We present a systematic study of the bipartite ranking problem, with the aim of delineating its connections to the class-probability estimation problem. Our study focuses on the properties of the statistical risk for bipartite ranking, which is closely related to the area under the ROC curve: we establish alternate representations of the risk, relate the Bayes-optimal risk to a class of probabi...

The presence of pesticide residues in Dendrobium officinale (D. officinale), a commonly used herbal medicine, has attracted much attention recent years. Therefore, this study presents the levels 141 forty D. samples, which were measured by high-performance liquid chromatography-tandem mass spectrometry (HPLC-MS/MS). And we deterministic estimate model to assess chronic and acute dietary exposur...

This paper presents an area-based approach to ranking fuzzy numbers in fuzzy decision making. To ensure that all the information that a fuzzy number has is adequately considered, the concepts of the absolute area and the degree of deviation of a fuzzy number are integrated into the process of comparing and ranking fuzzy numbers. To help the decision maker better address the risk inherent in the...