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Maclaurin Symmetrischer Mittelwertoperator×Bonferroni-Mittelwert (BM)×Gewichteter Potenzmittelwert (Mittelwert nach Hölder)×Technique for Order of Preference by Similarity to Ideal Solution×
FachgebietEntscheidungsfindungEntscheidungsfindungEntscheidungsfindungEntscheidungsfindung
FamilieMCDMMCDMMCDMMCDM
Entstehungsjahr2014195019341981
UrheberVariants developed from Maclaurin's mathematical theoryBonferroni, C.Hardy, G. H. Littlewood, J. E. Pólya, G.Hwang, C. L., Yoon, K.
TypSymmetric mean aggregation operator for multiple criteriaInterrelationship-based aggregation — captures pairwise interactionsPower mean family — parametric generalisation of WAM/WGM/WHMDistance-based (compromise)
Wegweisende QuelleQin, 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: 978-0-521-35880-4Hwang, C. L., Yoon, K. (1981). Multiple Attribute Decision Making: Methods and Applications — A State-of-the-Art Survey. Lecture Notes in Economics and Mathematical Systems, Vol. 186, Springer-Verlag DOI ↗
AliasnamenMSM, Maclaurin Mean
Verwandt3008
ZusammenfassungThe 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.TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution) is a ranking multi-criteria decision-making (MCDM) method introduced by Hwang, C. L., Yoon, K. in 1981. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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ScholarGateMethoden vergleichen: Maclaurin Symmetric Mean Operator · BONFERRONI-MEAN · POWER-MEAN · TOPSIS. Abgerufen am 2026-06-20 von https://scholargate.app/de/compare