New Applications of m-Polar Fuzzy Competition Graphs

Abstract

An [Formula: see text]-polar fuzzy model is a generalization of the fuzzy model. This model is useful for multi-polar information, multi-agent, multi-attribute and multi-object network models. In this research paper, we first introduce certain new concepts, including [Formula: see text]-polar fuzzy digraphs, [Formula: see text]-polar fuzzy-out neighborhood, [Formula: see text]-polar fuzzy-in neighborhood, [Formula: see text]-polar fuzzy competition graphs and [Formula: see text]-polar fuzzy [Formula: see text]-competition graphs. Moreover, we describe the construction of [Formula: see text]-polar fuzzy competition graphs of certain products of [Formula: see text]-polar fuzzy digraphs from their respective [Formula: see text]-polar fuzzy competition graphs. We present some applications of [Formula: see text]-polar fuzzy competition graphs in food webs. Finally, we present certain algorithms for computing strength of competition between species.