The leader–follower consensus of a class variable-order fractional (VOF) uncertain linear multi-agent systems is studied in this paper. Firstly, new general lemma proposed to find Lyapunov candidate functions for the stability VOF systems. Secondly, according and theorem systems, by using singular value decomposition matrices some related lemmas, sufficient condition obtain given form matrix in...

Uncertain random variable is a tool to deal with a mixture of uncertainty and randomness. This paper presents an operational law of uncertain random variables, and shows an expected value formula by using probability and uncertainty distributions. This paper also provides a framework of uncertain random programming that is a type of mathematical programming involving uncertain random variables....

Partial entropy is a measure to characterize how much of entropy of an uncertain random variable belongs to uncertain variables. In this paper, a definition of partial quadratic entropy of uncertain random variables is proposed. Furthermore, some properties of partial quadratic entropy are derived such as positive linearity. c ©2016 World Academic Press, UK. All rights reserved.

In this paper, some multi-item imperfect production-inventory models without shortages for defective and deteriorating items with uncertain/ imprecise holding and production costs and resource constraint have been formulated and solved for optimal production. Here, the rate of production is assumed to be a function of time and considered as a control variable. Also the demand is time dependent ...

<p style='text-indent:20px;'>Uncertainty and randomness are two basic types of indeterminacy, where uncertain variable is used to represent quantities with human uncertainty random applied for modeling objective randomness. In many real systems, often exist simultaneously. Then chance measure can be handle such cases. We know that the skewness a distributional asymmetry. However, concept ...