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Cubic Fuzzy Competition Graphs with Application
Areeba Maqbool, Uzma Ahmad and Saira Hameed
The article introduces a novel framework by integrating fuzzy competition graphs and cubic fuzzy sets to enhance precision in handling ambiguity and uncertainty in analyzing competitive interactions with cubic fuzzy information. Initially, the cubic fuzzy competition graph and its extension, the cubic fuzzy p-competition graph, are defined. Several pertinent properties are outlined alongside these concepts. Furthermore, an algorithm is presented for assessing competitiveness across different domains. A practical application concerning the selection of healthcare facilities is illustrated to showcase the utility of cubic fuzzy competition graphs. Additionally, a comparative analysis between the suggested concepts and the existing concepts is provided.
Keywords: Cubic fuzzy competition graph, cubic fuzzy p-competition graph, cubic fuzzy out and in neighbourhood, isomorphism of cubic fuzzy graphs, healthcare places