Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

1-2018

Abstract

Graph theory has numerous applications in various disciplines, including computer networks, neural networks, expert systems, cluster analysis, and image capturing. Rough neutrosophic set (NS) theory is a hybrid tool for handling uncertain information that exists in real life. In this research paper, we apply the concept of rough NS theory to graphs and present a new kind of graph structure, rough neutrosophic digraphs. We present certain operations, including lexicographic products, strong products, rejection and tensor products on rough neutrosophic digraphs. We investigate some of their properties. We also present an application of a rough neutrosophic digraph in decision-making.

Publisher

MDPI

Publication Title

Mathematics

Volume

6

Issue

18

First Page

1

Last Page

19

DOI

doi:10.3390/math6020018

Language (ISO)

English

Keywords

rough neutrosophic digraphs; lexicographic product; tensor product; decision-making

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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