Academic literature on the topic 'Neutrosophic matrix'

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Journal articles on the topic "Neutrosophic matrix"

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Sophia Porchelvi, R., and V. Jayapriya. "Determinant of a Fuzzy Neutrosophic Matrix." International Journal of Scientific Engineering and Research 7, no. 5 (2019): 54–57. https://doi.org/10.70729/ijser18806.

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S. Sathyapriya. "Cubic Spherical Neutrosophic Geometric Weighted Bonferroni Mean Operator for Selecting a Machine using MCDM Techniques." Advances in Nonlinear Variational Inequalities 28, no. 2s (2024): 118–36. https://doi.org/10.52783/anvi.v28.2523.

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Neutrosophic cubic fuzzy sets (NCFSs) involve interval-valued and single-valued neutrosophic sets and are used to describe uncertainty or fuzziness more efficiently. The aggregation of neutrosopic cubic fuzzy information is crucial and necessary in a decision-making theory. To get a better solution to decision-making problems under a neutrosophic cubic fuzzy environment. The main objective of this study propose the Cubic Spherical Neutrosophic Geometric Bonferroni Mean Operator (CSNGBM) and the Cubic Spherical Neutrosophic Geometric Weighted Bonferroni Mean Operator (CSNGWBM) to find the best
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Jayasudha, J., and S. Raghavi. "Futher Operations on Neutrosophic Hypersoft Matrices and Application in Decision Making." HyperSoft Set Methods in Engineering 2 (October 28, 2024): 119–35. http://dx.doi.org/10.61356/j.hsse.2024.2403.

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The main objective of this paper is to extend the concept of Neutrosophic Hypersoft Matrix theory. Neutrosophic soft matrix parametrically evaluates the attributes chosen whereas Neutrosophic hypersoft matrix can parametrically evaluate the sub-attributes of the attributes chosen. Some notions and operations related to Neutrosophic Hypersoft matrices (NHSMs) such as Row-NHSM, Column-NHSM, Diagonal-NHSM, Proper-NHS submatrix, Disjoint NHSM, Extended union (NHSM), Extended intersection (NHSM), addition, subtraction, AND-product and OR-product on NHSM have been introduced with examples. Further a
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Jeni Seles Martina, D., and G. Deepa. "Some algebraic properties on rough neutrosophic matrix and its application to multi-criteria decision-making." AIMS Mathematics 8, no. 10 (2023): 24132–52. http://dx.doi.org/10.3934/math.20231230.

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<abstract><p>Rough set theory is a method of information processing for database systems. The neutrosophic matrix is a generalization of the fuzzy matrix, especially in handling indeterminacy situations. The concept of matrix theory and its energy in the neutrosophic environment help to determine the value of the uncertain matrix. In this paper, we correlate the rough set theory with the neutrosophic matrix theory to introduce the rough neutrosophic matrix (RNM). In this structure, lower and upper approximation neutrosophic matrices are used to deal with uncertain situations. We de
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Çevik, Ahmet, Selçuk Topal, and Florentin Smarandache. "Neutrosophic Logic Based Quantum Computing." Symmetry 10, no. 11 (2018): 656. http://dx.doi.org/10.3390/sym10110656.

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We introduce refined concepts for neutrosophic quantum computing such as neutrosophic quantum states and transformation gates, neutrosophic Hadamard matrix, coherent and decoherent superposition states, entanglement and measurement notions based on neutrosophic quantum states. We also give some observations using these principles. We present a number of quantum computational matrix transformations based on neutrosophic logic and clarify quantum mechanical notions relying on neutrosophic states. The paper is intended to extend the work of Smarandache by introducing a mathematical framework for
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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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Dhar, Mamoni. "On K-idempotent Neutrosophic Fuzzy Matrices." Plithogenic Logic and Computation 2 (October 19, 2024): 95–106. http://dx.doi.org/10.61356/j.plc.2024.2406.

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The main intention of this paper is to introduce and study the concepts of idempotent neutrosophic fuzzy matrices and k-idempotent neutrosophic fuzzy matrices. Here the concepts of idempotent neutrosophic fuzzy matrices and k-idempotent neutrosophic fuzzy matrices are discussed in details as a generalization of idempotent fuzzy matrix and k-idempotent fuzzy matrix.
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P.Sheeba Maybell and S.Indhumathi. "Fuzzy Quadripartitioned Neutrosophic Matrices in Strategy Finding." International Research Journal on Advanced Engineering and Management (IRJAEM) 2, no. 11 (2024): 3405–10. http://dx.doi.org/10.47392/irjaem.2024.0501.

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Researchers have primarily proposed fuzzy oriented matrix theories have to model uncertainty for real-world decision- making (DM). Fuzzy neutrosophic soft matrix (FNSM) theory has been developed recently by combining the fuzzy neutrosophic set and soft set to handle the indeterminate information parametrically. The concept of fuzzy Quadripartitioned neutrosophic soft matrices are discussed. Some properties of trace, Determinant of a Fuzzy Quadripartitioned Neutrosophic Soft Matrix with some examples were discussed. An application of FQNSMS for Dimensionality reduction in data mining were discu
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Jayaprakash, Poornima, and Sandhiya Sundar. "Neutrosophic soft set matrix and their applications based on multi criteria decision-making problems." Multidisciplinary Science Journal 6 (December 15, 2023): 2024ss0110. http://dx.doi.org/10.31893/multiscience.2024ss0110.

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Importance of decision-making problems in uncertain environments cannot be overstated. Soft set theory and neutrosophic soft set theory are advanced mathematical techniques that have recently been developed to better handle these uncertain, incomplete, and inconsistent data sets. The concepts of neutrosophic soft set, neutrosophic soft matrix, and its operations are presented in this work. To compare the neutrosophic soft sets, we also provide score, certainty, and accuracy functions. Afterward, we create the neutrosophic arithmetic operator (NA), neutrosophic weighted arithmetic operator neut
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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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Book chapters on the topic "Neutrosophic matrix"

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Pal, Madhumangal. "Neutrosophic Matrix and Neutrosophic Fuzzy Matrix." In Recent Developments of Fuzzy Matrix Theory and Applications. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-56936-4_10.

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Karaaslan, Faruk, Khizar Hayat, and Chiranjibe Jana. "The Determinant and Adjoint of an Interval-Valued Neutrosophic Matrix." In Neutrosophic Operational Research. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57197-9_7.

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Deli, Irfan. "Matrix Games with Simplified Neutrosophic Payoffs." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_10.

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Boobalan, J., and Afrine N. S. Shiny. "Monoid of Neutrosophic Fuzzy Soft Matrix." In Advances in Mathematical Modelling, Applied Analysis and Computation. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-56304-1_18.

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Saqlain, Muhammad, Muhammad Saeed, Rana Muhammad Zulqarnain, and Sana Moin. "Neutrosophic Hypersoft Matrix Theory: Its Definition, Operators, and Application in Decision-Making of Personnel Selection Problem." In Neutrosophic Operational Research. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57197-9_21.

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Bathusha, Suber, Sowndharya Jayakumar, and S. Angelin Kavitha Raj. "A Novel on Virtual Social Network Analysis Utilising Interval-Valued Complex Neutrosophic Graph Structures." In Advances in Systems Analysis, Software Engineering, and High Performance Computing. IGI Global, 2024. http://dx.doi.org/10.4018/979-8-3693-2085-3.ch005.

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The interval-valued complex neutrosophic set (IVCNS), an expansion of the interval-valued neutrosophic set (IVNS), provides a more precisecharacterisation of uncertainty than traditional fuzzy sets. Fuzzy control can use it in a variety of ways. In this research study, the authors also introduce the adjacency matrix IVCNGS notion as well as the idea of an isomorphic adjacency matrix. They also introduce interval-valued complex neutrosophic graph structures (IVCNGS). They use an example to investigate a number of IVCNGS adjacency matrix properties. In addition, they introduce the ideas of edge
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Vijayabalaji, Srinivasan, Natesan Thillaigovindan, Ranganathan Rajasekaran, and Kopikrishnan Sathiyaraj. "Neutrosophic Soft-Rough Matrices." In Advances in Computer and Electrical Engineering. IGI Global, 2024. https://doi.org/10.4018/979-8-3693-6875-6.ch008.

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This work investigates the formation of neutrosophic soft-rough matrices, building on the principles of soft-rough matrix theory. Drawing from the concepts of neutrosophic markov chains and transition matrices, we introduce novel ideas in the form of Neutrosophic soft transition matrices and Neutrosophic soft-rough transition matrices. In this research, we provide a comprehensive overview of these new matrices, detailing their properties and potential applications. By presenting several examples, we illustrate how Neutrosophic soft transition matrices and Neutrosophic soft-rough transition mat
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Debnath, Somen. "Neutrosophic Fuzzy Soft Matrix Theory and Its Application in Group Decision Making." In Handbook of Research on Advances and Applications of Fuzzy Sets and Logic. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-7979-4.ch033.

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In 2020, Sujit et al. introduced the notion of the neutrosophic fuzzy set (NFS) to deal with uncertainty under a fuzzy environment where the fuzzy membership grade of every element of the field of the domain is associated with three independent neutrosophic components, namely truth, indeterminacy, and falsity membership grade. The main focus of the chapter is to introduce a neutrosophic fuzzy soft set (NFSS) to deal with uncertainty parametrically, and it gives the approximate solution to the problem. NFSS is a mixture of a neutrosophic set, fuzzy sets, and soft sets. So, it can be treated as
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Karadayi-Usta, Saliha. "The Role of the Paper Packaging Industry in the Circular Economy." In Handbook of Research on Advances and Applications of Fuzzy Sets and Logic. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-7979-4.ch027.

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The circular economy movement has paved the way for the sustainable supply chains with its nature-friendly structure via recycling and repeated use of products. Hence, this study aims to determine the factors affecting the paper packaging industry in the circular economy in order to provide a conceptual model of the cause-and-effect relationships through neutrosophic cognitive mapping. Paper packaging machinery manufacturer Windmöller & Hölscher's representatives have been in-depth interviewed to gather their opinions. Since there are some relations that cannot be determined (i.e., existen
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Khalid, Huda E. "Geometric Programming Dealing With Neutrosophic Relational Equations Under the (Max-Min) Operation." In Neutrosophic Sets in Decision Analysis and Operations Research. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-2555-5.ch004.

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The neutrosophic relation equations are important elements of neutrosophic mathematics, and it can be widely applied in power systems, neutrosophic comprehensive evaluation. The aim of this chapter is to find the minimal solutions for the neutrosophic relation geometric programming having (V, Λ) operator. In this chapter, a max-min method has been built for finding an optimal solution in the neutrosophic relation equations, and a new characteristic matrix has been defined which is an important step to test the consistency of the system Aοx=b and for finding all effective paths that lead to the
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Conference papers on the topic "Neutrosophic matrix"

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Lalitha, K., S. Sarguna, and T. Muthuraji. "Application of Neutrosophic matrix in document retrieval systems." In 2023 Third International Conference on Advances in Electrical, Computing, Communication and Sustainable Technologies (ICAECT). IEEE, 2023. http://dx.doi.org/10.1109/icaect57570.2023.10118146.

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Lalitha, K., and S. Sarguna. "A New CODAS-SORT Method On Neutrosophic Soft Matrix." In 2023 First International Conference on Advances in Electrical, Electronics and Computational Intelligence (ICAEECI). IEEE, 2023. http://dx.doi.org/10.1109/icaeeci58247.2023.10370855.

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Mourtas, Spyridon D. "A Neutrosophic Adaptive Recurrent Neural Network for Time-Varying Matrix Inversion." In International Workshop “Hybrid methods of modeling and optimization in complex systems”. European Publisher, 2023. http://dx.doi.org/10.15405/epct.23021.30.

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Kavitha, M., and P. Murugadas. "Convergence of the power sequence of a monotone increasing neutrosophic soft matrix." In INTERNATIONAL CONFERENCE ON RECENT TRENDS IN APPLIED MATHEMATICAL SCIENCES (ICRTAMS-2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0063408.

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J, Boobalan, and Afrine N. S. Shiny. "Application of Fuzzy Neutrosophic Soft Matrix on Issues and Experiences of COVID-19." In 2024 International Conference on Advances in Modern Age Technologies for Health and Engineering Science (AMATHE). IEEE, 2024. http://dx.doi.org/10.1109/amathe61652.2024.10582148.

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Gandhi, N. Ramila, P. Pandiammal, and Nivetha Martin. "Lingual neutrosophic soft matrix in optimal decision on advertising mediums and global reach of products." In RECENT TRENDS IN SCIENCE AND ENGINEERING. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0074104.

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