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Axioms 2018, 7(1), 14; https://doi.org/10.3390/axioms7010014

Neutrosophic Soft Rough Graphs with Application

1
Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
2
Mathematics & Science Department, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA
*
Author to whom correspondence should be addressed.
Received: 27 January 2018 / Revised: 17 February 2018 / Accepted: 23 February 2018 / Published: 26 February 2018
(This article belongs to the Special Issue Neutrosophic Multi-Criteria Decision Making)
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Abstract

Neutrosophic sets (NSs) handle uncertain information while fuzzy sets (FSs) and intuitionistic fuzzy sets (IFs) fail to handle indeterminate information. Soft set theory, neutrosophic set theory, and rough set theory are different mathematical models for handling uncertainties and they are mutually related. The neutrosophic soft rough set (NSRS) model is a hybrid model by combining neutrosophic soft sets with rough sets. We apply neutrosophic soft rough sets to graphs. In this research paper, we introduce the idea of neutrosophic soft rough graphs (NSRGs) and describe different methods of their construction. We consider the application of NSRG in decision-making problems. In particular, we develop efficient algorithms to solve decision-making problems. View Full-Text
Keywords: neutrosophic soft rough sets; neutrosophic soft rough graphs; decision-making; algorithm neutrosophic soft rough sets; neutrosophic soft rough graphs; decision-making; algorithm
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Akram, M.; Malik, H.M.; Shahzadi, S.; Smarandache, F. Neutrosophic Soft Rough Graphs with Application. Axioms 2018, 7, 14.

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