Research Article

Certain Concepts of Interval-Valued Intuitionistic Fuzzy Graphs with an Application

Table 1

Some basic notations.

NotationMeaning

IFGIntuitionistic fuzzy graph
IVFGInterval-valued fuzzy graph
IVIFGInterval-valued intuitionistic fuzzy graph
IVMInterval valued membership
IV-NMInterval-valued nonmembership
I-FGIrregular fuzzy graph
SIStrongly irregular
HIHighly irregular
NINeighborly irregular
VDVarious degree
TDTotal degree
TITotal irregular
MDMembership degree
NENeighbor edge
NEI-IVIFGNeighborly edge irregular interval-valued intuitionistic fuzzy graph
CIVIFGConnected interval-valued intuitionistic fuzzy graph
IVFSInterval-valued fuzzy set
NEINeighborly edge irregular
NETINeighborly edge totally irregular
TERTotally edge regular
SETIStrongly edge totally irregular
SEIStrongly edge irregular
HEIHighly edge irregular
HETIHighly edge totally irregular
CFConstant function