Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

2-2018

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.

Publisher

MDPI

Publication Title

Axioms

Volume

7

Issue

14

First Page

1

Last Page

27

DOI

doi:10.3390/axioms7010014

Language (ISO)

English

Keywords

neutrosophic soft rough sets; neutrosophic soft rough graphs; decision-making; algorithm

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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