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.

Uncertain hypothesis test is a statistical tool that uses uncertainty theory to determine whether some hypotheses are correct or not based on observed data. As an application of uncertain test, this paper proposes method differential equation fits the data not. In order demonstrate method, numerical examples provided. Finally, both currency model and stochastic used US Dollar Chinese Yuan (USD–...

Let G(V;E) be a graph. The common neighborhood graph (congraph) of G is a graph with vertex set V , in which two vertices are adjacent if and only if they have a common neighbor in G. In this paper, we obtain characteristics of congraphs under graph operations; Graph :::::union:::::, Graph cartesian product, Graph tensor product, and Graph join, and relations between Cayley graphs and its c...

We examine the derivation of consistent concurrency relations in uncertain geometry. This work extends previous work on parallelism and collinearity. We introduce the concept of a metadomain, which is defined as the set of parameter vectors of lines passing through two domains, where a domain is defined as the uncertainty region of the parameter vector of a line segment. The intersection graph ...

Critical path method is a network based method planned for development and organization of complex project in real world application. In this paper, a new methodology has been made to find the critical path in a directed acyclic graph, whose activity time uncertain. The vague parameters in the network are represented by intuitionistic triangular fuzzy numbers, instead of crisp numbers. A new pr...

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...

Abstract This special issue of Cadernos EBAPE.BR sought to provoke a reflection focused on uncertain consumption practices in an future. While prior marketing and consumer research has explored framed by institutionalized, known, more or less predictable context, the set articles approved this edition reveals different nuances. From experiential accounts grief role music coping with struggles i...

This paper summarises work in progress and reports on preliminary results on faults prediction modelling. Cellular networks are uncertain in their behaviours and therefore we use a Bayesian network to model them. We derive probabilistic models of the cellular network system in which the independence relations between the variables of interest are represented explicitly. We use a directed graph ...

Modeling a complex system with large number of variables at one time and collecting global data on scale is usually not practical. It ideal to model the according only local structures, then synthesize them together. Multiple structures can be easily synthesized as structure through fusing same nodes, while multiple sets cannot combined data. Therefore, we need method obtain joint probability d...