Fuzzy graph theory is finding an increasing number of applications in modeling real-time systems where the level of information inherent in the system varies with different levels of precision. Fuzzy models are becoming useful because of their aim in reducing the differences between the traditional numerical models used in engineering and sciences, and the symbolic models used in expert systems. A bipolar fuzzy model is a generalized soft computing model of a fuzzy model that gives more precision, flexibility, and compatibility to a system when compared with systems designed using fuzzy models. In this research article, we introduce certain types of bipolar fuzzy competition graphs, including bipolar fuzzy \(k\)-competition, bipolar fuzzy \(p\)-competition, and bipolar fuzzy \(m\)-competition. We investigate some properties of these new concepts.
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