New concepts of coloring in vague graphs with application.

In this paper we discuss about the concepts of vague graphs which gives the precise idea about coloring. We know about the coloring on fuzzy graphs with both fuzzy membership values on vertices and edges. In this work we implement the concept of (α, β) cuts used to define the properties of coloring in vague graphs. Also we relate the idea of coloring on vertices of vague graphs using different methods. In this regard we focus on fuzzifying the vertex membership values of the vague graph into fuzzy membership values and hence implement the concept of coloring in this fuzzified vague graph. [ABSTRACT FROM AUTHOR]