Title
Complex Neutrosophic Hypergraphs: New Social Network Models.
Abstract
A complex neutrosophic set is a useful model to handle indeterminate situations with a periodic nature. This is characterized by truth, indeterminacy, and falsity degrees which are the combination of real-valued amplitude terms and complex-valued phase terms. Hypergraphs are objects that enable us to dig out invisible connections between the underlying structures of complex systems such as those leading to sustainable development. In this paper, we apply the most fruitful concept of complex neutrosophic sets to theory of hypergraphs. We define complex neutrosophic hypergraphs and discuss their certain properties including lower truncation, upper truncation, and transition levels. Furthermore, we define T-related complex neutrosophic hypergraphs and properties of minimal transversals of complex neutrosophic hypergraphs. Finally, we represent the modeling of certain social networks with intersecting communities through the score functions and choice values of complex neutrosophic hypergraphs. We also give a brief comparison of our proposed model with other existing models.
Year
DOI
Venue
2019
10.3390/a12110234
ALGORITHMS
Keywords
Field
DocType
complex neutrosophic hypergraphs,T-related complex neutrosophic hypergraphs,algorithms,comparative analysis
Complex system,Truncation,Discrete mathematics,Mathematical optimization,Falsity,Social network,Constraint graph,Transversal (geometry),Periodic graph (geometry),Mathematics,Neutrosophic set
Journal
Volume
Issue
Citations 
12
11
1
PageRank 
References 
Authors
0.36
0
3
Name
Order
Citations
PageRank
Anam Luqman171.78
Muhammad Akram236554.94
Florentin Smarandache3728104.92