Covariance is a device to measure the joint variability of two uncertain random variables. If
the greater values of one uncertain random variable associated with the greater values of …

Cross-entropy (divergence measure) of two uncertain random variables characterizes the
difference of two chance distributions. Sometimes, we occur with a complex system as a …

Partial entropy is a device to measure uncertainty of an uncertain random variable. In order
to characterize indeterminacy of uncertain random variables, the concept of partial …

This paper proposes a new type of entropy called Renyi entropy as an extension of
logarithm entropy in an uncertain random environment and applies it to portfolio selection …

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 …

A similarity measure determines the similarity between two objects. As important roles of
similarity measure in chance theory, this paper introduces the concept of partial similarity …

This paper proposes a new definition of cross entropy for uncertain random variables, and
derives a formula. Moreover, this paper introduces generalized cross entropy for uncertain …

Entropy is usually used to measure the uncertainty of uncertain random variables. It has
been defined by logarithmic entropy with chance theory. However, this logarithmic entropy …

Entropy is a measure for characterizing indeterminacy of a random variable or an uncertain
variable with respect to probability theory and uncertainty theory, respectively. In order to …

Uncertain random simulation plays an important role in solving uncertain random
optimization problems that include random variables and uncertain variables. In this paper …