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Journal articles on the topic 'Method of neutrosophic factorization'

Author: Grafiati

Published: 5 June 2025

Last updated: 16 July 2025

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1

Ma, Yingcang, Xiaohong Zhang, Xiaofei Yang, and Xin Zhou. "Generalized Neutrosophic Extended Triplet Group." Symmetry 11, no. 3 (2019): 327. http://dx.doi.org/10.3390/sym11030327.

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Neutrosophic extended triplet group is a new algebra structure and is different from the classical group. In this paper, the notion of generalized neutrosophic extended triplet group is proposed and some properties are discussed. In particular, the following conclusions are strictly proved: (1) an algebraic system is a generalized neutrosophic extended triplet group if and only if it is a quasi-completely regular semigroup; (2) an algebraic system is a weak commutative generalized neutrosophic extended triplet group if and only if it is a quasi-Clifford semigroup; (3) for each n ∈ Z + , n ≥ 2

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2

Witczak, T. "Neutrosophic Borda method." International Journal of Neutrosophic Science 19, no. 1 (2022): 242–49. http://dx.doi.org/10.54216/ijns.190119.

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In this paper we introduce and then study the general concept of neutrosophic Borda method. The idea is to combine Borda count (in one of its most typical versions) with neutrosophic sets (which allow us to deal with uncertainty in a very broad sense). We show the whole algorithm which is then illustrated with some numerical examples. Finally, we discuss several possible extensions of the proposed method. For example, we present neutrosophic approach to the problem of weights.

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Dong, Yongsheng, Hongyan Zhang, Zhonghua Liu, et al. "Neutrosophic Set Transformation Matrix Factorization Based Active Contours for Color Texture Segmentation." IEEE Access 7 (2019): 93887–97. http://dx.doi.org/10.1109/access.2019.2928415.

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4

Gonul Bilgin, Nazmiye, Dragan Pamučar, and Muhammad Riaz. "Fermatean Neutrosophic Topological Spaces and an Application of Neutrosophic Kano Method." Symmetry 14, no. 11 (2022): 2442. http://dx.doi.org/10.3390/sym14112442.

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The main objective of this paper is to redefine the concept of Fermatean neutrosophic sets as well as to introduce topological structure on Fermatean neutrosophic sets. The idea of Fermatean neutrosophic sets is the hybrid model of Fermatean fuzzy sets and neutrosophic sets to utilize key features of these structures. Topological data analysis for indeterminate and uncertain information is a rapidly developing field. Motivated by this recent trend, the idea of Fermatean neutrosophic topology is proposed, which is an extension of neutrosophic topology and Fermatean fuzzy topology. Some fundamen

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Binti Rosli, Siti Nur Idara, and Mohammad Izat Emir Bin Zulkifly. "A Neutrosophic Approach for B-Spline Curve by Using Interpolation Method." Neutrosophic Systems with Applications 9 (September 8, 2023): 29–40. http://dx.doi.org/10.61356/j.nswa.2023.43.

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This study introduces a B-spline curve interpolation model based on the neutrosophic set technique. To begin, the neutrosophic notion is used to define the neutrosophic control point relation. After that, the neutrosophic control point is combined with the B-spline basis function. Besides, the neutrosophic B-spline curve interpolation model is illustrated using the interpolation method. Furthermore, an example and the methods are shown for creating the right curve.

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Ye, Jun, and Wenhua Cui. "Neutrosophic state feedback design method for SISO neutrosophic linear systems." Cognitive Systems Research 52 (December 2018): 1056–65. http://dx.doi.org/10.1016/j.cogsys.2018.10.006.

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7

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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Aslam and Albassam. "Inspection Plan Based on the Process Capability Index Using the Neutrosophic Statistical Method." Mathematics 7, no. 7 (2019): 631. http://dx.doi.org/10.3390/math7070631.

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The Process Capability Index (PCI) has been widely used in industry to advance the quality of a product. Neutrosophic statistics is the more generalized form of classical statistics and is applied when the data from the production process or a product lot is incomplete, incredible, and indeterminate. In this paper, we will originally propose a variable sampling plan for the PCI using neutrosophic statistics. The neutrosophic operating function will be given. The neutrosophic plan parameters will be determined using the neutrosophic optimization solution. A comparison between plans based on neu

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.., N. Jose Parvin, S. Ghousia Begum, A. Rajkumar, D. Nagarajan, and Broumi Said. "Nonagonal Neutrosophic Number and its Application in Optimization Technique." International Journal of Neutrosophic Science 19, no. 2 (2022): 66–79. http://dx.doi.org/10.54216/ijns.190206.

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This article discusses Nonagonal Neutrosophic number and m-valued Nonagonal Neutrosophic number. The score function, the accuracy function, hamming distance, normalized hamming distance, Euclidean distance and normalized Euclidean distance of Nonagonal and m-polar Nonagonal Neutrosophic number are derived. Some de-neutrosophication method for Nonagonal Neutrosophic number and some properties of m-valued Nonagonal Neutrosophic number are proved. In this article the optimal path of an acyclic network is estimated using Neutrosophic α-cut grade, Neutrosophic Euclidean grade technique and dynamic

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10

Kong, F. N., and Z. P. Li. "Kernel-factorization deconvolution method." IEEE Transactions on Acoustics, Speech, and Signal Processing 38, no. 1 (1990): 166–68. http://dx.doi.org/10.1109/29.45632.

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11

Khan, Majid, Muhammad Gulistan, Naveed Yaqoob, Madad Khan, and Florentin Smarandache. "Neutrosophic Cubic Einstein Geometric Aggregation Operators with Application to Multi-Criteria Decision Making Method." Symmetry 11, no. 2 (2019): 247. http://dx.doi.org/10.3390/sym11020247.

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Neutrosophic cubic sets (NCs) are amore generalized version of neutrosophic sets(Ns) and interval neutrosophic sets (INs). Neutrosophic cubic setsare better placed to express consistent, indeterminate and inconsistent information, which provides a better platform to deal with incomplete, inconsistent and vague data. Aggregation operators play a key role in daily life, and in relation to science and engineering problems. In this paper we defined the algebraic and Einstein sum, multiplication and scalar multiplication, score and accuracy functions. Using these operations we defined geometric agg

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12

Kawther, Kawther. "Study Some Methods To Measure The Reliability System Neutrosophically." International Journal of Neutrosophic Science 24, no. 2 (2024): 68–79. http://dx.doi.org/10.54216/ijns.240207.

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Industry has developed greatly nowadays, and it has been accompanied by great complexity in machines and devices. Researches that seeks to obtain high efficiencies for these machines have emerged , such as reliability theory. Due to the verity and complexity of the machines, we resort to using the neutrosophic reliability that includes cases excluded from classical reliability. The aim of this paper is to define the neutrosophic parallel system and study neutrosophic methods of calculating the neutrosophic reliability, where the basic concept neutrosophic adjacency matrix of system are present

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13

Dhatchinamoorthy, Vinoth, and Ezhilmaran Devarasan. "An Analysis of Global and Adaptive Thresholding for Biometric Images Based on Neutrosophic Overset and Underset Approaches." Symmetry 15, no. 5 (2023): 1102. http://dx.doi.org/10.3390/sym15051102.

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The study introduces a new threshold method based on a neutrosophic set. The proposal applies the neutrosophic overset and underset concepts for thresholding the image. The global threshold method and the adaptive threshold method were used as the two types of thresholding methods in this article. Images could be symmetrical or asymmetrical in professional disciplines; the government maintains facial image databases as symmetrical. General-purpose images do not need to be symmetrical. Therefore, it is essential to know how thresholding functions in both scenarios. Since the article focuses on

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14

Aydin, Serhat. "Augmented reality goggles selection by using neutrosophic MULTIMOORA method." Journal of Enterprise Information Management 31, no. 4 (2018): 565–76. http://dx.doi.org/10.1108/jeim-01-2018-0023.

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PurposeThe purpose of this paper is to present the augmented reality (AR) eyeglass selection problem based on Neutrosophic MULTIMOORA method which is a very new multi-objective method.Design/methodology/approachThe author evaluates five AR goggles according to six different criteria. Criteria have different weights and determined by analytic hierarchy process. The author used neutrosophic MULTIMOORA method in order to evaluate AR eyeglasses.FindingsFive different AR eyeglasses were evaluated and the best one was selected according to six different criteria (benefit and non-benefit). According

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15

Aslam, Muhammad, Nasrullah Khan, and Muhammad Khan. "Monitoring the Variability in the Process Using Neutrosophic Statistical Interval Method." Symmetry 10, no. 11 (2018): 562. http://dx.doi.org/10.3390/sym10110562.

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Existing variance control charts are designed under the assumptions that no uncertain, fuzzy and imprecise observations or parameters are in the population or the sample. Neutrosophic statistics, which is the extension of classical statistics, has been widely used when there is uncertainty in the data. In this paper, we will originally design S 2 control chart under the neutrosophic interval methods. The complete structure of the neutrosophic S 2 control chart will be given. The necessary measures of neutrosophic S 2 will be given. The neutrosophic coefficient of S 2 control chart will be dete

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16

Kharal, Athar. "A Neutrosophic Multi-Criteria Decision Making Method." New Mathematics and Natural Computation 10, no. 02 (2014): 143–62. http://dx.doi.org/10.1142/s1793005714500070.

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This work presents a method of multi-criteria decision making (MCDM) using neutrosophic sets. Besides studying some interesting mathematical properties of the method, algorithm viz neut-MCDM is presented. The work also furnishes the fundamentals of neutrosophic set theory succinctly, to provide a first introduction of neutrosophic sets for the MCDM community. To illustrate the computational details, neut-MCDM has been applied to the problem of university faculty selection against a given set of criteria.

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17

Aslam, Muhammad. "A Variable Acceptance Sampling Plan under Neutrosophic Statistical Interval Method." Symmetry 11, no. 1 (2019): 114. http://dx.doi.org/10.3390/sym11010114.

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The acceptance sampling plan plays an important role in maintaining the high quality of a product. The variable control chart, using classical statistics, helps in making acceptance or rejection decisions about the submitted lot of the product. Furthermore, the sampling plan, using classical statistics, assumes the complete or determinate information available about a lot of product. However, in some situations, data may be ambiguous, vague, imprecise, and incomplete or indeterminate. In this case, the use of neutrosophic statistics can be applied to guide the experimenters. In this paper, we

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18

Ye, Jun. "Multiple-Attribute Group Decision-Making Method under a Neutrosophic Number Environment." Journal of Intelligent Systems 25, no. 3 (2016): 377–86. http://dx.doi.org/10.1515/jisys-2014-0149.

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AbstractAs a neutrosophic number, which consists of a determinate part and an indeterminate part, can more easily and better express incomplete and indeterminate information that exists commonly in real situations, the main purposes of this paper are to provide a neutrosophic number tool for group decision-making problems with indeterminate information under a neutrosophic number environment and to develop a de-neutrosophication method and a possibility degree ranking method for neutrosophic numbers from the probability viewpoint as a methodological support for group decision-making problems.

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19

Areen, Areen, Belal Batiha, Areen Al Al-khateeb, Hamzeh .., Abedallah Al .., and Khaldoun Batiha. "Possibility Fermatean Neutrosophic Soft Set." International Journal of Neutrosophic Science 24, no. 4 (2024): 105–25. http://dx.doi.org/10.54216/ijns.240408.

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In this paper, we introduce the concept of Possibility Fermatean Neutrosophic Soft Set and define some related concepts such as Possibility Fermatean Neutrosophic Soft subset, Possibility Fermatean Neutrosophic Soft null set, and Possibility Fermatean Neutrosophic Soft universal set. Then, we define set-theoretical operations of Possibility Fermatean Neutrosophic Soft Sets such as union, intersection, and complement, and investigate some properties of these operations. We also introduce AND-product and OR-product operations between two Possibility Fermatean Neutrosophic Soft Sets. We propose a

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20

Fahmi, Aliya, Muhammad Aslam, and Saleem Abdullah. "Analysis of migraine in mutlicellular organism based on trapezoidal neutrosophic cubic hesitant fuzzy TOPSIS method." International Journal of Biomathematics 12, no. 08 (2019): 1950084. http://dx.doi.org/10.1142/s1793524519500840.

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In this paper, we define a new idea of trapezoidal neutrosophic cubic hesitant fuzzy number based on migraine diseases. We define and the migraine diseases on trapezoidal neutrosophic cubic hesitant fuzzy number and operational laws of trapezoidal neutrosophic cubic hesitant fuzzy number and hamming distance of TrNCHFNs. The new concept of trapezoidal neutrosophic cubic hesitant fuzzy TOPSIS method is introduced. Furthermore, we extend MCDM method based on the trapezoidal neutrosophic cubic hesitant fuzzy TOPSIS method. Finally, an illustrative example is given to verify and demonstrate the pr

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21

Rabih, Mohammed Nour A. "Solution of neutrosophic fractional differential equations by neutrosophic extension principal method." Edelweiss Applied Science and Technology 9, no. 5 (2025): 1393–405. https://doi.org/10.55214/25768484.v9i5.7172.

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This paper aims at a new approach for finding the solution of neutrosophic fuzzy fractional differential equations (NFFDEs) based on the Zadeh’s Extension Principle method. NFFDEs combine fractional-order systems with uncertainty, which deals with truth, indeterminacy, and falsity information. This approach competently addresses the challenges modeled by both the fractional derivatives and the indeterminate constructions characteristic of neutrosophic systems. The paper frames the theoretical framework, advances the solution process, and validates the usefulness of the method. Theoretical and

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22

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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23

Freericks, James K., and Wesley N. Mathews. "Continuum Energy Eigenstates via the Factorization Method." Symmetry 15, no. 4 (2023): 797. http://dx.doi.org/10.3390/sym15040797.

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The factorization method was introduced by Schrödinger in 1940. Its use in bound-state problems is widely known, including in supersymmetric quantum mechanics; one can create a factorization chain, which simultaneously solves a sequence of auxiliary Hamiltonians that share common eigenvalues with their adjacent Hamiltonians in the chain, except for the lowest eigenvalue. In this work, we generalize the factorization method to continuum energy eigenstates. Here, one does not generically have a factorization chain—instead all energies are solved using a “single-shot factorization”, enabled by wr

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24

Logasoundarya, S. T., and S. Vimala. "To Analyse Energy of the Electric Circuit by Using Neutrosophic Labelling." Indian Journal Of Science And Technology 17, no. 39 (2024): 4030–37. http://dx.doi.org/10.17485/ijst/v17i39.2240.

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Objectives: Neutrosophic labeling was used in electric circuits for evaluating energy. Methods: Defuzzification method, was applied to the neutrosophic labeling circuit graph which produces crisp values. Findings: The energy of the electric circuit is equal to the energy of the neutrosophic applied electric circuit. Novelty : Neutrosophic Fuzzy Labeling values are converted into crisp values using Defuzzification Graded Mean Integration Method. Keywords: Labeling, Neutrosophic Labeling, Electric circuit, Kirchhoff law, Energy

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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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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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Jiang, Wen, Zihan Zhang, and Xinyang Deng. "Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set." Symmetry 11, no. 2 (2019): 267. http://dx.doi.org/10.3390/sym11020267.

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Multi-attribute decision-making refers to the decision-making problem of selecting the optimal alternative or sorting the scheme when considering multiple attributes, which is widely used in engineering design, economy, management and military, etc. But in real application, the attribute information of many objects is often inaccurate or uncertain, so it is very important for us to find a useful and efficient method to solve the problem. Neutrosophic set is proposed from philosophical point of view to handle inaccurate information efficiently, and a single-valued neutrosophic set (SVNS) is a s

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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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L, Abraham D. Egan, B. .., Rajkumar A., and Broumi said. "Selection of Agricultural Aircraft in Bipolar Neutrosophic Environment using Bipolar - TOPSIS method." International Journal of Neutrosophic Science 22, no. 3 (2023): 15–35. http://dx.doi.org/10.54216/ijns.220302.

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The neutrosophic set has numerous uses in a variety of industries. There are more advantages to use the Bipolar Neutrosophic set than other sets for elucidating a multi-criteria decision-making problem. The bipolar-neutrosophic set addresses both the positive and negative facets of the issue, improving the probability of a successful resolution. By implementing the removal area method, the de-bipolarization of the bipolar neutrosophic number with eleven parameters is formulated. The proposed Neutrosophic number is used to solve the selection of agricultural aircraft using given criteria and th

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Gulistan, Muhammad, Mutaz Mohammad, Faruk Karaaslan, Seifedine Kadry, Salma Khan, and Hafiz Abdul Wahab. "Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions." International Journal of Distributed Sensor Networks 15, no. 9 (2019): 155014771987761. http://dx.doi.org/10.1177/1550147719877613.

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This article introduces the concept of Heronian mean operators, geometric Heronian mean operators, neutrosophic cubic number–improved generalized weighted Heronian mean operators, neutrosophic cubic number–improved generalized weighted geometric Heronian mean operators. These operators actually generalize the operators of fuzzy sets, cubic sets, and neutrosophic sets. We investigate the average weighted operator on neutrosophic cubic sets and weighted geometric operator on neutrosophic cubic sets to aggregate the neutrosophic cubic information. After this, based on average weighted and geometr

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NSS. "The limits of 2- refined neutrosophic." June 3, 2024. https://doi.org/10.5281/zenodo.11435476.

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 this paper aims to present the limits of 2- refined neutrosophic, where we studied the of the neutrosophic factorization method and the neutrosophic rationalization method of the limits of 2- refined neutrosophic, we verified the results of these methods using the L'Hôpital's rule. Also We introduced some special limits and 2- refined neutrosophic trigonometric limits. In addition to clarifying this by solving appropriate numerical examples.

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Yaser, Ahmad Alhasan, and Ahmed Musa Iqbal. "The Neutrosophic Limits." January 14, 2023. https://doi.org/10.5281/zenodo.7536051.

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: the purpose of this article is to study the neutrosophic limits, where the methods of neutrosophic factorization and neutrosophic rationalization were applied, useful theorems have been proven for facilitating the calculation of the neutrosophic limits. Also, the definition of a positive neutrosophic number was presented, and the necessary condition to find the square root of the neutrosophic number, in addition to studying some special limits and neutrosophic trigonometric limits. Where detailed examples were given to clarify each case.

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Agboola, A.A.A., A.D. Akinola, and O.Y. Oyebola. "Neutrosophic Rings I." August 9, 2011. https://doi.org/10.5281/zenodo.9349.

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In this paper, we present some elementary properties of neutrosophic rings. The structure of neutrosophic polynomial rings is also presented. We provide answers to the questions raised by Vasantha Kandasamy and Florentin Smarandache in [1] concerning principal ideals, prime ideals, factorization and Unique Factorization Domain in neutrosophic polynomial rings.

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Muhammad, Kashif, Nida Hafiza, Imran Khan Muhammad, and Aslam Muhammad. "Decomposition of Matrix under Neutrosophic Environment." December 10, 2019. https://doi.org/10.5281/zenodo.3569677.

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Matrices help for the effective representation of systems of linear equations and analyzing any sort of data. The decomposition of any matrix allows for the efficient implementation of matrix-based algorithms. Spectral decomposition is one of the approaches commonly used for square symmetric matrices in order to spell out variation for each of the involved components. The Neutrosophic environment is based on square symmetric matrices and likely to call Spectral decomposition.   Neutrosophic is the branch of philosophy<strong> </strong>that deals with nature, the scope of neutralities

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Boatto, Alessandro. "Fast Factorization Method." SSRN Electronic Journal, 2017. http://dx.doi.org/10.2139/ssrn.3046053.

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Surapati, Pramanik, Dalapati Shyamal, Alam Shariful, Kumar Roy Tapan, and Smarandache F. "Neutrosophic Cubic MCGDM Method Based on Similarity Measure." June 19, 2017. https://doi.org/10.5281/zenodo.831935.

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The notion of neutrosophic cubic set is originated from the hybridization of the concept of neutrosophic set and interval valued neutrosophic set. We define similarity measure for neutrosophic cubic sets and prove some of its basic properties. We present a new multi criteria group decision making method with linguistic variables in neutrosophic cubic set environment. Finally, we present a numerical example to demonstrate the usefulness and applicability of the proposed method.

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Jun, Ye. "Multiple attribute decision-making method under hesitant interval neutrosophic linguistic environment." December 6, 2013. https://doi.org/10.5281/zenodo.34858.

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Motivated by the ideas of interval neutrosophic linguistic sets (INLSs) and hesitant fuzzy sets (HFSs), this paper proposes the concept of hesitant interval neutrosophic linguistic sets (HINLSs) and defines the operational laws of hesitant interval neutrosophic linguistic elements (HINLEs) and the score, accuracy and certainty functions for HINLEs. Then, a hesitant interval neutrosophic linguistic weighted average (HINLWA) operator and a hesitant interval neutrosophic linguistic weighted geometric (HINLWG) operator are developed to aggregate the hesitant interval neutrosophic linguistic inform

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Faruk, Karaaslan. "Possibility neutrosophic soft sets and PNS-decision making method." May 22, 2019. https://doi.org/10.5281/zenodo.3129396.

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In this paper, we introduce concept of possibility neutrosophic soft set and define some related conceptssuch as possibility neutrosophic soft subset, possibility neutrosophic soft null set, and possibility neutro-sophic soft universal set. Then, based on definitions of n-norm and n-conorm, we define set theoreticaloperations of possibility neutrosophic soft sets such as union, intersection and complement, and inves-tigate some properties of these operations. We also introduce AND-product and OR-product operations between two possibility neutrosophic soft sets. We propose a decision making met

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Faruk, Karaaslan. "Possibility neutrosophic soft sets and PNS-decision making method." October 1, 2017. https://doi.org/10.5281/zenodo.1041647.

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In this paper, we introduce concept of possibility neutrosophic soft set and define some related conceptssuch as possibility neutrosophic soft subset, possibility neutrosophic soft null set, and possibility neutro-sophic soft universal set.

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Jun, Ye. "Linguistic Neutrosophic Cubic Numbers and Their Multiple Attribute Decision-Making Method." September 8, 2017. https://doi.org/10.5281/zenodo.1041564.

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To describe both certain linguistic neutrosophic information and uncertain linguistic neutrosophic information simultaneously in the real world, this paper originally proposes the concept of a linguistic neutrosophic cubic number (LNCN), including an internal LNCN and external LNCN. In LNCN, its uncertain linguistic neutrosophic number consists of the truth, indeterminacy, and falsity uncertain linguistic variables, and its linguistic neutrosophic number consists of the truth, indeterminacy, and falsity linguistic variables to express their hybrid information.

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Jun, Ye, and Cui Wenhua. "Neutrosophic state feedback design method for SISO neutrosophic linear systems." May 21, 2019. https://doi.org/10.5281/zenodo.3078756.

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The indeterminacy of parameters in actual control systems is inherent property because some parameters in actual control systems are changeable rather than constants in some cases, such as manufacturing tolerances, aging of main components, and environmental changes, which present an uncertain threat to actual control systems.

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42

Ather, Ashraf, and Arif Butt Muhammad. "Extension of TOPSIS Method under Single-Valued Neutrosophic N-Soft Environment." March 21, 2021. https://doi.org/10.5281/zenodo.4625747.

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  In this paper, we discuss aggregation operators for single-valued neutrosophic <em>N</em>-soft numbers. Further, we develop singlevalued neutrosophic <em>N</em>-soft TOPSIS method based on single-valued neutrosophic <em>N</em>-soft aggregate operators in order to cumulate the decisions of all experts according to the worth of experts’ opinion and parameters related to each alternative. For the final decision, we use revised closeness index depending upon the distance measures of alternatives from single-valued neutrosophic <em>N</em>-soft positive ideal solution and single-valued

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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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I., M. Hanafy, A. Salama A., and A. Salama A. "Correlation Coefficients of Neutrosophic Sets by Centroid Method." September 17, 2015. https://doi.org/10.5281/zenodo.32249.

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In this paper, we propose another method to calculate the correlation coefficient of neutrosophic sets. The value which obtained from this method tells us the strength of relationship between the neutrosophic sets and the whether the neutrosophic sets are positively or negatively related. Finally we g ive some proposition and examples.

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Majid, Khan, Gulistan Muhammad, Yaqoob Naveed, Khan Madad, and Smarandache Florentin. "Neutrosophic Cubic Einstein Geometric Aggregation Operators with Application to Multi-Criteria Decision Making Method." May 16, 2019. https://doi.org/10.5281/zenodo.2861904.

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Neutrosophic cubic sets (NCs) are amore generalized version of neutrosophic sets(Ns) and interval neutrosophic sets (INs). Neutrosophic cubic setsare better placed to express consistent, indeterminate and inconsistent information, which provides a better platform to deal with incomplete, inconsistent and vague data.

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Jiang, Wenzhong, and Jun Ye. "Optimal Design of Truss Structures Using a Neutrosophic Number Optimization Model under an Indeterminate Environment." Neutrosophic Sets and Systems 14, 2016 (December 15, 2016). https://doi.org/10.5281/zenodo.570888.

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This paper defines basic operations of neutrosophic numbers and neutrosophic number functions for objective functions and constraints in optimization models. Then, we propose a general neutrosophic number optimization model for the optimal design of truss structures. The application and effectiveness of the neutrosophic number optimization method are demonstrated through the design example of a two-bar truss structure under indeterminate environment to achieve the minimum weight objective under stress and stability constraints. The comparison of the neutrosophic number optimal design method wi

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Angyan, Tu, Ye Jun, and Wang Bing. "Multiple Attribute Decision-Making Method Using Similarity Measures of Neutrosophic Cubic Sets." June 12, 2018. https://doi.org/10.5281/zenodo.1413144.

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In inconsistent and indeterminate settings, as a usual tool, the neutrosophic cubic set (NCS) containing single-valued neutrosophic numbers and interval neutrosophic numbers can be applied in decision-making to present its partial indeterminate and partial determinate information. However, a few researchers have studied neutrosophic cubic decision-making problems, where the similarity measure of NCSs is one of the useful measure methods.

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Muhammad, Aslam. "A Variable Acceptance Sampling Plan under Neutrosophic Statistical Interval Method." May 21, 2019. https://doi.org/10.5281/zenodo.3070787.

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The acceptance sampling plan plays an important role in maintaining the high quality of a product. The variable control chart, using classical statistics, helps in making acceptance or rejection decisions about the submitted lot of the product. Furthermore, the sampling plan, using classical statistics, assumes the complete or determinate information available about a lot of product. However, in some situations, data may be ambiguous, vague, imprecise, and incomplete or indeterminate. In this case, the use of neutrosophic statistics can be applied to guide the experimenters. In this paper, we

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Min Yang, Tan, Nurisya Mohd Shah, and Hishamuddin Zainuddin. "On the Green Factorization Method and Supersymmetry." Physica Scripta, December 19, 2022. http://dx.doi.org/10.1088/1402-4896/acacd0.

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Abstract The factorization method in operator language formalism and supersymmetric quantum mechanics are vastly studied in literature. The well-known factorization method goes to the early work by Infeld and Hull in 1951. However, a different formalism of factorization method introduced by Green in 1965 is less being considered by the researchers. We show that the Green factorization method, also known as the deductive method, has a connection with supersymmetric quantum mechanics. Some anharmonic quantum systems are discussed by obtaining their analytical expressions for the complete spectru

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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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