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عملگر میانگین متقارن ماکلورن×میانگین وزنی توانی (میانگین هولدر)×تکنیک اولویت‌بندی بر اساس شباهت به راه‌حل ایده‌آل×
حوزهتصمیم‌گیریتصمیم‌گیریتصمیم‌گیری
خانوادهMCDMMCDMMCDM
سال پیدایش201419341981
پدیدآورVariants developed from Maclaurin's mathematical theoryHardy, G. H. Littlewood, J. E. Pólya, G.Hwang, C. L., Yoon, K.
نوعSymmetric mean aggregation operator for multiple criteriaPower mean family — parametric generalisation of WAM/WGM/WHMDistance-based (compromise)
منبع بنیادینQin, 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: 978-0-521-35880-4Hwang, 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 ↗
نام‌های دیگرMSM, Maclaurin Mean
مرتبط308
خلاصهThe 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.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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ScholarGateمقایسهٔ روش‌ها: Maclaurin Symmetric Mean Operator · POWER-MEAN · TOPSIS. بازیابی‌شده در 2026-06-20 از https://scholargate.app/fa/compare