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Achievable Single-Valued Neutrosophic Graphs in Wireless Sensor Networks

Author

Listed:
  • Mohammad Hamidi

    (Department of Mathematics, Faculty of Mathematics, Payame Noor University, Tehran, Iran)

  • Arsham Borumand Saeid

    (Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran)

Abstract

This paper considers wireless sensor (hyper) networks by single-valued neutrosophic (hyper)graphs. It tries to extend the notion of single-valued neutrosophic graphs to single-valued neutrosophic hypergraphs and it is derived single-valued neutrosophic graphs from single-valued neutrosophic hypergraphs via positive equivalence relation. We use single-valued neutrosophic hypergraphs and positive equivalence relation to create the sensor clusters and access to cluster heads. Finally, the concept of (extended) derivable single-valued neutrosophic graph is considered as the energy clustering of wireless sensor networks and is applied this concept as a tool in wireless sensor (hyper) networks.

Suggested Citation

  • Mohammad Hamidi & Arsham Borumand Saeid, 2018. "Achievable Single-Valued Neutrosophic Graphs in Wireless Sensor Networks," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 157-185, July.
    • Handle: RePEc:wsi:nmncxx:v:14:y:2018:i:02:n:s1793005718500114
    DOI: 10.1142/S1793005718500114
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