Combination of the single-valued neutrosophic fuzzy set and the soft set with applications in decision-making

Ahmed Mostafa Khalil; Dunqian Cao; Abdelfatah Azzam; Florentin Smarandache; Wedad R. Alharbi

doi:10.3390/SYM12081361

Combination of the single-valued neutrosophic fuzzy set and the soft set with applications in decision-making

Ahmed Mostafa Khalil
, Dunqian Cao
, Abdelfatah Azzam
, Florentin Smarandache
, Wedad R. Alharbi

Mathematics

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

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.

Original language	English
Article number	1361
Journal	Symmetry
Volume	12
Issue number	8
DOIs	https://doi.org/10.3390/SYM12081361
State	Published - Aug 2020

Keywords

Algorithm 1
Algorithm 2
Decision-making
Single-valued neutrosophic fuzzy set
Soft set

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10.3390/SYM12081361

Cite this

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title = "Combination of the single-valued neutrosophic fuzzy set and the soft set with applications in decision-making",

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.",

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month = aug,

doi = "10.3390/SYM12081361",

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volume = "12",

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T1 - Combination of the single-valued neutrosophic fuzzy set and the soft set with applications in decision-making

AU - Khalil, Ahmed Mostafa

AU - Cao, Dunqian

AU - Azzam, Abdelfatah

AU - Smarandache, Florentin

AU - Alharbi, Wedad R.

PY - 2020/8

Y1 - 2020/8

N2 - 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.

AB - 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.

KW - Algorithm 1

KW - Algorithm 2

KW - Decision-making

KW - Single-valued neutrosophic fuzzy set

KW - Soft set

UR - https://www.scopus.com/pages/publications/85090298739

U2 - 10.3390/SYM12081361

DO - 10.3390/SYM12081361

M3 - Article

AN - SCOPUS:85090298739

SN - 2073-8994

VL - 12

JO - Symmetry

JF - Symmetry

IS - 8

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ER -

Combination of the single-valued neutrosophic fuzzy set and the soft set with applications in decision-making

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Keywords

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