Dempster-Shafer evidence theory (DST) is a theoretical framework for uncertainty modeling and reasoning, with modeling the basic belief assignment (BBA) as one of its most crucial and challenging tasks. The prevailing BBA determination methods have their own pros and cons, and the joint use of them is expected to provide a better BBA. To realize an end-to-end BBA modeling without explicitly using various prevailing BBA modeling methods, a learning-based BBA modeling approach with multi-method fusion (LBMMF) is proposed in this paper. Deep learning is used to train a deep network which learns the mapping from the training samples to the comprehensive BBAs obtained by jointly using the prevailing BBA modeling methods as the generalized training labels. Given a test sample, the corresponding BBA can be obtained in an end-to-end manner, which is the output of the trained deep neural network. Experimental results show that to use the BBA obtained by our method can achieve better classification performance.