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| マクローリン対称平均演算子× | 加重べき平均（ヘルダー平均）× | |
|---|---|---|
| 分野 | 意思決定 | 意思決定 |
| 系統 | MCDM | MCDM |
| 提唱年≠ | 2014 | 1934 |
| 提唱者≠ | Variants developed from Maclaurin's mathematical theory | Hardy, G. H. Littlewood, J. E. Pólya, G. |
| 種類≠ | Symmetric mean aggregation operator for multiple criteria | Power mean family — parametric generalisation of WAM/WGM/WHM |
| 原典≠ | Qin, J., Liu, X., & Pedrycz, W. (2014). An extended TOPSIS model for multiple attribute decision making with interval-valued intuitionistic fuzzy information. International Journal of Fuzzy Systems, 16(1), 99-113. link ↗ | Hardy, G. H., Littlewood, J. E., Pólya, G. (1934). Inequalities. Cambridge University Press ISBN: 978-0-521-35880-4 |
| 別名≠ | MSM, Maclaurin Mean | — |
| 関連≠ | 3 | 0 |
| 概要≠ | The Maclaurin Symmetric Mean (MSM) operator is an aggregation method that combines multiple criteria or attribute values using symmetric mean functions. Unlike simple averaging, MSM captures interactions between criteria and enables flexible sensitivity to criterion magnitudes through a parameter λ. It is particularly useful in fuzzy multi-criteria decision analysis and handles both individual and joint effects of criteria. | POWER-MEAN (Weighted Power Mean (Hölder Mean)) is a aggregation multi-criteria decision-making (MCDM) method introduced by Hardy, G. H. Littlewood, J. E. Pólya, G. in 1934. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result. |
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