Research Article

Novel Concepts of Domination in Vague Graphs with Application in Medicine

Table 1

Some basic notations.

NotationMeaning

FGFuzzy graph
VSVague set
Vague graph
DSDominating set
RDSRestrained dominating set
IDSIndependent dominating set
IDNIndependent dominating number
IR-DNIrredundance dominating number
K-DSK-dominating set
PDSPerfect dominating set
PDNPerfect dominating number
K-DNK-dominating number
T-KDNTotal K-dominating number
MI-PDSMinimal perfect dominating set
T-KDSTotal K-dominating set
RDNRestrained dominating number
GRDNGlobal restrained dominating number
CVGComplete vague graph
EDSEquitable dominating set
GRDSGlobal restrained dominating set