Abstract
We draw a fuzzy graph automatically using genetic algorithm (GA). As a crossover in GA, the expanded inversion is used. At first, we give the drawing rules for a fuzzy graph drawing. Then, the nodes are randomly placed at the frames in the lattice. And then the nodes are rearranged using GA so that the graph satisfies the drawing rules. By using this type of inversion the graph with one kind of fuzzy edge length with the expand display region and with the correspondence between the degree of relation of nodes and the fuzzy edge lengths are drawn, the availability of the fuzzy graphs are an estimate. Also, we show that the drawing method is useful for various purposes in sociogram analysis and describe that the method is useful for fuzzy graph drawing problems.
