ABSTRACT
Definition 1 [Half Fuzzy Graph, HFG]: A Half Fuzzy Graph is a fuzzy relation set =< >G V E, here,
1 V v v vn{ , }1 2= … is the set of vertexes that is used
to express objects in the real world; 2 Fuzzy relation →E V: (0,1)2 is the set of edges
that is used to express connection between the objects, ∀ ∈Eeij is expressed by the correla-
tion ijµ between the start vertex vi and the finish
vertex v j . Here, µ ∈(0,1)ij .
