Abstract
The present study aims to introduce a bipolar intuitionistic fuzzy competition graph which is the generalization of competition graphs. In a bipolar intuitionistic fuzzy digraph, the targets are valuable as it depends on the competition power of the competitors. Also, the number of competitors may vary sometimes. Based on these clues, this study presents two generalizations of bipolar intuitionistic fuzzy competition graphs namely bipolar intuitionistic fuzzy k-competition graph and bipolar intuitionistic fuzzy p-competition graph. The concept of the directed bipolar intuitionistic fuzzy graph is coined in this study. Moreover, some results on the bipolar intuitionistic fuzzy graph are derived.
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