方法对比

	Jensen-Shannon 散度	Kullback-Leibler 散度
领域	决策	决策
方法族	MCDM	MCDM
起源年份	1991	1951
提出者	J. Lin	Solomon Kullback and Richard Leibler
类型	Symmetric probability distribution dissimilarity	Asymmetric probability distribution dissimilarity
开创性文献	Lin, J. (1991). Divergence measures based on the Shannon entropy. IEEE Transactions on Information Theory, 37(1), 145-151.	Kullback, S., & Leibler, R. A. (1951). On information and sufficiency. Annals of Mathematical Statistics, 22(1), 79-86.
别名	JS divergence, symmetric KL divergence, JS distance	KL divergence, relative entropy, information divergence
相关	2	2
摘要	Jensen-Shannon divergence is a symmetric information-theoretic measure of the difference between two probability distributions. Developed by Jian Lin in 1991 as a refinement to the asymmetric Kullback-Leibler divergence, it overcomes KL's directional limitation by averaging the divergences in both directions. The result is a true metric (satisfying triangle inequality) that ranges from 0 (identical distributions) to 1, making it suitable for symmetric comparison tasks.	Kullback-Leibler divergence, also called relative entropy or information divergence, measures the asymmetric difference between two probability distributions. Introduced by Solomon Kullback and Richard Leibler in 1951, this information-theoretic measure quantifies how one probability distribution diverges from a reference distribution, ranging from 0 (identical distributions) to infinity. It is foundational in information theory, machine learning, and decision-making with probabilistic frameworks.