We provide an axiomatic approach to a belief formation process in an informational environment characterized by limited, heterogenous and differently precise information. For a list of previously observed cases an agent needs to express her belief by assigning probabilities to possible outcomes....

An agent wants to derive her belief over outcomes based on past observations collected in her database (memory). There is well establish evidence in the psychology and marketing literature that agents consistently fail (or choose not) to process all available information. An agent might be...