Representation of competitions by generalized fuzzy graphs

Abstract

Generalized fuzzy graphs are perfect to represent any system like networks, images, scheduling, etc. compared to fuzzy graphs. This study introduces the concept of a generalized fuzzy neighbourhood of a vertex and generalized fuzzy graphs. Also, an associated graph, called minimal graphs of competition graphs are defined. These graphs will represent some practical competitions existing in the world. Some important results regarding the stated graphs are proved. Some area of applications in real life system is focused.