مقایسهٔ روش‌ها

	عملگر میانگین متقارن ماکلورن	میانگین بونفرونی (BM)	میانگین وزنی توانی (میانگین هولدر)	تکنیک اولویت‌بندی بر اساس شباهت به راه‌حل ایده‌آل
حوزه	تصمیم‌گیری	تصمیم‌گیری	تصمیم‌گیری	تصمیم‌گیری
خانواده	MCDM	MCDM	MCDM	MCDM
سال پیدایش	2014	1950	1934	1981
پدیدآور	Variants developed from Maclaurin's mathematical theory	Bonferroni, C.	Hardy, G. H. Littlewood, J. E. Pólya, G.	Hwang, C. L., Yoon, K.
نوع	Symmetric mean aggregation operator for multiple criteria	Interrelationship-based aggregation — captures pairwise interactions	Power mean family — parametric generalisation of WAM/WGM/WHM	Distance-based (compromise)
منبع بنیادین	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.	Bonferroni, C. (1950). Sulle medie multiple di potenze. Bollettino dell'Unione Matematica Italiana	Hardy, G. H., Littlewood, J. E., Pólya, G. (1934). Inequalities. Cambridge University Press ISBN: 978-0-521-35880-4	Hwang, 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
نام‌های دیگر	MSM, Maclaurin Mean	—	—	—
مرتبط	3	0	0	8
خلاصه	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.	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.