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Optimizing wireless sensor networks using fuzzy triangular snake graph models and fuzzy topological indices.

Atef F Hashem1, Shama Liaqat2, Zeeshan Saleem Mufti2

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This study introduces fuzzy graph theory to wireless sensor networks (WSNs) using a fuzzy triangular snake model. This approach enhances network resilience and optimizes energy consumption for reliable communication.

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Area of Science:

  • Graph Theory
  • Network Science
  • Fuzzy Mathematics

Background:

  • Wireless Sensor Networks (WSNs) require robust and energy-efficient designs.
  • Traditional graph models may not fully capture the uncertainties inherent in WSNs.
  • Fuzzy graph theory offers a framework to model and analyze systems with imprecise information.

Purpose of the Study:

  • To investigate advanced fuzzy indices on a fuzzy triangular snake graph.
  • To apply these fuzzy indices to model Wireless Sensor Networks (WSNs).
  • To evaluate the network's structural efficiency, robustness, and fault tolerance.

Main Methods:

  • Derivation of closed-form formulas for various fuzzy graph indices (Zagreb, Harmonic, Randić, etc.).
  • Application of these indices to a WSN modeled with redundant triangular connectivity.
  • Analysis of network performance metrics like structural efficiency, robustness, and fault tolerance.

Main Results:

  • The fuzzy triangular snake topology demonstrates balanced node connectivity.
  • The model effectively minimizes energy imbalance within the WSN.
  • Enhanced ability to maintain reliable communication despite node failures and uncertainties.

Conclusions:

  • The fuzzy triangular snake model is applicable for optimizing energy and resilience in WSNs.
  • Fuzzy graph theory provides a valuable tool for designing modern communication networks.
  • A strong correlation exists between fuzzy graph theory and resilient WSN design.