Bipolar inverse fuzzy graphs

In this paper, bipolar inverse fuzzy graphs are introduced. Several operations are made on such graphs and whether these operations result in a bipolar inverse fuzzy graph is investigated. A type of bipolar inverse fuzzy graphs called strong bipolar inverse fuzzy graphs have been studied. The complement graph and dependent threshold of a bipolar inverse fuzzy graph are introduced and it is concluded that the complement of a bipolar inverse fuzzy graph is a strong bipolar inverse fuzzy graph. An inclusion condition regarding threshold graphs corresponding to two bipolar inverse fuzzy graphs with special conditions will result.