Fuzzy Graph Dominance for Networked Communication Optimization
Nijalingappa Yogeesh · 2024
Communication networks, such as mobile ad hoc networks, Internet of Things (IoT) networks, and wireless sensor networks, all play a very important part in today&s;s hyperconnected society. Mobile ad hoc networks are especially important. These networks may be graphically represented as fuzzy graphs, with each point functioning as a substitute for a device and each edge functioning as a representation of a communication link between two devices. The use of fuzzy graph theory, which is an efficient approach for improving the communication coverage, connectivity, and energy efficiency of these networks, may be used to find key nodes that need to be tracked or regulated. This can be done in order to complete various tasks. In this chapter, an introduction is given to the idea of communication networks, which are shown as fuzzy graphs in the above image. In addition, the idea of dominance in fuzzy graphs, as well as the several methods that it might be implemented to improve network performance, is studied. This part is dedicated to discussing the principles of fuzzy graph theory, including subjects such as fuzzy set theory, fuzzy modeling of communication networks, and fuzzy adjacency matrix. After that, it moves on to a discussion of dominance in fuzzy graphs, going into its many different types, characteristics, and features, as well as the qualities that differentiate the many forms of dominance. The chapter also explores how fuzzy graph dominance may be used to discover critical areas for tracking or regulating, in addition to enhancing coverage, connection, and energy efficiency in communication networks. This is one of the many applications of fuzzy graph dominance that are discussed in the chapter. This chapter also delves into the challenges and opportunities that lie ahead for the field of fuzzy graph dominance in communication networks.