Signed Fuzzy Graphs Domination in Environmental Monitoring Wireless Sensor Networks

Authors

  • Sankar Chakaravarthy Department of Mathematics, St. Joseph’s College of Engineering, OMR, Chennai-600119, Tamilnadu, India
  • Mariappan Saravanan Department of Mathematics, Mannar Thirumalai Naicker College, Pasumalai, Madurai625004, Tamilnadu, India
  • Ramalingam Sujatha School of Science and Humanities(Mathematics), Shiv Nadar University Chennai, OMR, Chennai-603110, Tamilnadu, India
  • Gangatharan Venkat Narayanan Department of Mathematics, St. Joseph’s College of Engineering, OMR, Chennai-600119, Tamilnadu, India

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.5872

Keywords:

Signed-Fuzzy Graph (SFG)

Abstract

Signed Fuzzy Graphs (SFGs), a mathematical structure having nodes associated with membership values and edges consisting of positive and negative signs, give a multi-faceted mathematical model to deal with uncertainty and polarity in graph-based networks. Exploring the theories of SFG and its applications helps to understand the complex networks and their characteristics. This study intends to examine the key theorems pertaining to vertex and edge degrees and their membership values by highlighting their real-time applications in Wireless Sensor Networks (WSNs) and Environmental Monitoring Systems (EMSs), where sensor nodes must maintain reliable communication. The main focus of this paper shifts from the exploration of theorems about vertex and edge degree and their membership values to the introduction of new domination metrics tailored for SFGs, the domination sets and minimum domination sets and their relevance to efficient placement and the operation of WSNs in EMSs. SFGs facilitate effective data collection by ensuring network coverage. This study makes a significant contribution to the field of Fuzzy Mathematics with a comprehensive understanding of complex networks and their characteristics.

Downloads

Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Mathematical and Fuzzy Logic

License

Copyright (c) 2025 Sankar Chakaravarthy, Mariappan Saravanan, Ramalingam Sujatha, Gangatharan Venkat Narayanan

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Signed Fuzzy Graphs Domination in Environmental Monitoring Wireless Sensor Networks. (2025). European Journal of Pure and Applied Mathematics, 18(4), 5872. https://doi.org/10.29020/nybg.ejpam.v18i4.5872