Hossein Rashmanlou - Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Rajab ali Borzooei - University of Beheshti

In this paper, we introduce the notions of product vague graph, balanced product vague graph, irregularity and total irregularity of any irregular vague graphs and some results are presented. Also, density and balanced irregular vague graphs are discussed and some of their properties are established. Finally we give an application of vague digraphs.

Vague graph, density, balanced irregular vague graph, product vague graph