Axioms (Feb 2024)

A Novel Domination in Vague Influence Graphs with an Application

  • Xiaolong Shi,
  • Ruiqi Cai,
  • Ali Asghar Talebi,
  • Masomeh Mojahedfar,
  • Chanjuan Liu

DOI
https://doi.org/10.3390/axioms13030150
Journal volume & issue
Vol. 13, no. 3
p. 150

Abstract

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Vague influence graphs (VIGs) are well articulated, useful and practical tools for managing the uncertainty preoccupied in all real-life difficulties where ambiguous facts, figures and explorations are explained. A VIG gives the information about the effect of a vertex on the edge. In this paper, we present the domination concept for VIG. Some issues and results of the domination in vague graphs (VGs) are also developed in VIGs. We defined some basic notions in the VIGs such as the walk, path, strength of In-pair , strong In-pair, In-cut vertex, In-cut pair (CP), complete VIG and strong pair domination number in VIG. Finally, an application of domination in illegal drug trade was introduced.

Keywords