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

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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