  We propose an entropy-based information measure, namely the Discounted Least
Information Theory of Entropy (DLITE), which not only exhibits important
characteristics expected as an information measure but also satisfies
conditions of a metric. Classic information measures such as Shannon Entropy,
KL Divergence, and Jessen-Shannon Divergence have manifested some of these
properties while missing others. This work fills an important gap in the
advancement of information theory and its application, where related properties
are desirable.
