The Dempster-Shafer theory is founded on probability theory. The entire machinery of probability
theory, and that of measure theory, is at one’s disposal for the understanding and the extension of the
Dempster-Shafer theory. It is well known that information theory is also founded on probability theory.
Claude Shannon developed, in the 1940’s, the basic concepts of the theory and demonstrated their utility in
communications and coding. Shannonian information theory is not, however, the only type of information
theory. In the 1960’s and 1970’s, further developments in this field were made by French and Italian
mathematicians. They developed information theory axiomatically, and discovered not only the Wiener-
Shannon composition law, but also the hyperbolic law and the Inf-law. The objective of this paper is to
demonstrate the mathematical connections between the Dempster Shafer theory and the various types of
information theory. A simple engineering example will be used to demonstrate the utility of the concepts.