Notions of Rough Neutrosophic Digraphs

Nabeela Ishfaq, Sidra Sayed, Muhammad Akram and Florentin Smarandache
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Nabeela Ishfaq: Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
Sidra Sayed: Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
Muhammad Akram: Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
Florentin Smarandache: Department of Mathematics & Science, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA

Mathematics, 2018, vol. 6, issue 2, 1-19

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.

Keywords: rough neutrosophic digraphs; lexicographic product; tensor product; decision-making (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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