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Open AccessArticle

Complex Neutrosophic Hypergraphs: New Social Network Models

Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
Mathematics & Science Department, University of New Mexico, Albuquerque, NM 87131, USA
Authors to whom correspondence should be addressed.
Algorithms 2019, 12(11), 234;
Received: 28 September 2019 / Revised: 26 October 2019 / Accepted: 4 November 2019 / Published: 6 November 2019
(This article belongs to the Special Issue Graph-Theoretical Algorithms and Hybrid/Collaborative Technologies)
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.
Keywords: complex neutrosophic hypergraphs; T-related complex neutrosophic hypergraphs; algorithms; comparative analysis complex neutrosophic hypergraphs; T-related complex neutrosophic hypergraphs; algorithms; comparative analysis
MDPI and ACS Style

Luqman, A.; Akram, M.; Smarandache, F. Complex Neutrosophic Hypergraphs: New Social Network Models. Algorithms 2019, 12, 234.

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