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.
single-valued neutrosophic fuzzy set; soft set; Algorithm 1; Algorithm 2; decision-making
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."
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Business Administration, Management, and Operations Commons, Business Analytics Commons, Other Applied Mathematics Commons, Other Mathematics Commons, Set Theory Commons, Strategic Management Policy Commons