Judgement matrix based correlation analysis of detectable and locatable gross errors in observations

The Boolean matrix is used to analyze the judgement matrix in this paper. The number of interaction observations in detecting and locating gross errors, the maximum number of detectable gross errors in the observations, and the maximum number of locatable gross errors in the observations in a surveying system are formulated. The test indicates that the current methods of detecting gross errors, i.e. iteration data snooping and iteration method with variable weights, can't wholly correctly locate the gross errors if the gross errors arise simultaneously and observations are interaction for locating gross errors. The solutions of the experiments verify the effectiveness and superiority of which the judgement matrix and the Boolean matrix are used to analyze the correlation of multiple detectable and locatable gross errors.