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Operátor Maclaurinovy symetrické střední hodnoty×Bonferroniho střední hodnota (BM)×Vážený mocninný průměr (průměr Hölderův)×
OborRozhodováníRozhodováníRozhodování
RodinaMCDMMCDMMCDM
Rok vzniku201419501934
TvůrceVariants developed from Maclaurin's mathematical theoryBonferroni, C.Hardy, G. H. Littlewood, J. E. Pólya, G.
TypSymmetric mean aggregation operator for multiple criteriaInterrelationship-based aggregation — captures pairwise interactionsPower mean family — parametric generalisation of WAM/WGM/WHM
Původní zdrojQin, 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 ↗Bonferroni, C. (1950). Sulle medie multiple di potenze. Bollettino dell'Unione Matematica Italiana link ↗Hardy, G. H., Littlewood, J. E., Pólya, G. (1934). Inequalities. Cambridge University Press ISBN: 978-0-521-35880-4
Další názvyMSM, Maclaurin Mean
Příbuzné300
ShrnutíThe 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.BONFERRONI-MEAN (Bonferroni Mean (BM)) is a aggregation multi-criteria decision-making (MCDM) method introduced by Bonferroni, C. in 1950. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.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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ScholarGatePorovnat metody: Maclaurin Symmetric Mean Operator · BONFERRONI-MEAN · POWER-MEAN. Získáno 2026-06-20 z https://scholargate.app/cs/compare