Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
8-2020
Abstract
In this article, we propose a novel concept of the single-valued neutrosophic fuzzy soft set by combining the single-valued neutrosophic fuzzy set and the soft set. For possible applications, five kinds of operations (e.g., subset, equal, union, intersection, and complement) on single-valued neutrosophic fuzzy soft sets are presented. Then, several theoretical operations of single-valued neutrosophic fuzzy soft sets are given. In addition, the first type for the fuzzy decision-making based on single-valued neutrosophic fuzzy soft set matrix is constructed. Finally, we present the second type by using the AND operation of the single-valued neutrosophic fuzzy soft set for fuzzy decision-making and clarify its applicability with a numerical example.
Publisher
MDPI
Publication Title
Symmetry
Volume
12
Issue
1361
First Page
1
Last Page
17
DOI
doi:10.3390/sym12081361
Language (ISO)
English
Keywords
single-valued neutrosophic fuzzy set; soft set; Algorithm 1; Algorithm 2; decision-making
Recommended Citation
Smarandache, Florentin; Ahmed Mostafa Khalil; Dunqian Chao; A. A. Azzam; and W. Alharby.
"Combination of the Single-Valued Neutrosophic Fuzzy Set and the Soft Set with Applications in Decision-Making."
Symmetry
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
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