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The data in radio astronomy acquired by the digital receiving system is usually affected by various factors. Apart from some uncontrollable factors such as equipment failure and ionospheric scintillation, it is the first indispensable step for data analysis to detect and flag the data affected by Radio Frequency Interference (RFI) from the recorded radio astronomy data sets. In this paper, we mainly review some flagging algorithms that detect and flag corrupted data in radio astronomy. Firstly, we introduce Tfcrop flagging algorithm in Atacama Large Millimeter/submillimeter Array (ALMA). Subsequently, MAD filter, VSR flagging, and ABC flagging which are applied in Giant Metrewave Radio Telescope (GMRT) are discussed. Finally, we compare the advantages and disadvantages among algorithms and make some prospects. The purpose of this investigation is to show different algorithms to make researchers easily find the most suitable data flagging algorithms. For this reason, we make a briefly conclusion.