On new maximal product of some constant intuitionistic fuzzy graphs

Authors

  • P Indumathi Sri Ramakrishna Mission Vidyalaya College of Arts and Science
  • A Pradeepa P.A. College of Engineering and Technology
  • S Santhosh Kumar Sri Ramakrishna Mission Vidyalaya College of Arts and Sciecne
  • M M Shanmugapriya Karpagam Academy of Higher Education

Abstract

This paper investigates the maximal product operation on constant intuitionistic fuzzy graphs (CIFGs)---a subclass of intuitionistic fuzzy graphs in which all edges are assigned fixed membership and non-membership values. We formally define the maximal product of two CIFGs and examine its structural properties. Specifically, we analyze how the degrees of vertices and edges behave under this operation. Several theorems are established to characterize the degree-based properties of the maximal product, and these are supported by illustrative examples to validate the theoretical findings. The results contribute to the broader understanding of intuitionistic fuzzy graph operations and offer insights for their application in modeling uniform uncertainty across domains such as network analysis and decision-making systems.

 

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Published

11/28/2025

Issue

Vol. 16 No. 4 (2025): Mathematics in Engineering, Science and Aerospace (MESA)

Section

Articles