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Journal articles on the topic 'Single valued neutrosophic set'

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Published: 2 June 2025

Last updated: 31 July 2025

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1

Hameed, M. Shazib, Zaheer Ahmad, Salman Mukhtar та Asad Ullah. "Some results on χ-single valued neutrosophic subgroups". Indonesian Journal of Electrical Engineering and Computer Science 23, № 3 (2021): 1583–89. https://doi.org/10.11591/ijeecs.v23.i3.pp1583-1589.

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In this study, we develop a novel structure χ-single valued neutrosophic set, which is a generalization of the intuitionistic set, inconsistent intuitionistic fuzzy set, Pythagorean fuzzy set, spherical fuzzy set, paraconsistent set, etc. Fuzzy subgroups play a vital role in vagueness structure, it differ from regular subgroups in that it is impossible to determine which group elements belong and which do not. In this paper, we investigate the concept of a χ-single valued neutrosophic set and χ-single valued neutrosophic subgroups. We explore the idea of χ-single valued neutros

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2

Vadiraja, Vadiraja, Prasanna Poojary, Vadiraja Bhatta G. R., and Sunny Kumar Sharma. "Single-Valued Pentapartitioned Neutrosophic Bi-Topological Spaces." International Journal of Neutrosophic Science 23, no. 4 (2024): 194–205. http://dx.doi.org/10.54216/ijns.230415.

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In this article, we present the notion of Single-Valued Pentapartitioned Neutrosophic Bi-Topological Space (SVPNBTS) as a generalization of Single-Valued Pentapartitioned Neutrosophic Topological Space (SVPNTS) and Neutrosophic Bi-Topological Space (NBTS). Besides, we study the different types of open set and closed set namely single-valued pentapartitioned neutrosophic bi-open set (SVPNBOS), single-valued pentapartitioned neutrosophic bi-closed set (SVPNBCS), single-valued pentapartitioned neutrosophic bi-semi-open set (SVPNBSOS), single-valued pentapartitioned neutrosophic bi-semi-closed set

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3

Saber, Yaser, Mohamed Abusalih, Esam Bader, Tawfik Elmasry, Abdelaziz Babiker, and Florentin Smarandache. "Single-Valued Neutrosophic Ideal Approximation Spaces." International Journal of Analysis and Applications 22 (February 5, 2024): 26. http://dx.doi.org/10.28924/2291-8639-22-2024-26.

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In this paper, we defined the basic idea of the single-valued neutrosophic upper (αn)δ, single-valued neutrosophic lower (αn)δ and single-valued neutrosophic boundary sets (αn)B of a rough single-valued neutrosophic set αn in a single-valued neutrosophic approximation space (F˜, δ). Based on αn and δ, we introduced the single-valued neutrosophic ideal approximation interior operator intδαn and the single-valued neutrosophic ideal approximation closure operator Clδαn. We joined the single-valued neutrosophic ideal notion with the single-valued neutrosophic approximation spaces and then introduc

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4

Khalil, Ahmed Mostafa, Dunqian Cao, Abdelfatah Azzam, Florentin Smarandache, and Wedad R. Alharbi. "Combination of the Single-Valued Neutrosophic Fuzzy Set and the Soft Set with Applications in Decision-Making." Symmetry 12, no. 8 (2020): 1361. http://dx.doi.org/10.3390/sym12081361.

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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 b

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5

Hameed, M. Shazib, Zaheer Ahmad, Salman Mukhtar та Asad Ullah. "Some results on χ-single valued neutrosophic subgroups". Indonesian Journal of Electrical Engineering and Computer Science 23, № 3 (2021): 1583. http://dx.doi.org/10.11591/ijeecs.v23.i3.pp1583-1589.

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<p>In this study, we develop a novel structure χ-single valued neutrosophic set, which is a generalization of the intuitionistic set, inconsistent intuitionistic fuzzy set, Pythagorean fuzzy set, spherical fuzzy set, paraconsistent set, etc. Fuzzy subgroups play a vital role in vagueness structure, it differ from regular subgroups in that it is impossible to determine which group elements belong and which do not. In this paper, we investigate the concept of a χ-single valued neutrosophic set and χ-single valued neutrosophic subgroups. We explore the idea of χ-single valued neutrosophic s

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6

Alsharari, Fahad. "Single-Valued Neutrosophic Roughness via Ideals." International Journal of Analysis and Applications 22 (February 27, 2024): 38. http://dx.doi.org/10.28924/2291-8639-22-2024-38.

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In this paper, we connect the idea of single-valued neutrosophic ideal to the concept of single-valued neutrosophic approximation space to define the concept of single-valued neutrosophic ideal approximation spaces. We present the single-valued neutrosophic ideal approximation interior operator intψΦ and the single-valued neutrosophic ideal approximation closure operator clψΦ, and we present the single-valued neutrosophic ideal approximation preinterior operator pintψΦ and the single-valued neutrosophic ideal approximation pre-closure operator pclψΦ about this concerning single-valued neutroso

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7

Liu, Ning, and Zengtai Gong. "Derivatives and indefinite integrals of single valued neutrosophic functions." AIMS Mathematics 9, no. 1 (2024): 391–411. http://dx.doi.org/10.3934/math.2024022.

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<abstract><p>With the continuous development of the fuzzy set theory, neutrosophic set theory can better solve uncertain, incomplete and inconsistent information. As a special subset of the neutrosophic set, the single-valued neutrosophic set has a significant advantage when the value expressing the degree of membership is a set of finite discrete numbers. Therefore, in this paper, we first discuss the change values of single-valued neutrosophic numbers when treating them as variables and classifying these change values with the help of basic operations. Second, the convergence of

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8

Alsharari, Fahad. "On Single-Valued Neutrosophic Closure Spaces." Symmetry 13, no. 8 (2021): 1508. http://dx.doi.org/10.3390/sym13081508.

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This paper aims to mark out new terms of single-valued neutrosophic notions in a Šostak sense called single-valued neutrosophic semi-closure spaces. To achieve this, notions such as β£-closure operators and β£-interior operators are first defined. More precisely, these proposed contributions involve different terms of single-valued neutrosophic continuous mappings called single-valued neutrosophic (almost β£, faintly β£, weakly β£) and β£-continuous. Finally, for the purpose of symmetry, we define the single-valued neutrosophic upper, single-valued neutrosophic lower and single-valued neutroso

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9

Sinha, Kalyan, and Pinaki Majumdar. "Bipolar quadripartitioned single valued neutrosophic sets." Proyecciones (Antofagasta) 39, no. 6 (2020): 1597–614. http://dx.doi.org/10.22199/issn.0717-6279-2020-06-0095.

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The notion of simple bipolar quadripartition is presented valuable neutrosophic set. Some basic set theoretic terminologies, operations and properties of bipolar quadripartitioned single valued neutrosophic set are given here. Also different types of distances, similarity measures and entropy measure are discussed. Finally a decision making problem using the similarity measure technique of bipolar quadripartitioned single valued neutrosophic sets has been solved.

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10

Faruk, Karaaslan. "Correlation coefficients of single valued neutrosophic refined soft sets and their applications in clustering analysis." December 5, 2014. https://doi.org/10.5281/zenodo.34794.

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Neutrosophic set theory was introduced by Smarandache based on neutrosophy which is a branch of philosophy. The concept of single valued neutrosophic refined set was defined by Ye as an extension of single valued neutrosophic sets introduced by Wang. In this study, the concept of single valued neutrosophic refined soft set is defined as an extension of single valued neutrosophic refined set.

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11

Debapriya, Mondal, Tudu Suklal, Chandra Roy Gopal, and Kumar Roy Tapan. "A Model Describing the Neutrosophic Differential Equation and Its Application On Mine Safety." September 7, 2021. https://doi.org/10.5281/zenodo.5486247.

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In the theory of uncertainty and approximation neutrosophy plays a significant role. Neutrosophy is tool emerged on standard or non-standard to measured the mathematical model of uncertainty, vagueness, ambiguity etc. In light of these major issues, the paper outlines of Neutrosophic Set, Single Valued Neutrosophic Set, Triangular Single Valued Neutrosophic Number and Trapezoidal Single Valued Neutrosophic Number. It also propose Neutrosophic Differential Equation and shown its solution in different conditions. Thereafter mining safety model via Single Valued neutrosophic number be epitomized.

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12

Debapriya, Mondal, Tudu Suklal, Chandra Roy Gopal, and Kumar Roy Tapan. "A Model Describing the Neutrosophic Differential Equation and Its Application on Mine Safety." October 7, 2021. https://doi.org/10.5281/zenodo.5553544.

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In the theory of uncertainty and approximation neutrosophy plays a significant role. Neutrosophy is tool emerged on standard or non-standard to measured the mathematical model of uncertainty, vagueness, ambiguity etc. In light of these major issues, the paper outlines of Neutrosophic Set, Single Valued Neutrosophic Set, Triangular Single Valued Neutrosophic Number and Trapezoidal Single Valued Neutrosophic Number. It also propose Neutrosophic Differential Equation and shown its solution in different conditions. Thereafter mining safety model via Single Valued neutrosophic number be epitomized.

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13

Tahir, Mahmood, Khan Qaisar, and Ali Khan Mohsin. "Q-SINGLE VALUED NEUTROSOPHIC SOFT SETS." August 30, 2016. https://doi.org/10.5281/zenodo.237150.

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In this paper, we have introduced the concept of Q-single value neutrosophic soft set, multi Qsingle valued neutrosophic set and defined some basic results and related properties. We have also defined the idea of Q-single valued neutrosophic soft set, which is the genralizations of Q-fuzzy set, Q-intuitionistic fuzzy set, multi Q-fuzzy set , Multi Q-intuitionistic fuzzy set, Q-fuzzy soft set, Q-intuitionistic fuzzy soft set. We have also defined and discussed some properties and operations of Q-single valued neutrosophic soft set.

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14

Tahir, Mahmood, Khan Qaisar, Ullah Kifayat, and Jan Naeem. "Single Valued Neutrosophic Finite State Machine and Switchboard State Machine." April 30, 2018. https://doi.org/10.5281/zenodo.1237952.

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Using single valued neutrosophic set we introduced the notion of single valued neutrosophic finite state machine, single valued neutrosophic successor, single valued neutrosophic subsystem and single valued submachine, single valued neutrosophic switchboard state machine, homomorphism and strong homomorphism between single valued neutrosophic switchboard state machine and discussed some related results and properties.

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15

ORHAN, ECEMIŞ, ŞAHIN MEMET, and KARGIN ABDULLAH. "SINGLE VALUED NEUTROSOPHIC NUMBER VALUED GENERALIZED NEUTROSOPHIC TRIPLET GROUPS AND ITS APPLICATIONS FOR DECISION MAKING APPLICATIONS." September 10, 2018. https://doi.org/10.5281/zenodo.1413893.

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Neutrosophy is a branch of philosophy. Neutrosophy is based on neutrosophic logic, neutrosophic probability and neutrosophic set. Neutrosophic triplet theory is new structure in neutrosophic set theory. In this study; we introduced notion of generalized neutrosophic triplet group. We defined contrary element for generalized neutrosophic triplet group.

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16

SUDHAKAR.V.J, ALI. A. MOHAMED, and VINOTH.D. "INTERVAL VALUED SIGNED NEUTROSOPHIC GRAPH." May 20, 2019. https://doi.org/10.5281/zenodo.3053289.

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The notion of interval valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets, interval valued fuzzy sets, interval valued intuitionstic fuzzy sets and single valued neutrosophicsets. We apply for the first time the concept of interval valued neutrosophic sets, an instance of neutrosophic sets, to the graph theory. We introduce certain types of interval valued signed neutrosophc graphs (IVNG) and investigate some of their properties with proof and example.

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17

Faruk, Karaaslan, and Hayat Khizar. "Some new operations on single-valued neutrosophic matrices and their applications in multi-criteria group decision making." May 22, 2019. https://doi.org/10.5281/zenodo.3134206.

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The single-valued neutrosophic set plays a crucial role to handle indeterminant and inconsistent information during decision making process. In recent research, a development in neutrosophic theory is emerged, called single-valued neutrosophic matrices, are used to address uncertainties. The beauty of single-valued neutrosophic matrices is that the utilizing of several fruitful operations in decision making. 

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18

Said, Broumi, Talea Mohamed, Smarandache Florentin, and Bakali Assia. "SINGLE VALUED NEUTROSOPHIC GRAPHS." February 9, 2016. https://doi.org/10.5281/zenodo.49142.

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The notion of single valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets. We apply the concept of single valued neutrosophic sets, an instance of neutrosophic sets, to graphs. We introduce certain types of single valued neutrosophic graphs (SVNG) and investigate some of their properties with proofs and examples. 

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19

SAID, BROUMI, TALEA MOHAMED, BAKALI ASSIA, and SMARANDACHE FLORENTIN. "Single Valued Neutrosophic Graphs." December 10, 2016. https://doi.org/10.5281/zenodo.200076.

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The notion of single valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets. We apply the concept of single valued neutrosophic sets, an instance of neutrosophic sets, to graphs. We introduce certain types of single valued neutrosophic graphs (SVNG) and investigate some of their properties with proofs and examples.

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20

Suman, Das, Das Rakhal, and Pramanik Surapati. "Single Valued Pentapartitioned Neutrosophic Graphs." June 29, 2022. https://doi.org/10.5281/zenodo.6774779.

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Background: The notion of single valued pentapartitioned neutrosophic set is the extension of single valued neutrosophic set and quadripartitioned single valued neutrosophic set. The single valued pentapartitioned neutrosophic set is a powerful mathematical tool that comprehensively deals with indeterminacy by splitting it into three independent components, namely, unknown, contradiction, ignorance. We apply the concept of single valued pentapartitioned neutrosophic set to graph theory. Findings: We develop the notions of Single-Valued Pentapartitioned Neutrosophic graph (SVPN-graph) as an ext

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21

Pranab, Biswas, Pramanik Surapati, and C. Giri Bibhas. "TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment." March 19, 2015. https://doi.org/10.5281/zenodo.23173.

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A single-valued neutrosophic set is a special case of neutrosophic set. It has been proposed as a generalization of crisp sets, fuzzy sets, and intuitionistic fuzzy sets in order to deal with incomplete information. In this paper, a new approach for multi-attribute group decisionmaking problems is proposed by extending the technique for order preference by similarity to ideal solution to single-valued neutrosophic environment.

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22

Songsong, Dai. "(α,β,γ)-Equalities of single valued neutrosophic sets". 28 квітня 2018. https://doi.org/10.5281/zenodo.1235053.

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23

Jiongmei, Mo, and Huang Han-Liang. "(T, S)-Based Single-Valued Neutrosophic Number Equivalence Matrix and Clustering Method." May 20, 2019. https://doi.org/10.5281/zenodo.3044663.

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Fuzzy clustering is widely used in business, biology, geography, coding for the internet and more. A single-valued neutrosophic set is a generalized fuzzy set, and its clustering algorithm has attracted more and more attention. An equivalence matrix is a common tool in clustering algorithms. At present, there exist no results constructing a single-valued neutrosophic number equivalence matrix using t-norm and t-conorm. First, the concept of a (T, S)-based composition matrix is defined in this paper, where (T, S) is a dual pair of triangular modules. Then, a (T, S)-based single-valued neut

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24

Shahzaib, Ashraf, and Abdullah Saleem. "Decision Support Modeling For Agriculture Land Selection Based On Sine Trigonometric Single Valued Neutrosophic Information." August 19, 2020. https://doi.org/10.5281/zenodo.3991488.

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A single valued neutrosophic set (SVNS) is a useful tool to portray uncertainty in multi attribute decisionmaking. In this article, we develop hybrid averaging and hybrid geometric aggregation operator using sine trigonometric function to handle uncertainty in single valued neutrosophic information, which are, sine trigonometric single valued neutrosophic hybrid weighted averaging (ST-SVNHWA) operator and, sine trigonometric-single valued neutrosophic hybrid weighted geometric (ST-SVNHWG) operator. We investigate properties, namely, idempotancy, monotonicity and boundedness for the proposed op

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Kalyan, Mondal, Pramanik Surapati, and C. Giri Bibhas. "Single Valued Neutrosophic Hyperbolic Sine Similarity Measure Based MADM Strategy." April 28, 2018. https://doi.org/10.5281/zenodo.1235383.

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In this paper, we introduce new type of similarity measures for single valued neutrosophic sets based on hyperbolic sine function. The new similarity measures are namely, single valued neutrosophic hyperbolic sine similarity measure and weighted single valued neutrosophic hyperbolic sine similarity measure.

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26

Bimal, Shil, Das Rakhal, and Das Suman. "Single Valued Pentaparitioned Neutrosophic Off-Set / Over-Set / Under-Set." October 2, 2022. https://doi.org/10.5281/zenodo.7135329.

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The main focus of this paper is to introduce the notion of single valued pentapartitioned neutrosophic off set / over set / under set. Besides, we establish several operations on single valued pentapartitioned neutrosophic off sets / over sets / under sets. Besides, we furnish some suitable examples to validate the results established in this article. Further, we establish some interesting results on single valued pentapartitioned neutrosophic off set / over set / under set. 

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27

Jun, Ye. "Single valued neutrosophic minimum spanning tree and its clustering method." November 6, 2014. https://doi.org/10.5281/zenodo.34894.

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Clustering plays an important role in data mining, pattern recognition, and machine learning. Then, single valued neutrosophic sets (SVNSs) are useful means to describe and handle indeterminate and inconsistent information, which fuzzy sets and intuitionistic fuzzy sets cannot describe and deal with. To cluster the data represented by single value neutrosophic information, the paper proposes a single valued neutrosophic minimum spanning tree (SVNMST) clustering algorithm. Firstly, we defined a generalized distance measure between SVNSs. Then, we present a SVNMST clustering algorithm for cluste

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28

Muhammad, Saeed, Ur Rahman Atiqe, and Ume-e-Farwa. "Optimal Supplier Selection Via Decision-Making Algorithmic Technique Based on Single-Valued Neutrosophic Fuzzy Hypersoft Set." December 12, 2021. https://doi.org/10.5281/zenodo.5775168.

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Hypersoft set, an extension of soft set, is more flexible and useful as it tackles the limitation of soft set for dealing with scenarios where distinct attributes are further classified into disjoint attribute-valued sets. It replaces single-argument approximate function of soft set with multi-argument approximate function. The main goal of this research is to align existing literature on single-valued neutrosophic fuzzy soft sets with the need for such a multi-argument function. Firstly, the novel notions of single-valued neutrosophic fuzzy hypersoft sets are characterized. Some of its essent

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29

Mohana, K., V. Christy, and Smarandache Florentin. "On Multi-Criteria Decision Making problem via Bipolar Single-Valued Neutrosophic Settings." April 6, 2019. https://doi.org/10.5281/zenodo.2631512.

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In this paper, the idea bipolar single-valued neutrosophic (BSVN) set was introduced. We also introduce bipolar single-valued neutrosophic topological space and some of its properties were characterized. Comparing Bipolar single-valued neutrosophic sets with score function, certainty function and accuracy function .Bipolar single-valued neutrosophic weighted average operator (Aω) and bipolar single-valued neutrosophic weighted geometric operator (Gω) were developed and based on Bipolar single-valued neutrosophic set, a multiple decision making problem were evaluated through an exam

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Muhammad, AKRAM, GULZAR Hina, and Ping SHUM Kar. "Single-Valued Neutrosophic Lie Algebras." May 22, 2019. https://doi.org/10.5281/zenodo.3133430.

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A single-valued neutrosophic (SVN) set is a powerful general formal framework that generalizes the concept of fuzzy set and intuitionistic fuzzy set. In SVN set, indeterminacy is quantified explicitly, and truth membership, indeterminacy membership, and falsity membership are independent. In this paper, we apply the notion of SVN sets to Lie algebras. We develop the concepts of SVN Lie subalgebras and SVN Lie ideals. We describe some interesting results of SVN Lie ideals.

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31

Partha, Pratim DEY, PRAMANIK Surapati, and C. GIRI Bibhas. "Neutrosophic Soft Multi-Attribute Group Decision Making Based On Grey Relational Analysis Method." December 6, 2013. https://doi.org/10.5281/zenodo.34869.

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The objective of the paper is to present neutrosophic soft multi attribute group decision making based on grey relational analysis involving multiple decision makers. The concept of neutrosophic soft sets is derived from the hybridization of the concepts of neutrosophic set and soft set. In the decision making process, the decision makers offer the rating of alternatives with respect to the parameters in terms of single valued neutrosophic set.

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Madeleine, Al Tahan. "Some Results on Single Valued Neutrosophic (Weak) Polygroups." August 18, 2020. https://doi.org/10.5281/zenodo.3989336.

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Polygroups are a generalized concept of groups and  the concept of single valued neutrosophic set is a generalization of the classical notion of a set. The objective of this paper is to combine the innovative concept of single valued neutrosophic sets and polygroups. In this regard, we introduce the concepts of single valued neutrosophic polygroups and anti- single valued neutrosophic polygroups. Moreover, we investigate their properties and study the relation between level sets of single valued neutrosophic polygroups and (normal) subpolygroups. 

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Rıdvan, Şahin, and Liu Peide. "Correlation coefficients of single valued neutrosophic hesitant fuzzy sets and their applications in decision making." December 5, 2014. https://doi.org/10.5281/zenodo.34793.

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As a combination of the hesitant fuzzy set (HFS) and the single valued neutrosophic set (SVNS), the single valued neutrosophic hesitant fuzzy set (SVNHFS) is an important concept to handle uncertain and vague information existing in real-life, which consists of three membership functions including hesitancy, as the truth-hesitancy membership function, the indeterminacy-hesitancy membership function and the falsity-hesitancy membership function, and encompass the fuzzy set (FS), intuitionistic fuzzy set (IFS), hesitant fuzzy set (HFS), dual hesitant fuzzy set (DHFS) and singlevalued neutrosophi

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Marzieh, Shamsizadeh. "Single Valued Neutrosophic General Machine." April 9, 2022. https://doi.org/10.5281/zenodo.6426469.

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In this paper, first of all, considering the notions of single-valued neutrosophic and general fuzzy automata we present the concept of single-valued neutrosophic general machine, to simplicity, SVNGM. Also, for a given SVNGM M, we give the concept of single-valued neutrosophic sub-general machine (SVNSGM) of M. Moreover, we show that if there exists a strong homomorphism between two SVNGM, then there is a connection between the SVNSGM of them. Further, we give the notion of single-valued neutrosophic strong sub-general machine (SVNSSGM). In addition, we show that for a given SVNGM M if M&prim

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V.Christy and K.Mohana. "BAIRE SPACES VIA BIPOLAR SINGLE VALUED NEUTROSOPHIC SET." EPRA International Journal of Multidisciplinary Research (IJMR), April 27, 2021, 359–70. http://dx.doi.org/10.36713/epra6877.

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In this paper, we introduce bipolar single valued neutrosophic Baire and bipolar single valued neutrosophic pre Baire spaces in bipolar single valued neutrosophic topological spaces. We also examine some of their properties and characterizations. KEYWORDS: Bipolar single valued neutrosophic Baire space and Bipolar single valued neutrosophic pre Baire space.

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Jun, Ye. "Multiple-attribute Decision-Making Method under a Single-Valued Neutrosophic Hesitant Fuzzy Environment." June 12, 2014. https://doi.org/10.5281/zenodo.23139.

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On the basis of the combination of single-valued neutrosophic sets and hesitant fuzzy sets, this article proposes a single-valued neutrosophic hesitant fuzzy set (SVNHFS) as a further generalization of the concepts of fuzzy set, intuitionistic fuzzy set, single-valued neutrosophic set, hesitant fuzzy set, and dual hesitant fuzzy set. Then, we introduce the basic operational relations and cosine measure function of SVNHFSs. Also, we develop a single-valued neutrosophic hesitant fuzzy weighted averaging (SVNHFWA) operator and a single-valued neutrosophic hesitant fuzzy weighted ge

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Surapati, Pramanik, Biswas Pranab, and C. Giri Bibhas. "Hybrid Vector Similarity Measures and Their Applications to Multi-attribute Decision Making under Neutrosophic Environment." December 5, 2014. https://doi.org/10.5281/zenodo.34828.

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In this paper, we propose new vector similarity measures of single valued and interval neutrosophic sets by hybridizing the concepts of Dice and cosine similarity measures. We present their applications in multi attribute decision making under neutrosophic environment.

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Peng, Xindong, and Chong Liu. "Algorithms for neutrosophic soft decision making based on EDAS and new similarity measure." January 7, 2015. https://doi.org/10.5281/zenodo.232949.

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This paper presents two novel single-valued neutrosophic soft set (SVNSS) methods.First, we initiate a new axiomatic definition of single-valued neutrosophic simlarity measure, which is expressed by single-valued neutrosophic number (SVNN) that will reduce the information loss and remain more original information.

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Said, Broumi, Bisher Zeina Mohamed, Lathamaheswari M., Bakali Assia, and Talea Mohamed. "A Maple Code to Perform Operations on Single Valued Neutrosophic Matrices." April 9, 2022. https://doi.org/10.5281/zenodo.6426465.

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In this paper, we present a maple programming code that helps useres and scientific researchers to input single valued neutrosophic matrices, checks whether inputted matrix is single valued neutrosohic matrix, finds the complement of a single valued neutrosophic matrix, calculates score matrix, accuracy matrix and certainty matrix, finds the union and intersection of two single valued neutrosophic matrices, finds addition and product of two single valued neutrosophic matrices, also finds transpose of single valued neutrosophic matrix. This code is very important and useful in decision making p

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Huiling, Xue, Yu Minrong, and Chen Chunfang. "Research on Novel Correlation Coefficient of Neutrosophic Cubic Sets and Its Applications." May 22, 2019. https://doi.org/10.5281/zenodo.3129990.

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Single-valued neutrosophic cubic set is a good tool to solve the vague and uncertain problems because it containsmore information. The article first gives the correlation coefficient of single-valued neutrosophic cubic sets. Then, a decision method is proposed, and an application in pattern recognition is considered. Finally, examples ar

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Nancy, and Harish Garg. "A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment." May 20, 2019. https://doi.org/10.5281/zenodo.3047677.

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The theme of this work is to present an axiomatic definition of divergence measure for single-valued neutrosophic sets (SVNSs). The properties of the proposed divergence measure have been studied. Further, we develop a novel technique for order preference by similarity to ideal solution (TOPSIS) method for solving single-valued neutrosophic multi-criteria decision-making with incomplete weight information. Finally, a numerical example is presented to verify the proposed approach and to present its effectiveness and practicality.

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Said, Broumi, and Smarandache Florentin. "Single Valued Neutrosophic Information Systems Based on Rough Set Theory." September 11, 2014. https://doi.org/10.5281/zenodo.30313.

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The theory of rough sets was firstly proposed by Pawlak. Later on, Smarandache introduced the concept of neutrosophic (NS) sets in 1998. In this paper based on the concept of rough neutrosohic set, we define the concept of single valued neutrosophic information systems. In addition, we will discuss the knowledge reduction and extension of the single valued neutrosophic information systems.

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Rıdvan, Sahin, and Piede Liu. "Correlation coefficient of single-valued neutrosophic hesitant fuzzy sets and its applications in decision making." June 7, 2016. https://doi.org/10.5281/zenodo.235413.

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As a combination of the hesitant fuzzy set (HFS) and the single-valued neutrosophic set (SVNS), the single-valued neutrosophic hesitant fuzzy set (SVNHFS) is an important concept to handle uncertain and vague information existing in real life, which consists of three membership functions including hesitancy, as the truthhesitancy membership function, the indeterminacy-hesitancy membership function and the falsity-hesitancy membership function, and encompasses the fuzzy set, intuitionistic fuzzy set (IFS), HFS, dual hesitant fuzzy set (DHFS) and SVNS.

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Cetkin, Vildan, Banu Pazar Varol, and Aygun Halis. "On Neutrosophic Submodules of a Module." September 26, 2016. https://doi.org/10.5281/zenodo.235788.

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The target of this study is to observe some of the algebraic structures of a single valued neutrosophic set. So, we introduce the concept of a neutrosophic submodule of a given classical module and investigate some of the crucial properties and characterizations of the proposed concept.

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Emad, Marei. "Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application." April 28, 2018. https://doi.org/10.5281/zenodo.1235387.

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This paper aims to introduce a single valued neutrosophic soft approach to rough sets based on neutrosophic right minimal structure. Some of its properties are deduced and proved. A comparison between traditional rough model and suggested model, by using their properties is concluded to show that Pawlak’s approach to rough sets can be viewed as a special case of single valued neutrosophic soft approach to rough sets.

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Abdullah, Kargın, Dayan Azize, and Merve Şahin Necmiye. "Generalized Hamming Similarity Measure Based on Neutrosophic Quadruple Numbers and Its Applications to Law Sciences." February 18, 2021. https://doi.org/10.5281/zenodo.4549328.

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Neutrosophic quadruple numbers are the newest field studied in neutrosophy. Neutrosophic quadruple numbers, using the certain extent known data of an object or an idea, help us uncover their known part and moreover they allow us to evaluate the unknown part by the trueness, indeterminacy and falsity values. In this study, we generalized Hamming similarity measures for the generalized set-valued neutrosophic quadruple sets and numbers. We showed that generalized Hamming measure satisfies the similarity measure condition. Also, we generalized an algorithm for the generalized set-valued neutrosop

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Muhammad, Ihsan, Ur Rahman1 Atiqe, and Saeed Muhammad. "Single Valued Neutrosophic Hypersoft Expert Set with Application in Decision Making." December 12, 2021. https://doi.org/10.5281/zenodo.5775166.

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Soft set deals with single set of attributes whereas its generalization i.e. hypersoft set deals with multiple disjoint attribute-valued sets corresponding to distinct attributes. In this paper, we first introduced the concept of single valued neutrosophic hypersoft expert sets (SVNHESs) which combines single valued neutrosophic sets and hypersoft expert sets. Some fundamental properties (i.e. subset, not set and equal set), results (i.e. commutative, associative, distributive and D’ Morgan Laws) and set-theoretic operations (i.e. complement, union intersection AND, and OR ) are discusse

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H., Al Akara, Vimala J., and Al-Tahan M. "Some Results on Single Valued Neutrosophic Bi-ideals in Ordered Semigroups." September 7, 2021. https://doi.org/10.5281/zenodo.5486097.

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The importance of the theory of neutrosophy is due to its connections with several fields of sciences, engineering, and technology. So, the aim of this paper is to relate neutrosophy with some algebraic structures mainly the ordered semigroups. In this regard, we define single valued neutrosophic sets in ordered semigroups. More precisely, we study single valued neutrosophic ideals of ordered semigroups and single valued neutrosophic bi-ideals of ordered semigroups.

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Pranab, Biswas, Pramanik Surapati, and C. Giri Bibhas. "TOPSIS method for multi-attribute group decision making under single-valued neutrosophic environment." December 6, 2013. https://doi.org/10.5281/zenodo.34915.

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A single-valued neutrosophic set is a special case of neutrosophic set. It has been proposed as a generalization of crisp sets, fuzzy sets, and intuitionistic fuzzy sets in order to deal with incomplete information.

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Jianming, Zhan, Akram Muhammad, and Sitara Muzzamal. "Novel decision-making method based on bipolar neutrosophic information." May 21, 2019. https://doi.org/10.5281/zenodo.3080351.

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In 1998, Smarandache originally considered the concept of neutrosophic set from philosophical point of view. The notion of a single-valued neutrosophic set is a subclass of the neutrosophic set from a scientific and engineering point of view and an extension of intuitionistic fuzzy sets. A bipolar single-valued neutrosophic set is an extension of a bipolar fuzzy set, which provides us an additional possibility to represent uncertainty, imprecise, incomplete and inconsistent information existing in real situations. 

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