Bibliography

(eng): A new definition of entropy of basic probability assignments in the Dempster–Shafer theory of belief functions is proposed. We state a list of six desired properties of entropy for DS belief functions theory, four of which are motivated by Shannon’s definition of entropy of probability functions, and the remaining two are requirements that adapt this measure to the philosophy of the DS theory. The new definition has two components. The first component is Shannon’s entropy of an equivalent probability mass function obtained using the plausibility transform, which constitutes the conflict measure of entropy. The second component is Dubois-Prade’s definition of entropy of basic probability assignments in the DS theory, which constitutes the non-specificity measure of entropy.