About complex authentication

The problem of complex authentication is considered. The complex authentication is represented by the sequence of information spaces. Each of these spaces contains the information capable to confirm or refuse the data provided by a user for his authentication. The example of implementation of information spaces usage for authentication is given. In each information space, it is possible to construct the models and to estimate the probability of authentication or its denial. Integration of different probability spaces can be carried out on the basis of a system of bans constructed on the sequences of values of data of authentication from different information spaces.