Partial triangular entropy of uncertain random variables and its application

Partial entropy is a device to measure how much of entropy of an uncertain random variable belongs to uncertain variables. However, partial entropy may fail to measure the uncertainty of an uncertain random variable. In this paper, for refining this problem, a definition of partial triangular entropy is presented. In addition, several properties of partial triangular entropy are obtained. Moreover, partial triangular entropy of an uncertain random variable is applied to mean-variance portfolio selection.