Graphs play a significant role in networking. The fuzzy version of graphs and the fuzzy algebraic structures can be also of vital importance in the field of electronics. In this spirit, we introduce the concept of an isomorphism and its types for the bipolar fuzzy graph known as weak and co-weak isomorphisms. The relationship between a bipolar fuzzy graph and its complement has also been discussed in terms of isomorphisms.

bipolar fuzzy set, bipolar fuzzy graph, isomorphic bipolar fuzzy graphs, self complementary bipolar fuzzy graph, fuzzy graph, isomorphism complementary bipolar fuzzy graph.