Graph theory has numerous application to problems in systems analysis, operations research, economics, and transportation. However, in many cases, some aspects of a graph-theoretic problem may be uncertain. For example, the vehicle travel time or vehicle capacity on a road network may not be known exactly. In such cases, it is natural to deal with the uncertainty using the methods of fuzzy sets...

In 2006, Espinola and Kirk made a useful contribution on combining fixed point theoryand graph theory. Recently, Reich and Zaslavski studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In this paper, by using  the main idea of their work and the idea of combining fixed point theory on intuitionistic fuzzy metric spaces and graph theory, ...

A new domination parameter in a fuzzy digraph is proposed to espouse contribution the domain of graph and directed graph. Let GD*=V,A be simple graph, where V finite nonempty set A=x,y:x,y∈V,x≠y. GD=σD,μD pair two functions σD:V→0,1 μD:A→0,1, such that μDx,y≤σDx∧σDy, x,y∈V. An edge μDx,y called an effective if μDx,y=σDx∧σDy. The vertex σDx dominates σDy GD edge. S⊆V, u∈V\S, v∈S. subset σDS⊆σD d...