making method: Some properties and a linear model. Journal of Cleaner Production, 229, 976-985. DOI ↗ | Guo, S., Zhao, H. (2017). Fuzzy best-worst multi-criteria decision-making method and its applications. Knowledge-Based Systems DOI ↗ | Charnes, A., & Cooper, W. W. (1961). Management models and industrial applications of linear programming. Management Science, 8(1), 38-91. DOI ↗ | Rezaei, J. (2015). Best-worst multi-criteria decision-making method: Some properties and a linear model. Journal of Cleaner Production, 229, 976-985. DOI ↗ |
| 別名≠ | Lexicographic BWM | — | Lexicographic GP, LGP | Stratified BWM |
| 関連≠ | 4 | 8 | 2 | 4 |
| 概要≠ | Lexicographic BWM combines the strengths of the Best Worst Method with lexicographic (sequential) optimization. Instead of weighting all criteria simultaneously, it assigns criteria to priority levels, solves the BWM for the highest-priority criteria first, then solves for lower-priority criteria while keeping the higher-priority weights fixed. This ensures that higher-priority criteria are never sacrificed to improve lower-priority ones. | 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. | Lexicographic Goal Programming (LGP) is a variant of goal programming introduced by Charnes and Cooper in the 1960s. It prioritizes multiple goals in a strict ordinal hierarchy, solving optimization problems sequentially: first achieve the highest-priority goal, then the second-highest while maintaining the first, and so on. This ensures that lower-priority goals are never pursued at the expense of higher-priority ones. | Stratified BWM is an extension of the Best Worst Method that applies the BWM logic recursively across multiple hierarchical layers. Instead of weighting criteria at a single level, it identifies the best and worst criterion within each level of a hierarchy, then aggregates weights across levels. This enables more realistic modeling of complex decision problems with natural hierarchical structures. |
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