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Journal articles on the topic 'Single valued neutrosophic hyperideal'

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Published: 5 June 2025

Last updated: 1 August 2025

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1

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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2

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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3

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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4

Alsharari, Fahad, Hanan Alohali, Yaser Saber, and Florentin Smarandache. "An Introduction to Single-Valued Neutrosophic Primal Theory." Symmetry 16, no. 4 (2024): 402. http://dx.doi.org/10.3390/sym16040402.

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This article explores the interconnections among the single-valued neutrosophic grill, single-valued neutrosophic primal and their stratification, uncovering their fundamental characteristics and correlated findings. By introducing the notion of a single-valued neutrosophic primal, a broader framework including the fuzzy primal and intuitionistic fuzzy primal is established. Additionally, the concept of a single-valued neutrosophic open local function for a single-valued neutrosophic topological space is presented. We introduce an operator based on a single-valued neutrosophic primal, illustra

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5

Kim, Smarandache, Lee, and Hur. "Ordinary Single Valued Neutrosophic Topological Spaces." Symmetry 11, no. 9 (2019): 1075. http://dx.doi.org/10.3390/sym11091075.

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We define an ordinary single valued neutrosophic topology and obtain some of its basicproperties. In addition, we introduce the concept of an ordinary single valued neutrosophic subspace.Next, we define the ordinary single valued neutrosophic neighborhood system and we show thatan ordinary single valued neutrosophic neighborhood system has the same properties in a classicalneighborhood system. Finally, we introduce the concepts of an ordinary single valued neutrosophicbase and an ordinary single valued neutrosophic subbase, and obtain two characterizations of anordinary single valued neutrosop

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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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7

Saber, Yaser, Hanan Alohali, Tawfik Elmasry, and Florentin Smarandache. "On single-valued neutrosophic soft uniform spaces." AIMS Mathematics 9, no. 1 (2023): 412–39. http://dx.doi.org/10.3934/math.2024023.

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<abstract><p>In this paper, we introduce the notion of single-valued neutrosophic soft uniform spaces as a view point of the entourage approach. We investigate the relationship among single-valued neutrosophic soft uniformities, single-valued neutrosophic soft topologies and single-valued neutrosophic soft interior operators. Also, we study several single-valued neutrosophic soft topologies induced by a single-valued neutrosophic soft uniform space.</p></abstract>

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8

Akram, Muhammad. "Single-valued Neutrosophic planar graphs." International Journal of Algebra and Statistics 5, no. 2 (2016): 157. http://dx.doi.org/10.20454/ijas.2016.1207.

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We apply the concept of single-valued neutrosophic sets to multigraphs, planar graphs and dual graphs. We introduce the notions of single-valued neutrosophic multigraphs, single-valued neutrosophic planar graphs, and single-valued neutrosophic dual graphs. We illustrate these concepts with examples. We also investigate some of their properties.

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9

Hamidi, Mohammad, and Arsham Borumand Saeid. "Achievable Single-Valued Neutrosophic Graphs in Wireless Sensor Networks." New Mathematics and Natural Computation 14, no. 02 (2018): 157–85. http://dx.doi.org/10.1142/s1793005718500114.

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This paper considers wireless sensor (hyper) networks by single-valued neutrosophic (hyper)graphs. It tries to extend the notion of single-valued neutrosophic graphs to single-valued neutrosophic hypergraphs and it is derived single-valued neutrosophic graphs from single-valued neutrosophic hypergraphs via positive equivalence relation. We use single-valued neutrosophic hypergraphs and positive equivalence relation to create the sensor clusters and access to cluster heads. Finally, the concept of (extended) derivable single-valued neutrosophic graph is considered as the energy clustering of wi

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10

Saber, Yaser. "Connectedness in Single-Valued Neutrosophic Soft Grill Topological Spaces." International Journal of Analysis and Applications 21 (December 18, 2023): 137. http://dx.doi.org/10.28924/2291-8639-21-2023-137.

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The incentive of this article is to continue discovering more interesting results and concepts related to the single-valued neutrosophic soft topological spaces. The concept of the single-valued neutrosophic soft operator φ created from a single-valued neutrosophic soft grill (Kσ, Kτ, Kδ) and a single-valued neutrosophic soft topological space (B, ~T~σ, ~T~ς, ~T~δ) is presented. Connectedness of single-valued neutrosophic soft topological spaces with single-valued neutrosophic soft grills is given. Moreover, the concept of γ-connectedness associated with a single-valued neutrosophic soft opera

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11

Alsharari, Fahad. "£-Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces." Symmetry 13, no. 1 (2020): 53. http://dx.doi.org/10.3390/sym13010053.

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This paper aims to mark out new concepts of r-single valued neutrosophic sets, called r-single valued neutrosophic £-closed and £-open sets. The definition of £-single valued neutrosophic irresolute mapping is provided and its characteristic properties are discussed. Moreover, the concepts of £-single valued neutrosophic extremally disconnected and £-single valued neutrosophic normal spaces are established. As a result, a useful implication diagram between the r-single valued neutrosophic ideal open sets is obtained. Finally, some kinds of separation axioms, namely r-single valued neutrosophic

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Saber, Yaser, Fahad Alsharari, Florentin Smarandache, and Mohammed Abdel-Sattar. "Connectedness and Stratification of Single-Valued Neutrosophic Topological Spaces." Symmetry 12, no. 9 (2020): 1464. http://dx.doi.org/10.3390/sym12091464.

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This paper aims to introduce the notion of r-single-valued neutrosophic connected sets in single-valued neutrosophic topological spaces, which is considered as a generalization of r-connected sets in Šostak’s sense and r-connected sets in intuitionistic fuzzy topological spaces. In addition, it introduces the concept of r-single-valued neutrosophic separated and obtains some of its basic properties. It also tries to show that every r-single-valued neutrosophic component in single-valued neutrosophic topological spaces is an r-single-valued neutrosophic component in the stratification of it. Fi

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Hamidi, M., and F. Smarandache. "Single-Valued Neutro Hyper BCK-Subalgebras." Journal of Mathematics 2021 (September 22, 2021): 1–11. http://dx.doi.org/10.1155/2021/6656739.

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The purpose of this paper is to introduce the notation of single-valued neutrosophic hyper BCK-subalgebras and a novel concept of neutro hyper BCK-algebras as a generalization and alternative of hyper BCK-algebras, that have a larger applicable field. In order to realize the article’s goals, we construct single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BCK-algebras on a given nonempty set. The result of the research is the generalization of single-valued neutrosophic BCK-subalgebras and neutro BCK-algebras to single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BC

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14

Jin, Qiu, Kai Hu, Chunxin Bo, and Lingqiang Li. "A New Single-Valued Neutrosophic Rough Sets and Related Topology." Journal of Mathematics 2021 (July 17, 2021): 1–14. http://dx.doi.org/10.1155/2021/5522021.

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(Fuzzy) rough sets are closely related to (fuzzy) topologies. Neutrosophic rough sets and neutrosophic topologies are extensions of (fuzzy) rough sets and (fuzzy) topologies, respectively. In this paper, a new type of neutrosophic rough sets is presented, and the basic properties and the relationships to neutrosophic topology are discussed. The main results include the following: (1) For a single-valued neutrosophic approximation space U , R , a pair of approximation operators called the upper and lower ordinary single-valued neutrosophic approximation operators are defined and their propertie

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15

Das, Suman, Rakhal Das, Prasanna Poojary, and Vadiraja Bhatta G. R. "Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space." International Journal of Neutrosophic Science 20, no. 2 (2023): 15–23. http://dx.doi.org/10.54216/ijns.200302.

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The main objective of this article is to procure the notion of single-valued quadripartitioned neutrosophic minimal structure space (SVQNMSS) and introduce the notion of single-valued quadripartitioned neutrosophic minimal open set and single-valued quadripartitioned neutrosophic minimal continuous function in it. Further, we study several fundamental properties of continuity in SVQNMSS, such as the composition of single-valued quadripartitioned neutrosophic minimal continuous functions and the product of single-valued quadripartitioned neutrosophic minimal functions in product SVQNMSS.

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Mehra, Seema, and Manjeet Singh. "Single Valued Neutrosophic Signedgraphs." International Journal of Computer Applications 157, no. 9 (2017): 31–34. http://dx.doi.org/10.5120/ijca2017912813.

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17

Jun Hui Kim, Jeonggon Lee, Kul Hur, and 임평기. "Single valued neutrosophic relations." ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 16, no. 2 (2018): 201–21. http://dx.doi.org/10.30948/afmi.2018.16.2.201.

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Saber, Yaser, Fahad Alsharari, and Florentin Smarandache. "On Single-Valued Neutrosophic Ideals in Šostak Sense." Symmetry 12, no. 2 (2020): 193. http://dx.doi.org/10.3390/sym12020193.

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Neutrosophy is a recent section of philosophy. It was initiated in 1980 by Smarandache. It was presented as the study of origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. In this paper, we introduce the notion of single-valued neutrosophic ideals sets in Šostak’s sense, which is considered as a generalization of fuzzy ideals in Šostak’s sense and intuitionistic fuzzy ideals. The concept of single-valued neutrosophic ideal open local function is also introduced for a single-valued neutrosophic topological space. The basic structure, espe

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19

Tan, Ruipu, Wende Zhang, and Shengqun Chen. "Some Generalized Single Valued Neutrosophic Linguistic Operators and Their Application to Multiple Attribute Group Decision Making." Journal of Systems Science and Information 5, no. 2 (2017): 148–62. http://dx.doi.org/10.21078/jssi-2017-148-15.

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Abstract This paper proposes a group decision making method based on entropy of neutrosophic linguistic sets and generalized single valued neutrosophic linguistic operators. This method is applied to solve the multiple attribute group decision making problems under single valued neutrosophic liguistic environment, in which the attribute weights are completely unknown. First, the attribute weights are obtained by using the entropy of neutrosophic linguistic sets. Then three generalized single valued neutrosophic linguistic operators are introduced, including the generalized single valued neutro

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20

Zhao, Ruirui, Minxia Luo, and Shenggang Li. "Reverse triple I method based on single valued neutrosophic fuzzy inference." Journal of Intelligent & Fuzzy Systems 39, no. 5 (2020): 7071–83. http://dx.doi.org/10.3233/jifs-200265.

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The theory of single valued neutrosophic sets, which is a generalization of intuitionistic fuzzy sets, is more capable of dealing with inconsistent information in practice. In this paper, we propose reverse triple I method under single valued neutrosophic environment. Firstly, we give the definitions of single valued neutrosophic t-representation t-norms and single valued neutrosophic residual implications. Secondly, we develop a formula for calculating single valued neutrosophic residual implications. Then we propose reverse triple I method based on left-continuous single valued neutrosophic

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21

Nagarajan, D., and J. Kavikumar. "Single-Valued and Interval-Valued Neutrosophic Hidden Markov Model." Mathematical Problems in Engineering 2022 (September 29, 2022): 1–12. http://dx.doi.org/10.1155/2022/5323530.

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Neutrosophic sets are employed to be handled indeterminacy in a real-life situation. Thus, neutrosophic approaches in the medical domain prove their excellence. The neutrosophic hidden Markov model is an inventiveness domain for uncertainty. The existing hidden Markov models are not able to consider the uncertainty information, but the neutrosophic hidden Markov model effectively finds the optimal path between the states where vagueness exists. The proposed study comprises the idea of single-value and interval-valued neutrosophic sets into the hidden Markov model and decoding the path using th

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22

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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Akram, Muhammad, Hina Gulzar, Florentin Smarandache, and Said Broumi. "Certain Notions of Neutrosophic Topological K-Algebras." Mathematics 6, no. 11 (2018): 234. http://dx.doi.org/10.3390/math6110234.

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The concept of neutrosophic set from philosophical point of view was first considered by Smarandache. 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. In this research article, we apply the notion of single-valued neutrosophic sets to K-algebras. We introduce the notion of single-valued neutrosophic topological K-algebras and investigate some of their properties. Further, we study certain properties, including C 5 -connected, super connected, compact and Hausdorff, of single-val

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Luo, Minxia, Ziyang Sun, Donghui Xu, and Lixian Wu. "Fuzzy Inference Full Implication Method Based on Single Valued Neutrosophic t-representable t-norm: Purposes, Strategies, and a Proof-of-Principle Study." Neutrosophic Systems with Applications 14 (January 7, 2024): 1–16. http://dx.doi.org/10.61356/j.nswa.2024.104.

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As a generalization of intuitionistic fuzzy sets, single-valued neutrosophic sets have certain advantages in solving indeterminate and inconsistent information. In this paper, we study the fuzzy inference full implication method based on single-valued neutrosophic t-representable t-norm. Firstly, single-valued neutrosophic fuzzy inference triple I principles for fuzzy modus ponens and fuzzy modus tollens are given. Then, single-valued neutrosophic R-type triple I solutions for FMP and FMT are given. Finally, the robustness of the full implication triple I method based on the left-continuous si

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Luo, Minxia, Ziyang Sun, and Lixian Wu. "Fuzzy Inference Quintuple Implication Method Based on Single Valued Neutrosophic t-representable t-norm." Neutrosophic Optimization and Intelligent Systems 3 (April 25, 2024): 8–22. http://dx.doi.org/10.61356/j.nois.2024.3233.

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In this paper, we study the single valued neutrosophic fuzzy inference quintuple implication method. Firstly, single valued neutrosophic fuzzy inference quintuple implication principles for fuzzy modus ponens and fuzzy modus tollens are given. Then, single-valued neutrosophic R-type quintuple implication solutions for fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT) are given. Finally, the robustness of the quintuple implication method based on a left-continuous single-valued neutrosophic t-representable t-norm is investigated. As a special case of the main results, the sensitivity of qu

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Xu, Dongsheng, Xiangxiang Cui, and Huaxiang Xian. "An Extended EDAS Method with a Single-Valued Complex Neutrosophic Set and Its Application in Green Supplier Selection." Mathematics 8, no. 2 (2020): 282. http://dx.doi.org/10.3390/math8020282.

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The single-valued complex neutrosophic set is a useful tool for handling the data with uncertainty and periodicity. In this paper, a single-valued complex neutrosophic EDAS (evaluation based on distance from average slution) model has been established and applied in green supplier selection. Firstly, the definition of single-valued complex neutrosophic set and corresponding operational laws are briefly introduced. Next, to fuse overall single-valued complex neutrosophic information, the SVCNEWA and SVCNEWG operators based on single-valued complex neutrosophic set, Einstein product and sum are

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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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Ye, Jun. "Multiple-attribute Decision-Making Method under a Single-Valued Neutrosophic Hesitant Fuzzy Environment." Journal of Intelligent Systems 24, no. 1 (2015): 23–36. http://dx.doi.org/10.1515/jisys-2014-0001.

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AbstractOn 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 geometric

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D., Preethi, Rajareega S., J.Vimala, Selvachandran Ganeshsree, and Smarandache Florentin. "Single-Valued Neutrosophic Hyperrings and Single-Valued Neutrosophic Hyperideals." October 20, 2019. https://doi.org/10.5281/zenodo.3514413.

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In this paper, we introduced the concepts of Single-valued neutrosophic hyperring and Single-valued neutrosophic hyperideal. The algebraic properties and structural characteristics of the single-val-ued neutrosophic hyperrings and hyperideals are investigated and verified.

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Muhammad, Shazib Hameed, Ahmad Zaheer, Broumi Said та Ali Shahbaz. "On Characterizations of ($, ε, ς)-Single Valued Neutrosophic Hyperrings and Hyperideals". 29 червня 2022. https://doi.org/10.5281/zenodo.6774954.

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This study included concepts for ($, ε, &sigmaf;)-single valued neutrosophic hyperring (($, ε, &sigmaf;)-SV NHR) and ($, ε, &sigmaf;)-single valued neutrosophic hyperideal (($, ε, &sigmaf;)-SV NHI). ($, ε, &sigmaf;)-single valued neutrosophic hyperrings (($, ε, &sigmaf;)-SV NHRs) and ($, ε, &sigmaf;)-single valued hyperideals (($, ε, &sigmaf;)-SV NHIs) are examined and validated in terms of algebraic features and of structural characteristics.

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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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M., Hamidi, and Borumand Saeid A. "Accessible single-valued neutrosophic graphs." March 27, 2017. https://doi.org/10.5281/zenodo.1041062.

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This paper derived single-valued neutrosophic graphs from single-valued neutrosophic hypergraphs via strong equivalence relation. We show that any weak single-valued neutrosophic graph is a derived single-valued neutrosophic graph and any linear weak single-valued neutrosophic tree is an extendable linear single-valued neutrosophic tree.

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M., Hamidi, and Borumand Saeid A. "Accessible single-valued neutrosophic graphs." September 10, 2018. https://doi.org/10.5281/zenodo.1412355.

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This paper derived single-valued neutrosophic graphs from single-valued neutrosophic hypergraphs via strong equivalence relation. We show that any weak single-valued neutrosophic graph is a derived single-valued neutrosophic graph and any linear weak single-valued neutrosophic tree is an extendable linear single-valued neutrosophic tree.

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M., Hamidi, and Borumand Saeid A. "Accessible single-valued neutrosophic graphs." May 22, 2018. https://doi.org/10.5281/zenodo.1412552.

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This paper derived single-valued neutrosophic graphs from single-valued neutrosophic hypergraphs via strong equivalence relation. We show that any weak single-valued neutrosophic graph is a derived single-valued neutrosophic graph and any linear weak single-valued neutrosophic tree is an extendable linear single-valued neutrosophic tree.

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A., HASSAN, and A. MALIK M. "SINGLE VALUED NEUTROSOPHIC TREES." May 22, 2019. https://doi.org/10.5281/zenodo.3133524.

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The edge connectivity plays important role in computer network problems and path problems. In this paper, we introduce special types of single valued neutrosophic (SVN) bridges, single valued neutrosophic cut-vertices, single valued neutrosophic cycles and single valued neutrosophic trees in single valued neutrosophic graphs, and introduced some of their properties.

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MUHAMMAD, AKRAM, SHAHZADI SUNDAS, and SAEID A.BORUMAND. "SINGLE-VALUED NEUTROSOPHIC HYPERGRAPHS." August 6, 2018. https://doi.org/10.5281/zenodo.1413887.

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We introduce certain concepts, including single-valued neutrosophic hyper- graph, line graph of single-valued neutrosophic hypergraph, dual single-valued neutrosophic hypergraph and transversal single-valued neutrosophic hypergraph.

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A., Rohini, Venkatachalam M., Dafik, Broumi Said, and Smarandache Florentin. "Operations of Single Valued Neutrosophic Coloring." February 5, 2020. https://doi.org/10.5281/zenodo.3639700.

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Smarandache introduced the concept of Neutrosophic which deals with membership, non-membership and indeterminacy values. Wang discussed the Single Valued Neutrosophic sets in 2010. Single Valued Neutrosophic graph was introduced by Broumi and in 2019 Single Valued Neutrosophic coloring was introduced. In this paper, some properties of the Single Valued Neutrosophic Coloring of Strong Single Valued Neutrosophic graph, Complete Single Valued Neutrosophic graph and Complement of Single Valued Neutrosophic graphs are discussed.

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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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Fahad, Alsharari, Smarandache Florentin, and Saber Yaser. "Compactness on Single-Valued Neutrosophic Ideal Topological Spaces." March 21, 2021. https://doi.org/10.5281/zenodo.4625692.

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  In the current paper, particular acheivments of single-valued neutrosophic continuity on a single-valued neutrosophic topological space  are introduced. Some necessary implications between them are illustrated. The theories of <em>r</em>-single-valued neutrosophic compact<em>, r</em>-single-valued neutrosophic ideal compact, <em>r</em>-single-valued neutrosophic quasi H-closed and <em>r-</em>single-valued neutrosophic compact modulo an single-valued neutrosophic ideal  are presented and investigated.

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A., Rohini, Venkatachalam M., Broumi Said, and Smarandache Florentin. "Single Valued Neutrosophic Coloring." August 31, 2019. https://doi.org/10.5281/zenodo.3382503.

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Neutrosophic set was introduced by Smarandache in 1998. Due to some real time situation, decision makers deal with uncertainty and inconsistency to identify the best result. Neutrosophic concept helps to investigate the vague or indeterminacy values. Graph structures used to reduce the complications in solving the system of equations for finding the decision of some real-life problems. In this research study, we introduced the single-valued neutrosophic coloring concept. We introduce various notions, single valued neutrosophic vertex coloring, single valued neutrosophic edge coloring, and sing

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Mohammad, Hamidi, Borumand Saeid Arsham, and Smarandache Florentin. "Single–Valued Neutrosophic Filters in EQ–algebras." September 7, 2018. https://doi.org/10.5281/zenodo.1411239.

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This paper introduces the concept of single–valued neutrosophic EQ–subalgebras, single–valued neutrosophic EQ–prefilters and single–valued neutrosophic EQ–filters. We study some properties of single–valued neutrosophic EQ–prefilters and show how to construct single–valued neutrosophic EQ–filters. Finally, the relationship between single–valued neutrosophic EQ–filters and EQ–filters are studied.

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Ali, Asghar Talebi, Ghassemi Masoomeh, Rashmanlou Hossein, and Broumi Said. "Novel Properties of Edge Irregular Single Valued Neutrosophic Graphs." June 8, 2021. https://doi.org/10.5281/zenodo.4914862.

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In this paper, some types of edge irregular single valued neutrosophic graphs such as neighbourly edge totally irregular single valued neutrosophic graphs, strongly edge irregular single valued neutrosophic graphs and strongly edge totally irregular single valued neutrosophic graphs are introduced. A comparative study between neighbourly edge irregular single valued neutrosophic graphs and neighbourly edge totally irregular single valued neutrosophic graphs is done. Likewise some properties of them are studied. Finally, we have given some interesting results about edge irregular single valued

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Dhavaseelan, R., S. Jafari, M. R. Farahani, and S. Broumi. "On single-valued co-neutrosophic graphs." Neutrosophic Sets and Systems 22 (December 10, 2018). https://doi.org/10.5281/zenodo.2159887.

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In this paper, we introduce the notion of a single-valued co-neutrosophic graphs and study some methods of construction of new single-valued co-neutrosophic graphs. We compute degree of a vertex, strong single-valued co-neutrosophic graphs and complete single-valued co-neutrosophic graphs. We also introduce and give properties of regular and totally regular single-valued co-neutrosophic graphs.

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44

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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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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46

Alsharari, Fahad. "Decompositions of Single-Valued Neutrosophic Continuity via Primalization." Contemporary Mathematics, April 29, 2025, 2752–84. https://doi.org/10.37256/cm.6320255968.

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This paper introduces new single-valued neutrosophic closure operators based on single-valued neutrosophic primals, laying the foundation for single-valued neutrosophic primal topologies. This framework establishes a novel class of topological spaces, termed single-valued neutrosophic primal topological spaces. Within this context, classical topological concepts are redefined to align with the properties of single-valued neutrosophic primal set-topologies. The study explores the basic structure of these topologies, including the construction of bases, and examines relationships between various

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Abdelkrim, Latreche, Barkat Omar, Milles Soheyb, and Ismail Farhan. "Single valued neutrosophic mappings defined by single valued neutrosophic relations with applications." March 22, 2020. https://doi.org/10.5281/zenodo.3723625.

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In this paper, we introduce the notion of single valued neutrosophic mapping defined by single valued neutrosophic relation which isconsidered as a generalization of fuzzy mapping defined by fuzzy relation and several properties related to this notion are studied. Moreover, we generalize the notion of fuzzy topology on fuzzy sets introduced by Kandil et al. to the setting of single valued neutrosophic sets. As applications, we establish the property of continuity in single valued neutrosophic topological space and investigate relationships among various types of single valued neutrosophic cont

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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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Said, Broumi, Talea Mohamed, Bakali Assia, and Smarandache Florentin. "ON BIPOLAR SINGLE VALUED NEUTROSOPHIC GRAPHS." March 3, 2016. https://doi.org/10.5281/zenodo.49137.

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In this article, we combine the concept of bipolar neutrosophic set and graph theory. We introduce the notions of bipolar single valued neutrosophic graphs, strong bipolar single valued neutrosophic graphs, complete bipolar single valued neutrosophic graphs, regular bipolar single valued neutrosophic graphs and investigate some of their related properties. 

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Muhammad, Akram. "Single-Valued Neutrosophic Planar Graphs." November 7, 2016. https://doi.org/10.5281/zenodo.1041687.

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We apply the concept of single-valued neutrosophic sets to multigraphs, planar graphs and dual graphs. We introduce the notions of single-valued neutrosophic multigraphs, single-valued neutrosophic planar graphs, and single-valued neutrosophic dual graphs. We illustrate these concepts with examples. We also investigate some of their properties.

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