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Halli klasterdamine: valgenduspõhine klassifitseerimine ebakindluse tingimustes×Fuzzy C-Means klastreerimine (FCM)×Halli prognoosimise mudel GM(1,1)×
ValdkondSoft computingMasinõpeSoft computing
PerekondMachine learningMachine learningRegression model
Tekkeaasta201019811982
LoojaJulong Deng; Sifeng LiuJoseph Dunn; James BezdekJulong Deng
TüüpWhitenization-based soft clusteringSoft (fuzzy) partitional clusteringSmall-sample grey forecasting model
AlgallikasLiu, S., & Lin, Y. (2010). Grey Systems: Theory and Applications. Springer. ISBN: 978-3-642-13937-6Dunn, J. C. (1973). A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters. Journal of Cybernetics, 3(3), 32–57. DOI ↗Deng, J. L. (1982). Control problems of grey systems. Systems & Control Letters, 1(5), 288–294. DOI ↗
RööpnimetusedGrey Whitenization Weight Function Clustering, Grey Fixed-Weight Clustering, Grey Variable-Weight Clustering, Gri KümelemeFCM, fuzzy clustering, soft k-means, bulanık c-ortalama kümelemeGM(1,1), grey prediction model, grey forecasting, gri tahmin modeli
Seotud232
KokkuvõteGrey Clustering is a classification method from grey systems theory that assigns objects to predefined grey classes using whitenization weight functions. Developed within the framework of Deng Julong's grey system theory and systematized by Sifeng Liu, it is particularly suited for situations involving small sample sizes, incomplete information, or uncertain data—conditions common in engineering assessments, environmental monitoring, and socioeconomic evaluation. The method quantifies how strongly each object belongs to each grey class and makes a crisp assignment based on maximum clustering coefficients.Fuzzy C-Means is a soft clustering algorithm in which every data point belongs to every cluster with a graded membership between 0 and 1, rather than being assigned to exactly one cluster. Originated by Joseph Dunn in 1973 and generalized by James Bezdek in 1981, it minimizes a fuzzy-weighted within-cluster variance, making it well suited to data whose groups overlap or have no sharp boundaries.GM(1,1) is the core forecasting model of grey system theory, introduced by Julong Deng in 1982, designed to predict from very few observations and incomplete information — situations where classical time-series models like ARIMA need far more data. It accumulates the raw series to expose a hidden exponential trend, fits a first-order grey differential equation, and projects future values, making it popular in engineering, energy, and management forecasting with short data records.
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ScholarGateVõrdle meetodeid: Grey Clustering · Fuzzy C-Means · GM(1,1) Grey Forecasting. Loetud 2026-06-19 aadressilt https://scholargate.app/et/compare