Uncertainty theory is a mathematical methodology for dealing withnon-determinate phenomena in nature. As we all know, uncertainprocess and uncertain integral are important contents of uncertaintytheory, so it is necessary to have deep research. This paperpresents the definition and discusses some properties of strongcomonotonic uncertain process. Besides, some useful formulas ofuncertain integr...

Chance theory is a mathematical methodology for dealing with indeterminatephenomena including uncertainty and randomness.Consequently, uncertain random variable is developed to describe the phenomena which involveuncertainty and randomness.Thus, uncertain random variable is a fundamental concept in chance theory.This paper provides some practical quantities to describe uncertain random variable...

Today, a large amount of uncertain data is produced by several applications where the management systems of traditional databases including indexing methods are not suitable to handle such type of data. In this paper, we propose an inverted based index method for efficiently searching uncertain categorical data over distributed environments. We address two kinds of query over the distributed un...

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...

Uncertainty theory is a branch of mathematics that deals with human uncertainty, and uncertain variable is used to model an uncertain quantity. Uncertainty exists not only in real quantities but also in complex quantities. Complex uncertain variable is mainly used to model a complex uncertain quantity. In uncertainty theory, inverse uncertainty distribution provides an easy way to calculate exp...

Uncertainty theory is a branchof axiomaticmathematics formodelingbelief degrees. This theory provides a new mathematical tool for indeterminacy phenomena. Uncertain variable is a fundamental concept in uncertainty theory and used to represent quantities with uncertainty. There are some important characteristics about uncertain variables. The expected value of uncertain variable is its average v...

In order to deal with a system with both randomness and uncertainty, chance theory has been built, and uncertain random variable has been proposed as a generalization of random variable and uncertain variable. Correspondingly, as a generalization of both stochastic process and uncertain process, this paper will propose an uncertain random process. In addition, some special types of uncertain ra...

Uncertain variable is used to model quantities in uncertainty. This paper considers comonotonic functions of an uncertain variable, and gives their uncertainty distributions. Besides, it proves the linearity of expected value operator on comonotonic functions of an uncertain variable.