[Retracted] New Concepts in the Vague Graph Structure with an Application in Transportation

Table 1

Some basic notations.

Notation	Meaning
FG	Fuzzy graph
VG	Vague graph
VC	Vertex cardinality
DN	Domination number
MI-C	Minimal cardinality
FE	Full edge
CGS	Complete graph structure
FGS	Fuzzy graph structure
CN	Closed neighborhood
Ni-IV	Ni-isolated vertex
NiMI-DS	Ni minimal-dominating set
CVGS	Complete vague graph structure
VFDS	Vague full dominating set
CBVGS	Complete bipartite vague graph structure
VS	Vague set
VGS	Vague graph structure
DS	Dominating set
CG	Crisp graph
FD	Fully dominated
GS	Graph structure
SC	Strong capacity
FN	Full neighborhood
ND	Neighborhood degree
FIV	Full isolated vertex
Ni-ND	Ni-neighborhood degree
SVGS	Strong vague graph structure
WC	Weak capacity