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Journal articles on the topic 'Single valued neutrosophic number'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

.., M. U. Jayanth, I. Paulraj .., A. .., D. Nagarajan, and Broumi Said. "Special Single Valued Decagonal Neutrosophic Number and its Applications." International Journal of Neutrosophic Science 20, no. 1 (2023): 59–67. http://dx.doi.org/10.54216/ijns.200105.

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The Neutrosophic number is defined to solve the vagueness of the real-life problem and to analysis the indeterminacy of the problem, the paper defines a special single valued Decagonal Neutrosophic number and De-Neutrosophication formula are formulated using the removal area method and a numerical practical example is illustrated of network path edges using Neutrosophic number.

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2

Gomathy, S., B. Shoba, A. Rajkumar, and Broumi Said. "Study on Student’s Performance using Single Valued Decagonal Neutrosophic Number in Decision Making Problem." International Journal of Neutrosophic Science 22, no. 2 (2023): 68–77. http://dx.doi.org/10.54216/ijns.220206.

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This article presents a new single valued decagonal Neutrosophic number. The single valued decagonal Neutrosophic number is Deneutrosophicated with the help of bounded area method. The bounded area formula is derived. The single valued decagonal Neutrosophic number is used in the decision-making problem. The performance of students is analyzed using a ranking method. The attributes are taken from the problems related to students and teachers. The attributes are ranked through the single valued decagonal Neutrosophic number.

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Mo, Jiongmei, and Han-Liang Huang. "(T, S)-Based Single-Valued Neutrosophic Number Equivalence Matrix and Clustering Method." Mathematics 7, no. 1 (2019): 36. http://dx.doi.org/10.3390/math7010036.

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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-value

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4

Dayana, Kesavankutty, Boopathi Vennila, and Thirumalaiswami Poongodi. "PERCEPTIONIZATION OF M/D/1 QUEUING MODEL UNDER TRAPEZOIDAL NEUTROSOPHIC NUMBERS." Suranaree Journal of Science and Technology 31, no. 3 (2024): 030190(1–10). http://dx.doi.org/10.55766/sujst-2024-03-e05910.

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In this paper, we provide an NM/ND/1 queuing model with an infinite limit based on the neutrosophic environment. Both the entry and utility rates are represented in terms of single valued neutrosophic trapezoidal numbers (SVTNN). The performance measures of the proposed model are evaluated using the DSW approach and (α, β, γ)-cut approach. A numerical example pertaining to a single valued trapezoidal neutrosophic number is obtained for different values of α, β, γ.

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Pramanik, Surapati. "SVPNN-ARAS strategy for MCGDM under single-valued pentapartitioned neutrosophic number environment." Serbian Journal of Management 18, no. 2 (2023): 405–20. http://dx.doi.org/10.5937/sjm18-44545.

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The aim of the paper is to extend the ARAS (Additive Ratio ASsessment) strategy to the single-valued pentapartitioned neutrosophic number environment which we call the SVPNN-ARAS strategy. The single-valued pentapartitioned neutrosophic number is the extension of fuzzy number and neutrosophic number. It comprehensively deals with uncertainty as it replaces indeterminacy with three independent entities, namely, contradiction, ignorance, and unknown. To develop a decision-making strategy, the arithmetic averaging operator for pentapartitioned numbers is defined and its basic properties are estab

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Smarandache, Florentin. "Refined Neutrosophy and Lattices vs. Pair Structures and YinYang Bipolar Fuzzy Set." Mathematics 7, no. 4 (2019): 353. http://dx.doi.org/10.3390/math7040353.

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In this paper, we present the lattice structures of neutrosophic theories. We prove that Zhang-Zhang’s YinYang bipolar fuzzy set is a subclass of the Single-Valued bipolar neutrosophic set. Then we show that the pair structure is a particular case of refined neutrosophy, and the number of types of neutralities (sub-indeterminacies) may be any finite or infinite number.

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7

Milles, Soheyb, Abdelkrim Latreche, and Omar Barkat. "More on standard single valued neutrosophic metric spaces." Journal of Innovative Applied Mathematics and Computational Sciences 1, no. 1 (2021): 40–47. http://dx.doi.org/10.58205/jiamcs.v1i1.11.

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Recently, we have introduced the notion of standard single valued neutrosophic (SSVN) metric space as a generalization of the notion of standard fuzzy metric spaces given by J.R. Kider and Z.A. Hussain. In this paper, we study the fundamental properties of standard single valued neutrosophic metric spaces. Furthermore, we introduce the notion of continuous mapping and uniformly continuous mapping in standard single-valued neutrosophic metric spaces. To that end, we give a number of properties and characterizations of these notions.

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8

Murad, Murad. "On Ranking Algorithms for SV NT′s and NV NT′s." International Journal of Neutrosophic Science 26, no. 2 (2025): 41–54. https://doi.org/10.54216/ijns.260205.

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Ranking algorithms are very important tools in decision making. There are two ranking algorithms for nvalued neutrosophic tuplets (Single-Valued MultiNeutrosophic tuplets): The S-ranking algorithm of Single- Valued MultiNeutrosophic tuplets, which is introduced by F.Smarandache in 2023, and the N-ranking algorithm of n-valued neutrosophic tuplets, Which is introduced by V. L. Nayagam and Bharanidharan R. in 2023. In this paper we show (by examples) that these two ranking algorithms are not a total ordering for the set of n-valued neutrosophic tuplets. These algorithms do not taking into accoun

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9

Mathew, Ligin P., Lovelymol Sebastian, and Baiju Thankachan. "Some Operations on Trapezoidal Single Valued Neutrosophic Fuzzy Numbers." International Journal of Neutrosophic Science 23, no. 3 (2024): 29–43. http://dx.doi.org/10.54216/ijns.230303.

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Almost all situations that arise in applied mathematics involve uncertainty, inconsistency, and indeterminacy. This can be simultaneously handled by the use of single valued neutrosophic fuzzy sets and single valued neutrosophic fuzzy numbers. In this paper, we propose the operations of addition, subtraction, and scalar multiplication on trapezoidal single valued neutrosophic fuzzy numbers. We introduce some component-wise interval operations on the union of closed bounded intervals. Then we show how this can be used to perform the proposed operations on trapezoidal single valued neutrosophic

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10

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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11

Song, Hongbing, and Yushui Geng. "Some Single-Valued Neutrosophic Uncertain Linguistic Maclaurin Symmetric Mean Operators and Their Application to Multiple-Attribute Decision Making." Symmetry 13, no. 12 (2021): 2322. http://dx.doi.org/10.3390/sym13122322.

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The Maclaurin symmetric mean (MSM) operator has a good aggregation effect. It can capture the relationships between multiple input parameters, and the neutrosophic uncertain linguistic numbers can well represent some indeterminate and incomplete information. In this paper, we combine the MSM operator with the singled-valued neutrosophic uncertain linguistic set and propose some MSM operators based on single-valued neutrosophic uncertain linguistic environment, such as single-valued neutrosophic uncertain linguistic Maclaurin symmetric mean(SVNULMSM) operator and single-valued neutrosophic unce

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12

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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13

Wu, Xiaohui, Jie Qian, Juanjuan Peng, and Changchun Xue. "A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers." Symmetry 10, no. 11 (2018): 590. http://dx.doi.org/10.3390/sym10110590.

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Single valued trapezoidal neutrosophic numbers (SVTNNs) are very useful tools for describing complex information, because of their advantage in describing the information completely, accurately and comprehensively for decision-making problems. In the paper, a method based on SVTNNs is proposed for dealing with multi-criteria group decision-making (MCGDM) problems. Firstly, the new operations SVTNNs are developed for avoiding evaluation information aggregation loss and distortion. Then the possibility degrees and comparison of SVTNNs are proposed from the probability viewpoint for ranking and c

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14

Jana, Chiranjibe, and Madhumangal Pal. "A Robust Single-Valued Neutrosophic Soft Aggregation Operators in Multi-Criteria Decision Making." Symmetry 11, no. 1 (2019): 110. http://dx.doi.org/10.3390/sym11010110.

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Molodtsov originated soft set theory that was provided a general mathematical framework for handling with uncertainties in which we meet the data by affix parameterized factor during the information analysis as differentiated to fuzzy as well as neutrosophic set theory. The main object of this paper is to lay a foundation for providing a new approach of single-valued neutrosophic soft tool which is considering many problems that contain uncertainties. In present study, a new aggregation operators of single-valued neutrosophic soft numbers have so far not yet been applied for ranking of the alt

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15

Ren, Shapu. "Multicriteria Decision-Making Method Under a Single Valued Neutrosophic Environment." International Journal of Intelligent Information Technologies 13, no. 4 (2017): 23–37. http://dx.doi.org/10.4018/ijiit.2017100102.

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A single valued neutrosophic set (SVNS) is a subclass of neutrosophic sets, which generalizes fuzzy sets, interval valued fuzzy set, and intuitionistic fuzzy set. It can be used to easily express incomplete, indeterminate and inconsistent information. This paper introduces the Dice similarity measure of single valued neutrosophic numbers (SVNNs) for ranking SVNNs and a single valued neutrosophic prioritized weighted geometric (SVNPWG) operator for aggregating single valued neutrosophic information. Based on the SVNPWG operator and the Dice similarity measure for SVNNs, a multicriteria decision

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16

Lu, Lin, and Xiaochun Luo. "Emergency Transportation Problem Based on Single-Valued Neutrosophic Set." Discrete Dynamics in Nature and Society 2020 (April 21, 2020): 1–8. http://dx.doi.org/10.1155/2020/4813497.

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Emergency events are full of large number of uncertain information. The existence of these uncertain information leads to less research on emergency logistics involving transshipment scenarios. In this paper, a new emergency transport model is proposed, which simulates the scenario of emergency transport from the logistics center to each disaster site and between each disaster site. The single-valued neutrosophic set (SVNS) is applied to transform the emergency transshipment problem into a multiattribute decision-making problem in ambiguous and uncertain environments. Technology for order pref

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17

Wang, Jie, Jianping Lu, Guiwu Wei, Rui Lin, and Cun Wei. "Models for MADM with Single-Valued Neutrosophic 2-Tuple Linguistic Muirhead Mean Operators." Mathematics 7, no. 5 (2019): 442. http://dx.doi.org/10.3390/math7050442.

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In this article, we expand the Muirhead mean (MM) operator and dual Muirhead mean (DMM) operator with single-valued neutrosophic 2-tuple linguistic numbers (SVN2TLNs) to propose the single-valued neutrosophic 2-tuple linguistic Muirhead mean (SVN2TLMM) operator, the single-valued neutrosophic 2-tuple linguistic weighted Muirhead mean (SVN2TLWMM) operator, the single-valued neutrosophic 2-tuple linguistic dual Muirhead mean (SVN2TLDMM) operator, and the single-valued neutrosophic 2-tuple linguistic weighted dual Muirhead mean (SVN2TLWDMM) operator. Multiple attribute decision making (MADM) meth

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18

Zhao, Shuping, Dong Wang, Liang Changyong, and Wenxing Lu. "Induced Choquet Integral Aggregation Operators with Single-Valued Neutrosophic Uncertain Linguistic Numbers and Their Application in Multiple Attribute Group Decision-Making." Mathematical Problems in Engineering 2019 (February 11, 2019): 1–14. http://dx.doi.org/10.1155/2019/9143624.

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For real decision-making problems, aggregating the attributes which have interactive or correlated characteristics by traditional aggregation operators is unsuitable. Thus, applying Choquet integral operator to approximate and simulate human subjective decision-making process, in which independence among the input arguments is not necessarily assumed, would be suitable. Moreover, using single-valued neutrosophic uncertain linguistic sets (SVNULSs) can express the indeterminate, inconsistent, and incomplete information better than FSs and IFSs. In this paper, we studied the MAGDM problems with

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19

Richard, A. S., and A. Rajkumar. "DE-NEUTROSOPHICATION TECHNIQUE OF SINGLE VALUED LINEAR HEPTAGONAL NEUTROSOPHIC NUMBER." Advances in Mathematics: Scientific Journal 9, no. 10 (2020): 7811–18. http://dx.doi.org/10.37418/amsj.9.10.13.

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20

Stanujkić, Dragiša, Darjan Karabašević, Gabrijela Popović, et al. "A Single-Valued Neutrosophic Extension of the EDAS Method." Axioms 10, no. 4 (2021): 245. http://dx.doi.org/10.3390/axioms10040245.

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This manuscript aims to propose a new extension of the EDAS method, adapted for usage with single-valued neutrosophic numbers. By using single-valued neutrosophic numbers, the EDAS method can be more efficient for solving complex problems whose solution requires assessment and prediction, because truth- and falsity-membership functions can be used for expressing the level of satisfaction and dissatisfaction about an attitude. In addition, the indeterminacy-membership function can be used to point out the reliability of the information given with truth- and falsity-membership functions. Thus, t

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21

Ling, Jie, Mingwei Lin, and Lili Zhang. "Medical waste treatment scheme selection based on single-valued neutrosophic numbers." AIMS Mathematics 6, no. 10 (2021): 10540–64. http://dx.doi.org/10.3934/math.2021612.

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<abstract> <p>With the rapid increase in the number of infected people in COVID-19, medical supplies have been increasing significantly. Medical waste treatment scheme selection may have long-term impacts on the economy, society, and environment. Determining the best treatment option is a considerable challenge. To solve this problem, in this paper, we proposed a multi-criteria group decision making (MCGDM) method based on single-valued neutrosophic numbers and partitioned Maclaurin symmetric mean (PMSM) operator. Because of the complexity of the medical waste treatment scheme sele

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S, Sivasankar, and Said Broumi. "Secure Edge Domination in Neutrosophic Graphs." Journal of Neutrosophic and Fuzzy Systems 3, no. 2 (2022): 08–18. http://dx.doi.org/10.54216/jnfs.030201.

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The concepts of Neutrosophic secure edge domination number and neutrosophic total secure edge domination number in single valued neutrosophic graphs (SVNG) with strong arcs are introduced and analysed in this paper, and some of their properties are studied. The relationship between the neutrosophic secure edge dominance number and its inverse is presented. The concepts inverse neutrosophic total edge domination set and inverse neutrosophic total edge domination number are also defined. Some of these concepts' properties are investigated.

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23

Zhang, Huanying, Fei Wang, and Yushui Geng. "Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Schweizer–Sklar Muirhead Mean Aggregation Operators." Symmetry 11, no. 2 (2019): 152. http://dx.doi.org/10.3390/sym11020152.

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Schweizer–Sklar (SS) operation can make information aggregation more flexible, and the Muirhead mean (MM) operator can take into account the correlation between inputs by a variable parameter. Because traditional MM is only available for real numbers and single-valued neutrosophic set (SVNS) can better express incomplete and uncertain information in decision systems, in this paper, we applied MM operators to single-valued neutrosophic sets (SVNSs) and presented two new MM aggregation operators with the SS operation, i.e., a single-valued neutrosophic SS Muirhead mean (SVNSSMM) operator and a w

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Saraswathi, Saraswathi, Saraswathi A., and Broumi Said. "Lexicographic Approach for Integer Programming Problem under Triangular Neutrosophic Fuzzy Environment and it’s Application." International Journal of Neutrosophic Science 26, no. 1 (2025): 15–32. https://doi.org/10.54216/ijns.260102.

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Linear programming is an effective way in mathematical programming for solving optimization problems with linear objectives and linear constraints. There is determinant and indeterminant information in the actual world. As a result, the indeterminate problem is veritable and must be considered in the optimization problem,To handle this situation the neutrosophic theory is formed from extension of fuzzy set theory and is a helpful tool for dealing with inconsistent, indeterminate, and incomplete information.In this paper, we examine the coefficient of single valued triangular neutrosophic numbe

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Iryna, Shchur, Yu Zhong, Wen Jiang, Xinyang Deng, and Jie Geng. "Single-Valued Neutrosophic Set Correlation Coefficient and Its Application in Fault Diagnosis." Symmetry 12, no. 8 (2020): 1371. http://dx.doi.org/10.3390/sym12081371.

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With the increasing automation of mechanical equipment, fault diagnosis becomes more and more important. However, the factors that cause mechanical failures are becoming more and more complex, and the uncertainty and coupling between the factors are getting higher and higher. In order to solve the given problem, this paper proposes a single-valued neutrosophic set ISVNS algorithm for processing of uncertain and inaccurate information in fault diagnosis, which generates neutrosophic set by triangular fuzzy number and introduces the formula of the improved weighted correlation coefficient. Since

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Jayanth Sastri, M. U., I. Paulraj Jayasimman, and A. Rajkumar. "INDUSTRIAL ROBOTS USING SINGLE VALUED NEUTROSOPHIC FUZZY NUMBERS." Advances in Mathematics: Scientific Journal 9, no. 10 (2020): 7865–69. http://dx.doi.org/10.37418/amsj.9.10.19.

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Abdulkhaleq, Abdulkhaleq. "Applied Linguistics Driven Deceptive Content Recognition using Single Valued Trapezoidal Neutrosophic Number with Natural Language Processing." International Journal of Neutrosophic Science 24, no. 2 (2024): 303–16. http://dx.doi.org/10.54216/ijns.240227.

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Single valued neutrosophic number is a special case of single valued neutrosophic set and are of importance for neutrosophic multi-attribute decision making problem. A single valued neutrosophic number seems to define an ill-known quantity as a generalization of intuitionistic number. Applied linguistics in the context of Natural Language Processing (NLP) comprises the practical applications of linguistic approaches for addressing real time language processing issues. Social media become indispensable components in many people’s lives and have been growing rapidly. In the meantime, social netw

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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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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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30

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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Mehmet, Şahin, Kargın Abdullah, and Smarandache Florentin. "Generalized Single Valued Triangular Neutrosophic Numbers and Aggregation Operators for Application to Multi-attribute Group Decision Making." April 30, 2018. https://doi.org/10.5281/zenodo.1237887.

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In this study we define the generalizing single valued triangular neutrosophic number. In addition, single valued neutrosophic numbers are transformed into single valued triangular neutrosophic numbers according to the values of truth, indeterminacy and falsity.

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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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33

Aparna, V., N. Mohanapriya, and Broumi Said. "Single Valued Neutrosophic R-dynamic Vertex Coloring of Graphs." February 11, 2022. https://doi.org/10.5281/zenodo.6041526.

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In 1998, Smarandache introduced the new theory - Neutrosophic sets. In order to achieve the best results in a current situation, policy makers must contend with uncertainty and unpredictability. The neutrosophic definition aids in the investigation of ambiguous or indeterminate values. Here, we have the amalgamated the theory of Single Valued Neutrosophic Vertex Coloring and r-dynamic coloring to introduce a new thought Single Valued Neutrosophic R-dynamic Vertex Coloring (SVNRVC) and have shown example. Further we have determined the Single Valued Neutrosophic R-dynamic chromatic number χ

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Said, Broumi, Murugappan Mullai, Talea Mohamed, et al. "SINGLE VALUED (2N+1) SIDED POLYGONAL NEUTROSOPHIC NUMBERS AND SINGLE VALUED (2N) SIDED POLYGONAL NEUTROSOPHIC NUMBERS." April 6, 2019. https://doi.org/10.5281/zenodo.2631502.

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This paper introduces a single valued (2n as well as 2n+1) sided polygonal neutrosophic numbers in continuation with other defined single valued neutrosophic numbers. The paper provides basic algebra like addition, subtraction and multiplication of a single valued (2n as well as 2n+1) sided polygonal neutrosophic numbers with examples. In addition, the paper introduces matrix for single valued (2n as well as 2n+1) sided polygonal neutrosophic matrix and its properties.

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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, Bakali Assia, Talea Mohamed, Smarandache Florentin, and Vladareanu Luige. "Computation of Shortest Path Problem in a Network with SV-Trapezoidal Neutrosophic Numbers." December 3, 2016. https://doi.org/10.5281/zenodo.888855.

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In this work, a neutrosophic network method is proposed for finding the shortest path length with single valued trapezoidal neutrosophic number. The proposed algorithm gives the shortest path length using score function from source node to destination node. Here the weights of the edges are considered to be single valued trapezoidal neutrosophic number. Finally, a numerical example is used to illustrate the efficiency of the proposed approach.

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Broumi, Said, Murugappan Mullai, Talea Mohamed, et al. "SINGLE VALUED (2N+1) SIDED POLYGONAL NEUTROSOPHIC NUMBERS AND SINGLE VALUED (2N) SIDED POLYGONAL NEUTROSOPHIC NUMBERS." May 16, 2019. https://doi.org/10.5281/zenodo.2863798.

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This paper introduces a single valued (2n as well as 2n+1) sided polygonal neutrosophic numbers in continuation with other defined single valued neutrosophic numbers. The paper provides basic algebra like addition, subtraction and multiplication of a single valued (2n as well as 2n+1) sided polygonal neutrosophic numbers with examples. In addition, the paper introduces matrix for single valued (2n as well as 2n+1) sided polygonal neutrosophic matrix and its properties.

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Rajesh, Kumar Saini, Sangal Atul, and Manisha. "Application of Single Valued Trapezoidal Neutrosophic Numbers in Transportation Problem." July 28, 2020. https://doi.org/10.5281/zenodo.3965004.

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Abstract: In the present paper, we introduced the concept of single valued trapezoidal neutrosophic number, which is generalization of single valued neutrosophic number. A generalization of crisp, fuzzy and intuitionistic fuzzy sets represents as neutrosophic sets, which have uncertainty, inconsistent, and incompleteness information in real world problem. De-neutrosophication is a process to convert neutrosophic number into a crisp number for practical applications. For unbalanced neutrosophic transportation problem, we also use here minimum row column method and set a compariso

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Pramanik, Surapati, and Rama Mallick. "VIKOR based MAGDM Strategy with Trapezoidal Neutrosophic Numbers." Neutrosophic Sets and Systems 22 (December 10, 2018). https://doi.org/10.5281/zenodo.2160841.

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VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) is a popular strategy for multi- attribute decision making (MADM). We extend the VIKOR strategy for MAGDM problems in trapezoidal neutrosophic number environment. In decision making situation, single-valued trapezoidal neutrosophic numbers are employed to express the attribute values. Then we develop an extended VIKOR strategy to deal with MAGDM in single-valued trapezoidal neutrosophic number environment. The influence of decision-making mechanism coefficient is presented. To illustrate and validate the proposed VIKOR strategy, an i

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Said, Broumi, Bakali Assia, Talea Mohamed, Smarandache Florentin, Uluçay Vakkas, and Sahin Mehmet. "Neutrosophic Sets: An Overview." April 30, 2018. https://doi.org/10.5281/zenodo.1237940.

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In this study, we give some concepts concerning the neutrosophic sets, single valued neutrosophic sets, interval-valued neutrosophic sets, bipolar neutrosophic sets, neutrosophic hesitant fuzzy sets, inter-valued neutrosophic hesitant fuzzy sets, refined neutrosophic sets, bipolar neutrosophic refined sets, multi-valued neutrosophic sets, simplified neutrosophic linguistic sets, neutrosophic over/off/under sets, rough neutrosophic sets, rough bipolar neutrosophic sets, rough neutrosophic hyper-complex set, and their basic operations. Then we introduce triangular neutrosophic numbers, trapezoid

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Tuhin, Bera, and Kumar Mahapatra Nirmal. "Generalised single valued neutrosophic number and its application to neutrosophic linear programming." April 6, 2019. https://doi.org/10.5281/zenodo.2631508.

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In this paper, the concept of single valued neutrosophic number (SV N-number) is presented in a generalized way. Using this notion, a crisp linear programming problem (LP-problem) is extended to a neutrosophic linear programming problem (NLP-problem). The coefficients of the objective function of a crisp LP-problem are considered as generalized single valued neutrosophic number (GSV N-number). This modified form of LP-problem is here called an NLP-problem. An algorithm is developed to solve NLP-problem by simplex method. Finally, this simplex algorithm is applied to a real life problem. The pr

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Hatip, Ahmed. "The Special Neutrosophic Functions." April 15, 2020. https://doi.org/10.5281/zenodo.3824880.

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[1] L. Zadeh, , Fuzzy sets, Inform and Control, 8, pp. 338-353, 1965. [2] K.Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, pp.87-96, 1986 [3] F.Liu, XH.Yuan, Fuzzy number intuitionistic fuzzy set, Fuzzy Syst. Math, 21(1),pp.88–91, 2007. [4] H.Wang, F.Smarandache, YQ. Zhang, R. Sunderraman, Single valued neutrosophic sets. Multispace Multi-struct 4, pp.410–413, 2010. [5] F. Smarandache, Neutrosophy. Neutrosophic Logic, Set , Probability and Statistics. American Research Press, Rehoboth, 1998. International Journal of Neutrosophic Science (IJNS) Vol. 4, No. 2, PP.

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Faruk, Karaaslan, and Karamaz Fatih. "Cauchy Single-Valued Neutrosophic Numbers and Their Applications in MAGDM." October 2, 2022. https://doi.org/10.5281/zenodo.7135434.

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The neutrosophic sets and numbers have an important role in modeling the problems. Recently, studies on neutrosophic numbers and single-valued neutrosophic numbers which is a subclass of neutrosophic numbers have increased, rapidly. Cauchy distribution is an important concept in the statistic. In this paper, the notion of Cauchy single-valued neutrosophic numbers (CSVNNs) and α−cuts are introduced based on the Cauchy distribution formula. Summation, multiplication, and division operations between two CSVNNs are defined and given related examples. Also, the score functions of CSVNNs

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Haitham, A. El-Ghareeb. "Novel Open Source Python Neutrosophic Package." April 6, 2019. https://doi.org/10.5281/zenodo.2631514.

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Neutrosophic sets has gained wide popularity and acceptance in both academia and industry. Different fields have successfully adopted and utilized neutrosophic sets. However, there is no open-source implementation that provides the basic neutrosophic concepts. Open-source is a global movement that enables developers to share their source-code, as researchers do share their research ideas and results. Presented Open-source python neutrosophic package is the first of its kind. It utilizes object oriented concepts. It is based on one of the most popular multiparadigm programming languages that is

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Jun, Ye, and Cui Wenhua. "Operations and Aggregation Methods of Single-Valued Linguistic Neutrosophic Interval Linguistic Numbers and Their Decision Making Method." May 21, 2019. https://doi.org/10.5281/zenodo.3080727.

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To comprehensively describe uncertain/interval linguistic arguments and confident linguistic arguments in the decision making process by a linguistic form, this study first presents the concept of a single-valued linguistic neutrosophic interval linguistic number (SVLN-ILN), which is comprehensively composed of its uncertain/interval linguistic number (determinate linguistic argument part) and its single-valued linguistic neutrosophic number (confident linguistic argument part), and its basic operations.

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Stanujkic, Dragisa, Darjan Karabasevic, Gabrijela Popovic, et al. "A Single Valued Neutrosophic Extension of the Simple WISP Method." Informatica, 2022, 1–17. http://dx.doi.org/10.15388/22-infor483.

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An extension of the Integrated Simple Weighted Sum Product (WISP) method is presented in this article, customized for the application of single-valued neutrosophic numbers. The extension is suggested to take advantage that the application of neutrosophic sets provides in terms of solving complex decision-making problems, as well as decision-making problems associated with assessments, prediction uncertainty, imprecision, and so on. In addition, an adapted questionnaire and appropriate linguistic variables are also proposed in the article to enable a simpler and more precise collection of respo

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Fatina, Masri, Bisher Zeina Mohamed, and Zeitouny Omar. "Some Single Valued Neutrosophic Queueing Systems with Maple Code." January 14, 2023. https://doi.org/10.5281/zenodo.7536023.

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In this paper we introduce for the first time the concept of single valued neutrosophic queueing systems (SVNQSs) as an extension of crisp and fuzzy queueing systems which are very applicable and important in controlling systems. SVNQSs have been defined assuming that arrival rates and departure rates are single valued neutrosophic trapezoidal numbers, and depending on this assumption probabilities and performance measures were also single valued neutrosophic trapezoidal numbers. Numerical examples were presented and solved successfully, and because of hard computations, a maple code is presen

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Jamil, Ahmed. "LR-Type Fully Single-Valued Neutrosophic Linear Programming Problems." October 7, 2021. https://doi.org/10.5281/zenodo.5553548.

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A single-valued neutrosophic set, an generalization of intuitionistic fuzzy set, is a powerful model to deal with uncertainty. In this study we present a method to solve LR-type single-valued neutrosophic linear programming problems by using unrestricted LR-type single-valued neutrosophic numbers. We propose the ranking function to transform LR-type single-valued neutrosophic problems into crisp problems. The arithmetic operations for unrestricted LR-type single-valued neutrosophic numbers are introduced. We propose a method to solve the fully single-valued neutrosophic linear programming prob

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M., Sagaya Bavia, Nagarajan D., Broumi S., Kavikumar J., and A.Rajkumar. "Neutrosophic in Multi-Criteria Decision Making for Location Selection." February 11, 2022. https://doi.org/10.5281/zenodo.6041399.

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Neutrosophic set (NS) theory has a diverse nature in dealing with impreciseness of real life events and has a wider range of applications in logic, algebra, topology, operation research, pattern recognition, artificial intelligence, neural networks and several other fields.In this paper, we combine single valued neutrosophic with we use the score and accuracy function and hybrid score accuracy function of single- valued neutrosophic number and ranking method for single- valued neutrosophic numbers to model logistics center location problem . The combined values of each alternative have been or

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Harish, Garg, and Nancy. "New logarithmic operational laws and their applications to multiattribute decision making for single-valued neutrosophic numbers." May 21, 2019. https://doi.org/10.5281/zenodo.3079660.

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Neutrosophic set, initiated by Smarandache, is a novel tool to deal with vagueness considering the truth, indeterminacy and falsity memberships satisfying the condition that their sum is less than 3. This set can be used to characterize the information more accurately than the intuitionistic fuzzy set. Under this set, the objective of this manuscript is to present some new operational laws called as logarithm operational laws with real number base k for the single-valued neutrosophic (SVN) numbers. Various desirable properties of the proposed operational laws are contemplated. Further, based o

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