Abstract
This study aims to investigate the properties of cartesian multiplication operations on fuzzy graphs. The properties investigated are cartesian multiplication on complete fuzzy graph, effective fuzzy graph and complement fuzzy graph. The method used in this study is a theoretical research method. The results showed that the Cartesian multiplication of two complete fuzzy graphs is not a complete fuzzy graph. The Cartesian multiplication of the two effective fuzzy graphs is the effective fuzzy graph, while for the Cartesian multiplication of the two fuzzy complement graphs, it is not the same as the Cartesian multiplication of the two effective fuzzy graphs.
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