AN UNCERTAINTY MEASURE WITH MONOTONICITY UNDER THE RANDOM SET INCLUSION
In the setting of the theory of evidence. we propose a new uncertainty measure which can capture, in modeling a situation including uncertainty, two different kinds of uncertainty: one is what is measured by the Shannon entropy and another is related to cardinality. Our proposed measure is a generalization of the Shannon entropy and monotonic with respect to random set inclusion. Its properties are investigated and its potentiality is illustrated with an example.
uncertainty measure monotonicity random set inclusion theory of evidence shannon entropy