Achievable Single-Valued Neutrosophic Graphs in Wireless Sensor Networks

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.

Decision Making Based on Valued Fuzzy Superhypergraphs

“…In addition, the book also sheds light on real-world applications of these hypergraphs, making it a valuable resource for students and researchers in the field of mathematics, as well as computer and social scientists [17]. There is also some research about fuzzy (hyper) graphs and their applications in complex hypernetworks, such as the implementation of single-valued neutrosophic soft hypergraphs on the human nervous system [18], decision-making methods based on fuzzy soft competition hypergraphs [19], hypergraph and network flow-based quality function deployment [20], global domination in fuzzy graphs using strong arcs [21], fuzzy hypergraph modeling, analysis and prediction of crimes [22], single-valued neutrosophic directed (hyper) graphs and applications in networks [23], achievable single-valued neutrosophic graphs in wireless sensor networks [24], fuzzy hypergraph network for recommending top-k profitable stocks [25], an algorithm to compute the strength of competing interactions in the bearing sea based on Pythagorean fuzzy hypergraphs [26] and centrality measures in fuzzy social networks [27]. Recently, Smarandache extended hypergraphs to a new concept as nsuperhypergraph and Plithogenic n-superhypergraph which have several properties and are connected with the real-world [28].…”

A Mathematical Approach on Representation of Competitions: Competition Cluster Hypergraphs

“…Bergen et al [14] studied infection in hypergraphs. ere are various research works on hypergraphs [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. Sonntag and Teichert [30] defined hypertrees, and they extended the notion to competition hypergraphs [31] in another paper in 2004.…”

On KM-Fuzzy Metric Hypergraphs

“…Kaufmann [8], introduced and provided the theory of fuzzy hypergraphs as a generalisation of concept of hypergraphs, in such a way that fuzzy hypergraphs have important applications to decision making, mobile network and similar applications [9,10]. Further materials regarding graphs and hypergraphs are available in the literature too [11][12][13][14][15][16][17][18][19][20][21][22][23].…”