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	Fuzzy kappa for the agreement measure of fuzzy classifications
	Dou, W. ; Yuan Ren ; Qian Wu ; Su Ruan ; Yanping Chen ; Bloyet, D. ; Constans, J.-M.
	2010-05-06 ; 2010-05-06
关键词	Practical Theoretical or Mathematical/ biomedical MRI fuzzy set theory image classification medical image processing statistical distributions/ fuzzy kappa agreement measure fuzzy classifications fuzzy sets kappa statistic kappa coefficient probability distribution fuzzy classification brain tissues MRI images/ A8760I Medical magnetic resonance imaging and spectroscopy A8770E Patient diagnostic methods and instrumentation A0250 Probability theory, stochastic processes, and statistics B6135 Optical, image and video signal processing B7510N Biomedical magnetic resonance imaging and spectroscopy B0240Z Other topics in statistics B0250 Combinatorial mathematics C7330 Biology and medical computing C5260B Computer vision and image processing techniques C1160 Combinatorial mathematics C1140Z Other topics in statistics
中文摘要	In this paper, we propose an assessment method of agreement between fuzzy sets, called fuzzy Kappa which is deduced from the concept of Cohen's Kappa statistic. In fuzzy case, the Cohen's Kappa coefficient can be calculated generally by transforming the fuzzy sets into some crisp alpha -cut subsets. While the proposed fuzzy Kappa allows to directly evaluate an overall agreement between two fuzzy sets. Hence, it is an efficient agreement measure between a given fuzzy "ground truth" or reference and a result of fuzzy classification or fuzzy segmentation. Based on membership function, we define its agreement function and its probability distribution to formulate the deduction of the expectation agreement. So the fuzzy Kappa is calculated from the proportion of the observed agreement and the agreement expected by chance. All the definitions and deductions are detailed in this paper. Both Cohen's Kappa and the fuzzy Kappa are then used to evaluate the agreement between a fuzzy classification of brain tissues on MRI images and its "ground truth". A comparison of the two types of Kappa coefficient is carried out and shows the advantage of the fuzzy Kappa and some limitations of Cohen's Kappa in the fuzzy case. [All rights reserved Elsevier].
语种	英语 ; 英语
出版者	Elsevier ; Netherlands
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/10960]
专题	清华大学
推荐引用方式 GB/T 7714	Dou, W.,Yuan Ren,Qian Wu,et al. Fuzzy kappa for the agreement measure of fuzzy classifications[J],2010, 2010.
APA	Dou, W..,Yuan Ren.,Qian Wu.,Su Ruan.,Yanping Chen.,...&Constans, J.-M..(2010).Fuzzy kappa for the agreement measure of fuzzy classifications..
MLA	Dou, W.,et al."Fuzzy kappa for the agreement measure of fuzzy classifications".(2010).

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