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شاخص تشابه برایت-کارتیس×فاصله هلینگر×
حوزهتصمیم‌گیریتصمیم‌گیری
خانوادهMCDMMCDM
سال پیدایش19571909
پدیدآورJohn Bray and John T. CurtisErnst Hellinger
نوعEcological community similarity measureSymmetric metric for probability distributions
منبع بنیادینBray, J. R., & Curtis, J. T. (1957). An ordination of the upland forest communities of southern Wisconsin. Ecological Monographs, 27(4), 325-349. DOI ↗Hellinger, E. (1909). Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen. Journal für die Reine und Angewandte Mathematik, 136, 210-271. DOI ↗
نام‌های دیگرBray-Curtis index, Sorensen-Bray-Curtis, percentage differenceBhattacharyya distance, Hellinger metric
مرتبط32
خلاصهBray-Curtis dissimilarity is a quantitative measure of compositional difference between two samples, widely used in ecology and community analysis. Introduced by John Bray and John T. Curtis in 1957 for comparing forest communities, this index ranges from 0 (identical composition) to 1 (completely different). It is sensitive to abundance differences and is particularly effective for abundance data such as species counts, microbial populations, or preference intensities.Hellinger distance is a symmetric, bounded metric that measures the difference between two probability distributions. Rooted in the work of Ernst Hellinger (1909) and later formalized in statistical divergence by Anil Bhattacharyya (1946), this distance ranges from 0 (identical distributions) to 1. It is a true metric satisfying all mathematical distance properties and is particularly well-suited for comparing probability distributions in a symmetric, numerically stable manner.
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ScholarGateمقایسهٔ روش‌ها: Bray-Curtis Dissimilarity · Hellinger Distance. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare