Uncertain Random Graph and Uncertain Random Network

This paper proposes a concept of uncertain random graph in which some edges exist with some degrees in probability measure and others exist with some degrees in uncertain measure, and discusses the connectivity index of an uncertain random graph. In addition, this paper presents a concept uncertain random network in which some weights are random variables and others are uncertain variables, and obtains the shortest path distribution of an uncertain random network. c ©2014 World Academic Press, UK. All rights reserved.