  In this paper, we generalize the belief function on complex plane from
another point of view. We first propose a new concept of complex mass function
based on the complex number, called complex basic belief assignment, which is a
generalization of the traditional mass function in Dempster-Shafer evidence
theory. On the basis of the de nition of complex mass function, the belief
function and plausibility function are generalized. In particular, when the
complex mass function is degenerated from complex numbers to real numbers, the
generalized belief and plausibility functions degenerate into the traditional
belief and plausibility functions in DSE theory, respectively.
