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麦克劳林对称平均算子×加权幂平均(霍尔德平均)×
领域决策决策
方法族MCDMMCDM
起源年份20141934
提出者Variants developed from Maclaurin's mathematical theoryHardy, G. H. Littlewood, J. E. Pólya, G.
类型Symmetric mean aggregation operator for multiple criteriaPower mean family — parametric generalisation of WAM/WGM/WHM
开创性文献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
别名MSM, Maclaurin Mean
相关30
摘要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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ScholarGate方法对比: Maclaurin Symmetric Mean Operator · POWER-MEAN. 于 2026-06-19 检索自 https://scholargate.app/zh/compare