A Study on Cubic Fuzzy Competition Graph Labeling

Abstract

In this work, we study the notion of cubic fuzzy competition graphs as a hybrid framework for modeling competitive interactions under uncertainty. The proposed model combines the structure of competition graphs with cubic fuzzy information, where each arc or induced competition relation is described by a point membership and an interval-valued membership. This dual representation provides greater flexibility and precision than ordinary fuzzy competition graphs in capturing ambiguous relations. We define the cubic fuzzy competition graph associated with a cubic fuzzy digraph and discuss with example.