Affiliations: [a] Department of Math., Faculty of Mathematics, Payame Noor University, Tehran, Iran
| [b] Department of Math., University of New Mexico, Gallup, NM, USA
Correspondence:
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Corresponding author. Mohammad Hamidi, Department of Math., Faculty of Mathematics, Payame Noor University, Tehran, Iran. E-mail: m.hamidi@pnu.ac.ir.
Abstract: This paper considers networks as wireless sensor (hyper)networks and social (hyper)networks by single–valued neutrosophic (directed)(hyper)graphs.The notion of single–valued neutrosophic hypergraphs are extended to single–valuedneutrosophic directed hypergraphs and conversely. We derived single–valued neutrosophic digraphs from single–valued neutrosophic directed hypergraphs via a positive equivalence relation. It tries to use single–valued neutrosophic directed hypergraphs and positive equivalence relation to create the sensor clusters and to access to cluster heads in wireless sensor (hyper)networks. Finally, the concept of α-derivable single–valued neutrosophic digraph is considered as the energy-efficient protocol of wireless sensor networks and is applied this concept as a tool in wireless sensor (hyper)networks.
