Branch 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
Recommended Citation
Smarandache, Florentin; Muhammad Akram; Hafsa M. Malik; and Sundas Shahzadi.
"Neutrosophic Soft Rough Graphs with Application."
Axioms
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Included in
Applied Mathematics Commons, Logic and Foundations Commons, Number Theory Commons, Other Mathematics Commons
