On the uniqueness of possibilistic measure of uncertainty and information

摘要: Abstract It is demonstrated, through a series of theorems, that the U -uncertainty (introduced by Higashi and Klir in 1982) only possibilistic measure uncertainty information satisfies counterparts axioms well established Shannon hartley measures information. Two complementary forms probabilistic branching (or grouping) axiom, which usually used proofs uniqueness measure, are introduced this paper for first time. A one-to-one correspondence between possibility distributions basic assignments Shafer his mathematical theory evidence) instrumental most paper. The proof based on formulations symmetry, expansibility, additivity, branching, monotonicity, normalization.