Abstract

An m-polar fuzzy model is useful for multipolar information, multi-agent, multi-attribute and multi-object network models. In this research paper, the concept of m-polar fuzzy competition graphs is introduced and some related properties of m-polar open neighbourhood graphs, m-polar fuzzy closed neighbourhood graphs, m-polar fuzzy k-competition graphs and underlying m-polar fuzzy graphs are investigated. Some interesting applications of m-polar fuzzy competition graphs in different fields including business marketing, politics, network communication and social networks are described. Certain algorithms for computing strength of competition in each application are presented.

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