Fuzzy Graphs
John Nelson Mordeson, Premchand S. Nair · Studies in fuzziness and soft computing · 2001
Any relation R ⊒ S × S on a set can be regarded as defining a graph with vertex set S and edge set R . That is, a graph is a pair ( S, R ), where S is a set and R is a relation on S . Similarly, any fuzzy relation R on a fuzzy subset à of a set S can be regarded as defining a weighted graph, or fuzzy graph, where the edge ( x , y ) ∈ S × S has weight or strength R(x,y)∈[0,1]. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.