Author(s)

Jiajun Liu, Liang Lin, Shuai Wu

College of Science, Guilin University of Technology, Guilin, China.

Uncertainty theory is a new branch of axiomatic mathematics for studying the subjective uncertainty. In uncertain theory, uncertain variable is a fundamental concept, which is used to represent imprecise quantities (unknown constants and unsharp concepts). Entropy of uncertain variable is an important concept in calculating uncertainty associated with imprecise quantities. This paper introduces the single parameter entropy of uncertain variable, and proves its several important theorems. In the framework of the single parameter entropy of uncertain variable, we can obtain the supremum of uncertainty of uncertain variable by choosing a proper q. The single parameter entropy of uncertain variable makes the computing of uncertainty of uncertain variable more general and flexible.

Uncertain Distribution; Entropy of Uncertain Variable; Single Parameter Entropy

J. Liu, L. Lin and S. Wu, "Single Parameter Entropy of Uncertain Variables," Applied Mathematics, Vol. 3 No. 8, 2012, pp. 888-894. doi: 10.4236/am.2012.38131.