International Journal of Fuzzy Mathematical Archive
  • Year: 2024
  • Volume: 22
  • Issue: 2

Some results in intuitionistic fuzzy graphs

1Department of Mathematics, University of Mazandaran, Babolsar, Iran, Email: a.talebi@umz.ac.ir

2Department of Mathematics, University of Mazandaran, Babolsar, Iran, Email: h.rashmanlou@stu.umz.ac.ir

Online published on 2 July, 2025.

Abstract

The concept, tools and techniques, of an intuitionistic fuzzy graph have found many applications in different areas such as topology, all kinds of systems and networks, computer science, etc. An intuitionistic fuzzy graph is a generalized structure of a fuzzy graph that provides more flexibility, adaptability and compatibility to real human-centric systems than a simpler fuzzy graph. So, in this paper, we study some results in the intuitionistic fuzzy graph (IFG) and present some basic definitions. We investigate several kinds of arcs, for example, αμ-strong, βμ-strong, δμ-arc in an intuitionistic fuzzy graph and analyse some properties. Also, we give intuitionistic fuzzy bridge, intuitionistic fuzzy cut nodes and some interesting properties of an intuitionistic fuzzy bridge.

Keywords

Intuitionistic fuzzy set, μ-strong, γ-strong, Intuitionistic fuzzy bridge, Intuitionistic fuzzy tree