手法を比較

	ヘリンガー距離	ソーレンセン・ダイス係数
分野	意思決定	意思決定
系統	MCDM	MCDM
提唱年	1909	1945
提唱者	Ernst Hellinger	Thorvald Sorensen and Lee Dice
種類	Symmetric metric for probability distributions	Binary and compositional similarity measure
原典	Hellinger, E. (1909). Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen. Journal für die Reine und Angewandte Mathematik, 136, 210-271.	Sorensen, T. (1948). A method of establishing groups of equal amplitude in plant sociology based on similarity of species content and its application to analyses of the vegetation on Danish commons. Biologiske Skrifter, 5, 1-34.
別名	Bhattacharyya distance, Hellinger metric	Dice coefficient, Czekanowski index, F1 similarity
関連	2	1
概要	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.	Sorensen-Dice coefficient, also called Dice coefficient or Czekanowski index, measures the similarity between two sets or samples based on presence and absence of attributes. Introduced independently by Thorvald Sorensen (1948) and Lee Dice (1945), this index ranges from 0 (completely dissimilar) to 1 (identical). It is particularly well-suited for binary presence-absence data and is the symmetric counterpart to the Bray-Curtis dissimilarity for abundance data.