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Journal articles on the topic 'Fuzzy Integral Neutrosophic Matrices'

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1

Khalid, Dr. Huda E. "A New Attempt for Finding Minimum Solution in Fuzzy Neutrosophic Relational Geometric Programming (FNRGP) with (max, min) Composition." Neutrosophic Sets ans Systems 9, no. 9 (2015): 80–84. https://doi.org/10.5281/zenodo.31196.

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 This  article  sheds  lights  on  the possibility of finding the minimum solution set of neutrosophic relational  geometric programming with (max, min) composition. This work examines the privacy enjoyed by both  neutrosophic logic and geometric programming, and how it affects the minimum solutions.  Itis the first  attempt  to  solve  this  type  of  problems. Neutrosophic  relation  equations  are  important branches  of  neutrosophic  ma
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2

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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3

Anandhkumar, M., B. Kanimozhi, S. M. M.Chithra, V. Kamalakannan, and Broumi Said. "On various Inverse of Neutrosophic Fuzzy Matrices." International Journal of Neutrosophic Science 21, no. 2 (2023): 20–31. http://dx.doi.org/10.54216/ijns.210202.

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In this article, we discuss various Inverses Minimum norm g-inverse, Least square g-inverse, Moore Penrose inverse, Group Inverse, Generalized Symmetric Neutrosophic Fuzzy Matrices. Also we describes secondary k-column symmetric Neutrosophic fuzzy matrices are produced. It is discussed how s-k-column symmetric, s-column symmetric, k-column symmetric, and column symmetric Neutrosophic fuzzy matrices relate to one another. For an Neutrosophic fuzzy matrices to be an s-k-column symmetric Neutrosophic fuzzy matrices, necessary and sufficient requirements are identified.
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4

.., M., V. Kamalakannan, S. M. Chithra, and Broumi Said. "Pseudo Similarity of Neutrosophic Fuzzy matrices." International Journal of Neutrosophic Science 20, no. 4 (2023): 191–96. http://dx.doi.org/10.54216/ijns.200415.

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In this paper, first we shall define Pseudo Similarity for Neutrosophic Fuzzy Matrices and prove that Pseudo Similarity relation on pair of Neutrosophic Fuzzy Matrices. Also, we derive some relation between Pseudo Similarity and Idempotent matrices. Finally, we give in varies inverse of Neutrosophic Fuzzy Matrices.
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5

J.Boobalan. "Einstein Operators of Fuzzy Neutrosophic Soft Matrix of Type A." Advances in Nonlinear Variational Inequalities 28, no. 2s (2024): 599–609. https://doi.org/10.52783/anvi.v28.2816.

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In this article, we define two new operators Einstein sum and Einstein product of fuzzy neutrosophic soft matrices and investigated the algebraic properties of fuzzy neutrosophic soft matrices using the max-min operators and then constructed the scalar multiplication of fuzzy neutrosophic soft matrices and investigate their algebraic properties.
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6

admin, admin. "Secondary Partial Ordering of Neutrosophic Fuzzy Matrices." International Journal of Neutrosophic Science 24, no. 4 (2024): 411–19. http://dx.doi.org/10.54216/ijns.240431.

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In this article, we define secondary generalized inverse of a neutrosophic fuzzy matrices whenever exists. . Also, the S-ordering for the set of neutrosophic fuzzy matrices are defined and characterized. A necessary and sufficient condition for the existence of secondary generalized inverse of neutrosophic fuzzy matrices with the help of S-ordering is obtained.
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7

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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8

.., M., T. Harikrishnan, S. M. Chithra, V. Kamalakannan, and B. Kanimozhi. "Partial orderings, Characterizations and Generalization of k-idempotent Neutrosophic fuzzy matrices." International Journal of Neutrosophic Science 21, no. 2 (2024): 286–95. http://dx.doi.org/10.54216/ijns.230223.

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In this article, First, we study the different orderings for k-idempotent Neutrosophic fuzzy matrices (NFM). With this idea, we also discover some properties for the k- Neutrosophic fuzzy matrices and demonstrate the connection between the generalized inverse and different orderings. We also go through some properties for the T-ordering, T- reverse ordering, minus, and space ordering in k-idempotent Neutrosophic fuzzy matrices using the g-inverses with numerical examples is given. Minus ordering is a partial ordering in the set of all regular fuzzy matrices. We have introduced ordering on k− i
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9

Mathews, Priya, Lovelymol Sebastian, and Baiju Thankachan. "Neutrosophic Fuzzy Score Matrices: A Robust Framework for Advancing Medical Diagnostics." International Journal of Neutrosophic Science 23, no. 3 (2024): 08–17. http://dx.doi.org/10.54216/ijns.230301.

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In this paper, we introduce the Single-Valued Neutrosophic Fuzzy Matrix (SVNFM), which consists of entries that are all single-valued neutrosophic fuzzy sets (SVNFS). Our objective is to provide a practical tool for dealing with uncertain and indeterminate input. To achieve this, we first define a neutrosophic fuzzy matrix (NFM) and discuss its fundamental properties. The use of various operations in decision making is a notable characteristic of single-valued neutrosophic fuzzy matrices (SVNFMs). In this paper, we propose a multicriteria group decision-making method that incorporates novel op
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10

Kavitha, M., P. Murugadas, and S. Sriram. "PERIODICITY OF INTERVAL FUZZY NEUTROSOPHIC SOFT MATRICES." Advances in Mathematics: Scientific Journal 9, no. 4 (2020): 1661–70. http://dx.doi.org/10.37418/amsj.9.4.22.

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11

Murugadas, P., and M. Kavitha. "Convergence of Fuzzy Neutrosophic Soft Circulant Matrices." Journal of Physics: Conference Series 1850, no. 1 (2021): 012076. http://dx.doi.org/10.1088/1742-6596/1850/1/012076.

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12

admin, admin, H. .., S. M. Chithra, A. S. Prakaash, and A. Bobin. "Secondary K-Range Symmetric Neutrosophic Fuzzy Matrices." International Journal of Neutrosophic Science 23, no. 4 (2024): 23–28. http://dx.doi.org/10.54216/ijns.230402.

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This paper introduces and explores the concept of secondary k-Range Symmetric (RS) Neutrosophic Fuzzy Matrices (NFM) and establishes its properties and relationships with other symmetric and secondary symmetric NFMs. The study defines secondary k-RS NFMs and provides insightful numerical examples to illustrate their characteristics. The paper investigates the interconnections among s-k-RS, s-RS, k-RS, and RS NFMs, discuss on their mutual relations. Additionally, the necessary and sufficient conditions for a given NFM to qualify as a s-k-RS NFM are identified. The research demonstrates that k-s
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13

R. Uma, P. Murugadas, and S. Sriram. "Fuzzy Neutrosophic Soft Block Matrices and its Some Properties." International Journal of Fuzzy Mathematical Archive 14, no. 02 (2017): 287–303. http://dx.doi.org/10.22457/ijfma.v14n2a12.

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In this article different types of fuzzy neutrosophic soft block matrices (FNSBMs) are introduced. The operations direct sum, Kronecker sum, Kronecker product of FNSMs are defined and shown that their resultant matrices are FNSBMs. Finally, some relational operations are presented and some properties of FNSBMs are discussed.
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14

Hussain, Aftab, Hamed Al Sulami, and Umar Ishtiaq. "Some New Aspects in the Intuitionistic Fuzzy and Neutrosophic Fixed Point Theory." Journal of Function Spaces 2022 (March 3, 2022): 1–14. http://dx.doi.org/10.1155/2022/3138740.

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In this manuscript, we use the concepts of continuous t-norms and continuous t-conorms to introduce some definitions, in which intuitionistic fuzzy rectangular metric spaces, intuitionistic fuzzy rectangular metric-like spaces, intuitionistic fuzzy rectangular b-metric spaces, intuitionistic fuzzy rectangular b-metric-like spaces, neutrosophic rectangular metric spaces, neutrosophic rectangular metric-like spaces, neutrosophic rectangular b-metric spaces, and neutrosophic rectangular b-metric-like spaces are included. Continuous t-norms and continuous t-conorms are used to generalize the proba
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15

Jabbar, Sahar M., Ameera N. Alkiffai, and Azal Mera. "Solving Thermal System Problem Via Fuzzy Mohand Transform under Neutrosophic Initial Conditions." International Journal of Neutrosophic Science 21, no. 1 (2023): 08–13. http://dx.doi.org/10.54216/ijns.210101.

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In this paper, a new fuzzy integral transform is introduced and called “fuzzy Mohand transform” which is based on a mathematical formula of the classical Mohand transform. The fuzzy technique that is well-established from fuzzy Laplace transform, agrees with the neutrosophic logic. In fact, in mathematical field, neutrosophic logic, which is based on the idea of indeterminacy, is introduced as a generalization of fuzzy logic. In Neutrosophic logic, there are three values, grade of membership of Truth values (T), Indeterminate values (I) and False values (F). To demonstrate this mixed technique
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16

Riaz, Muhammad, Umar Ishtiaq, Choonkil Park, Khaleel Ahmad та Fahim Uddin. "Some fixed point results for <i>ξ</i>-chainable neutrosophic and generalized neutrosophic cone metric spaces with application". AIMS Mathematics 7, № 8 (2022): 14756–84. http://dx.doi.org/10.3934/math.2022811.

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&lt;abstract&gt; &lt;p&gt;This manuscript is concerned for introducing novel concepts of &lt;italic&gt;ξ&lt;/italic&gt;-chainable neutrosophic metric space and generalized neutrosophic cone metric spaces. We use four self-mappings to establish common fixed point theorem in the sense of &lt;italic&gt;ξ&lt;/italic&gt;-chainable neutrosophic metric space and three self-mappings to establish common fixed point results in the sense of generalized neutrosophic metric spaces. Certain properties of &lt;italic&gt;ξ&lt;/italic&gt;-chainable neutrosophic metric space and generalized neutrosophic metric s
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17

Marimuthu, G., and S. Chanthirababu. "On Schur Complement in k-Kernel Symmetric Neutrosophic and Intuitionistic Fuzzy Matrices." International Journal of Neutrosophic Science 23, no. 2 (2024): 270–85. http://dx.doi.org/10.54216/ijns.230222.

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The present study provides the necessary and sufficient criteria for the k-Kernel symmetry (KS) of a Schur complement (SC) in a k-KS Neutrosophic Fuzzy matrices (NFM) and Intuitionistic Fuzzy Matrices (IFM). Equivalent characterizations of KS and k-KS NFM and IFM are presented in this work. We provide a few fundamental examples about KS NFM and IFM. It is demonstrated that while k-symmetric implies k-KS, but the converse need not be true. A few fundamental characteristics of k-KS IFM and NFM are obtained.
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18

Uma, R., S. Sriram, and P. Murugadas. "Fuzzy Neutrosophic Soft Matrices of Type I and Type II." Fuzzy Information and Engineering 13, no. 2 (2021): 211–22. http://dx.doi.org/10.1080/16168658.2021.1923621.

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19

M.Anandhkumar. "Secondary k-Kernel Symmetric Interval Valued Intuitionistic Neutrosophic Fuzzy Matrices." Communications on Applied Nonlinear Analysis 32, no. 3 (2024): 272–90. http://dx.doi.org/10.52783/cana.v32.1959.

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We propose the idea of secondary symmetric k-kernels with interval-valued intuitionistic neutrosophic fuzzy matrices (IVINFM) like an EP matrix within the complex field. The notion of secondary kernel IVINFM and k-kernel symmetric (KS) IVINFM is presented by providing examples. We also illustrate the graphical representation of KS adjacency IVINFM and incidence IVINFM. We found every isomorphic IVINFM and non-isomorphic IVINFM graph to be k-KS IVINFM. However, the reverse shall not be the case. The definition of k-symmetric IVINFM as k- KS IVINFM, but the reverse is not the case. The character
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20

Kakati, Pankaj, Surajit Borkotokey, Radko Mesiar, and Saifur Rahman. "Interval neutrosophic hesitant fuzzy choquet integral in multicriteria decision making." Journal of Intelligent & Fuzzy Systems 35, no. 3 (2018): 3213–31. http://dx.doi.org/10.3233/jifs-17166.

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21

Zulqarnain, Rana Muhammad, Imran Siddique, Rifaqat Ali, Fahd Jarad, Abdul Samad, and Thabet Abdeljawad. "Neutrosophic Hypersoft Matrices with Application to Solve Multiattributive Decision-Making Problems." Complexity 2021 (June 4, 2021): 1–17. http://dx.doi.org/10.1155/2021/5589874.

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The concept of the neutrosophic hypersoft set (NHSS) is a parameterized family that deals with the subattributes of the parameters and is a proper extension of the neutrosophic soft set to accurately assess the deficiencies, anxiety, and uncertainty in decision-making. Compared with existing research, NHSS can accommodate more uncertainty, which is the most significant technique for describing fuzzy information in the decision-making process. The main objective of the follow-up study is to develop the theory of neutrosophic hypersoft matrix (NHSM). The NHSM is the generalized form of a neutros
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22

Usman Ali, Umar Ishtiaq, Zill E Shams, Khaleel Ahmad, Mohammad Irfan Haider, and Muhammad Zeeshan Shafi. "Extension of Some Common Fixed-Point Theorems in Neutrosophic Metric Spaces Via Control Function." Scientific Inquiry and Review 6, no. 3 (2022): 19–45. http://dx.doi.org/10.32350/sir.63.02.

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The aim of this paper is to prove some important fixed-point theorems in the context of the neutrosophic metric space, which is a generalization of the fuzzy Banach fixed-point theorem, by utilizing the control function. Also, certain fixed-point theorems in the G-complete neutrosophic metric space are proved and discussed by utilizing the alternating distance function (ADF) and defined neutrosophic -weak contraction. The current study supports the results with some non-trivial examples. Furthermore, it also supports the main result with an application of the Fredholm integral equation.
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23

Anwar, Anwar, and Ayman A. Hazaymeh. "Neutrosophic fuzzy metric spaces and fixed points results with integral contraction type." International Journal of Neutrosophic Science 25, no. 3 (2025): 561–72. http://dx.doi.org/10.54216/ijns.250344.

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In this study, we introduce fixed point theorems related to integral type contractions, framed within the advanced context of neutrosophic fuzzy metric spaces. Additionally, we derive multiple fixed point results that are relevant to this particular setting.
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24

Jin, Yun, Muhammad Kamran, Nadeem Salamat, Shouzhen Zeng, and Riaz Hussain Khan. "Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem." Journal of Function Spaces 2022 (March 7, 2022): 1–11. http://dx.doi.org/10.1155/2022/7233420.

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Single-valued neutrosophic sets are a hybrid of fuzzy sets that are used to represent uncertain, imprecise, partial, and inconsistent information in the actual world. The focus of this research is to develop two novel distance measures for single-valued neutrosophic fuzzy sets (SVNFSs). We introduced two new distance measures named d η G , Y and d ζ G , Y for SVNFSs and apply these measures to different examples and also compare them with existing measures to show the validity of our proposed measures. Our results are reliable and useful for decision-making problems. We also proposed an algori
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25

Khaleel Ahmad, Farhan Ali, Hafiz Ali Shahid, and Sahib Yar. "Common Fixed-Point Theorems for Weakly Compatible Mapping in Neutrosophic Metric Space of Integral Type Using Common EA Property." Journal of Innovative Research in Mathematical and Computational Sciences 3, no. 2 (2024): 1–16. https://doi.org/10.62270/jirmcs.v3i2.33.

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This manuscript focuses on developing and generalizing fixed-point results within the framework of neutrosophic metric spaces of integral type. By employing the common property (EA) and four self-mappings the study investigates the conditions necessary for the existence and uniqueness of fixed and common fixed points in neutrosophic metric spaces. To guarantee the validity of the results, the mappings under examination must meet certain contractive conditions and implicit relations such as being Lebesgue integrable and summable and non-negative. This work builds on the foundational concepts of
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26

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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&lt;abstract&gt;&lt;p&gt;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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27

.., M., T. Harikrishnan, S. M. Chithra, V. Kamalakannan, B. Kanimozhi, and Broumi Said. "Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices." International Journal of Neutrosophic Science 21, no. 4 (2023): 135–45. http://dx.doi.org/10.54216/ijns.210413.

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In this paper, we introduce the concept of reverse sharp ordering on Neutrosophic Fuzzy matrix (NFM) as a special case of minus ordering. We also introduce the concept of reverse left-T and right-T orderings for NFM as an analogue of left-star and right-star partial orderings for complex matrices. Several properties of these ordering are derived. We show that these ordering preserve its Moore-penrose inverse property. Finally, we show that these ordering are identical for certain class of NFM.
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28

Kakati, Pankaj, Surajit Borkotokey, Saifur Rahman, and Bijan Davvaz. "Interval neutrosophic hesitant fuzzy Einstein Choquet integral operator for multicriteria decision making." Artificial Intelligence Review 53, no. 3 (2019): 2171–206. http://dx.doi.org/10.1007/s10462-019-09730-7.

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29

Shihadeh, Abdallah, Mayada Abualhomos, Alaa M. Abd El-latif, et al. "Key Characteristics of Quadri-Partitioned Neutrosophic Riemann integrals and Quadri-Partitioned Neutrosophic Soft Topological Spaces." European Journal of Pure and Applied Mathematics 18, no. 2 (2025): 5839. https://doi.org/10.29020/nybg.ejpam.v18i2.5839.

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Neutrosophic Set Theory (NST) is an extension of Intuitionistic Fuzzy Set Theory (IFST). While IFST relies on two possibilities for the complete depiction of a set, neutrosophic set theory familiarizes an additional third possibility, thus providing a more delicate representation. Our research builds upon a further extension of neutrosophic set theory, known as quadri-partitioned neutrosophic set theory (QPNST), which brings in a fourth possibility for a more detailed and complete description of sets. In this study, we define the Riemann Integral Theory (RIT) within the framework of QPNST. Thi
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30

Benyazid, Yassine, Mohamed Fnadi, and Ahmed Said Nouri. "A Discrete Integral Sliding Manifold for a Nonlinear System with Time Delay: An Event-Triggered Scheme." Mathematics 11, no. 10 (2023): 2326. http://dx.doi.org/10.3390/math11102326.

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This paper presents a new approach to integral sliding mode control for discrete nonlinear systems with time delay. The approach is based on an event-triggered scheme and is applied to Takagi–Sugeno fuzzy models. In the first step, a new integral sliding function is constructed, which avoids the limited assumptions of most existing fuzzy sliding mode control schemes. The design parameter matrices defining the sliding surface are obtained by solving linear matrix inequalities. In the second step, an event trigger-based integral sliding mode control protocol is developed to ensure the state traj
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31

Mumtaj Begum, H., M. Umadevi, V. P. M. Senthil Nayaki, and N. Martin. "POLYCYSTIC OVARIAN SYNDROME A THREAT TO INFERTILITY IN WOMEN - DIAGNOSIS BY NEUTROSOPHIC LINGUISTIC FUZZY MATRICES." Advances in Mathematics: Scientific Journal 9, no. 5 (2020): 3067–73. http://dx.doi.org/10.37418/amsj.9.5.66.

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32

Verma, Nishchal K. "Estimation of Fuzzy Measures Using Covariance Matrices in Gaussian Mixtures." Applied Computational Intelligence and Soft Computing 2012 (2012): 1–16. http://dx.doi.org/10.1155/2012/402420.

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This paper presents a novel computational approach for estimating fuzzy measures directly from Gaussian mixtures model (GMM). The mixture components of GMM provide the membership functions for the input-output fuzzy sets. By treating consequent part as a function of fuzzy measures, we derived its coefficients from the covariance matrices found directly from GMM and the defuzzified output constructed from both the premise and consequent parts of the nonadditive fuzzy rules that takes the form of Choquet integral. The computational burden involved with the solution ofλ-measure is minimized using
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33

Liu, Kaisheng. "A New Fuzzy Joint Choquet Integral Method Under Interval-Valued Function." International Journal of Fuzzy System Applications 13, no. 1 (2023): 1–21. http://dx.doi.org/10.4018/ijfsa.334699.

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A new fuzzy group decision-making method considering multi-attributes correlation under interval-valued function is presented, which mainly includes (1) acquiring the group fuzzy preference matrix and (2) handling the interactions between multiple evaluation attributes. To do that, firstly, the fuzzy joint Choquet integral based on an interval-valued function is proposed, which not only reflects the interaction between multiple attributes in a complex and uncertain environment, but also retains the initial preference of the decision maker. Secondly, a Shapley value with fuzzy measure is applie
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34

Rajesh, Neelamegarajan, Tahsin Oner, Aiyared Iampan, and Ibrahim Senturk. "Intuitionistic Fuzzy Structures on Sheffer Stroke UP-algebras." European Journal of Pure and Applied Mathematics 18, no. 1 (2025): 5627. https://doi.org/10.29020/nybg.ejpam.v18i1.5627.

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The study defines an intuitionistic fuzzy SUP-subalgebra and a level set of an intuitionistic fuzzy UP-structure on Sheffer stroke UP-algebras. It appears that these concepts are integral to understanding the behavior of neutrosophic logic within the framework of Sheffer stroke UP-algebras. The study establishes a relationship between UP-subalgebras and level sets on Sheffer stroke UP-algebras. Specifically, it proves that the level set of intuitionistic fuzzy SUP-subalgebras on this algebra is its subalgebra, and vice versa. It is stated that the family of all intuitionistic fuzzy SUP-subalge
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35

Abobala, Mohammad, and Ali Allouf. "On A Novel Security Scheme for The Encryption and Decryption Of 2×2 Fuzzy Matrices with Rational Entries Based on The Algebra of Neutrosophic Integers and El-Gamal Crypto-System." Neutrosophic Sets and Systems 54 (April 10, 2023): 19–32. https://doi.org/10.5281/zenodo.7814503.

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The main goal behind mathematical cryptography is to keep messages and multimedia messages secret at a time when modern means of communication have spread and become very diverse. Fuzzy matrices as strong tools which was defined to deal with incomplete and uncertain data and many relationships in real life problems especially those which are related to images and graphs, may considered as important subjects for secret information and communication.
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36

Youssef, T., M. Chadli, H. R. Karimi, and M. Zelmat. "Chaos Synchronization Based on Unknown Input Proportional Multiple-Integral Fuzzy Observer." Abstract and Applied Analysis 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/670878.

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This paper presents an unknown input Proportional Multiple-Integral Observer (PIO) for synchronization of chaotic systems based on Takagi-Sugeno (TS) fuzzy chaotic models subject to unmeasurable decision variables and unknown input. In a secure communication configuration, this unknown input is regarded as a message encoded in the chaotic system and recovered by the proposed PIO. Both states and outputs of the fuzzy chaotic models are subject to polynomial unknown input withkth derivative zero. Using Lyapunov stability theory, sufficient design conditions for synchronization are proposed. The
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37

Khanum, Seema, M. Gunasekaran, S. V. Rajiga, A. Firos, and Kafui Tsoeke Agbevanu. "Intuitionistic Fuzzy Hamacher Generalized Shapley Choquet Integral Operators Based Decision-Making Model for Feature Extraction and Automatic Material Classification in Mining Area Using Satellite Data." Advances in Materials Science and Engineering 2022 (May 30, 2022): 1–15. http://dx.doi.org/10.1155/2022/2890996.

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The normal methods for monitoring environmental pollution with image data have many false positives. Therefore, this study is proposing a single-valued neutrosophic set (SVNS) (a variant of NS)-based method as a decision-making model using intuitionistic fuzzy Hamacher generalized Shapley Choquet integral operators for feature extraction and automatic material classification in mining area using satellite data. The experimental results show that this decision-making model using intuitionistic fuzzy Hamacher generalized Shapley Choquet integral operators for feature extraction and automatic mat
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38

Abd Rhani, Norarida, Nurul Eylia Maisarah Mazlan, Nur Amani Izzati Mohd Azhan, Siti Nurul Fitriah Mohamad, and Suriana Alias. "Fuzzy and Neutrosophic Cognitive Maps Analysis of the Emergence of COVID-19 Post-vaccination." Malaysian Journal of Fundamental and Applied Sciences 20, no. 4 (2024): 801–12. http://dx.doi.org/10.11113/mjfas.v20n4.3472.

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After several years of the spread of coronavirus disease 2019 (COVID-19) around the world occurred, World Health Organization (WHO) has stimulated great efforts to develop a vaccine against the COVID-19. Therefore, all of citizen is obliged to take the vaccine for precaution. However, the vaccine is only one step to reduce the spreadness of COVID-19, where the appearance of COVID-19 can occur after vaccination. Some peoples do not understand the vaccine function where it is used to prevent spreading COVID-19. This research analysed the emergence of COVID-19 post-vaccination by using the method
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39

STEINACKER, HAROLD. "NON-COMMUTATIVE GAUGE THEORY ON FUZZY ℂP2". Modern Physics Letters A 20, № 17n18 (2005): 1345–57. http://dx.doi.org/10.1142/s0217732305017809.

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Gauge theory on fuzzy ℂP2 can be defined as a multi-matrix model, which consistently combines a UV cutoff with the classical symmetries of ℂP2. The degrees of freedom are 8 hermitian matrices of finite size, 4 of which are tangential gauge fields and 4 are auxiliary variables. The model depends on a noncommutativity parameter [Formula: see text], and reduces to the usual U(n) Yang-Mills action on the 4-dimensional classical ℂP2 in the limit N→∞. The quantization of the model is defined in terms of a path integral, which is manifestly finite.
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40

Mnasri, Chaouki, and Moncef Gasmi. "LMI-based adaptive fuzzy integral sliding mode control of mismatched uncertain systems." International Journal of Applied Mathematics and Computer Science 21, no. 4 (2011): 605–15. http://dx.doi.org/10.2478/v10006-011-0047-5.

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LMI-based adaptive fuzzy integral sliding mode control of mismatched uncertain systems Integral sliding mode design is considered for a class of uncertain systems in the presence of mismatched uncertainties in both state and input matrices, as well as norm-bounded nonlinearities and external disturbances. A sufficient condition for the robust stability of the sliding manifold is derived by means of linear matrix inequalities. The initial existence of the sliding mode is guaranteed by the proposed control law. The improvement of the proposed control scheme performances, such as chattering elimi
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41

Zamani, Abbas-Ali, Saeed Tavakoli, Sadegh Etedali, and Jafar Sadeghi. "Adaptive fractional order fuzzy proportional–integral–derivative control of smart base-isolated structures equipped with magnetorheological dampers." Journal of Intelligent Material Systems and Structures 29, no. 5 (2017): 830–44. http://dx.doi.org/10.1177/1045389x17721046.

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The current semi-active or even active control strategies have been developed to address a few drawbacks, such as unwanted large displacements created at the base level and system deficiency in adaptation to different types of seismic excitations, in the base isolation systems. In this article, two control strategies, multi-objective modified clipped optimal and adaptive fractional order fuzzy proportional–integral–derivative, are proposed for semi-active control of a smart base-isolated structure equipped with a magnetorheological damper. The main objective is to reduce the displacement of is
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42

Nasir, Jamshed, Saber Mansour, Shahid Qaisar, and Hassen Aydi. "Some variants on Mercer's Hermite-Hadamard like inclusions of interval-valued functions for strong Kernel." AIMS Mathematics 8, no. 5 (2023): 10001–20. http://dx.doi.org/10.3934/math.2023506.

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&lt;abstract&gt;&lt;p&gt;Using Atangana-Baleanu ($ AB $) fractional integral operators, we first establish some fractional Hermite-Hadamard-Mercer inclusions for interval-valued functions in this study. In this, some fresh developments of the Hermite-Hadamard inequality for fractional integral operators are presented. A few instances are also given to support our conclusions. The resulting results could provide new insight into a variety of integral inequalities for fuzzy interval-valued functions, fractional interval-valued functions, and the optimization issues they raise. Finally, matrices-
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43

Liu, Mengxue. "Enhanced Cross-Entropy Technique for Triangular Fuzzy Neutrosophic Multiple-Attribute Decision-Making and Applications to Quality Evaluation of Urban-Park Environmental Design." International Journal of Fuzzy System Applications 13, no. 1 (2024): 1–19. http://dx.doi.org/10.4018/ijfsa.357694.

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The evaluation of urban park environmental design quality is essential for ensuring that parks meet community needs and environmental sustainability. By comprehensively considering indicators such as functionality, aesthetics, sustainability, and user experience, this evaluation helps designers optimize spatial layouts and enhance the efficiency and aesthetic value of parks. Additionally, good environmental design promotes ecological protection, improves the quality of life for residents, and adds more green spaces to the city, making parks an integral part of daily urban life. The evaluation
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44

Nasser, Nasser. "Automated Learning Style Prediction using Weighted Neutrosophic Fuzzy Soft Rough Sets in E-learning Platform." International Journal of Neutrosophic Science 25, no. 1 (2025): 104–16. http://dx.doi.org/10.54216/ijns.250109.

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Neutrosophic fuzzy logic (NFL) is a prolongation of classical FL that integrates the neutrosophic conception that handles the indeterminacy concept. This method offers a more comprehensive and flexible architecture to handle inconsistent, uncertain, and indeterminate data, which makes it especially helpful in complicated reasoning and decision-making scenarios where classical FL might be defeated. A learning scheme, which is made from the internet and computer as the main components, is called as an e-learning platform. Although the training might happen on or off campuses, utilizing the inter
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Liu, Meijie, Changhua Hu, Hong Pei, Hongzeng Li, and Xiaoxiang Hu. "Adaptive Fuzzy Fault-Tolerant Attitude Control for a Hypersonic Gliding Vehicle: A Policy-Iteration Approach." Actuators 13, no. 7 (2024): 259. http://dx.doi.org/10.3390/act13070259.

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In this paper, adaptive fuzzy fault-tolerant control (AFFTC) for the attitude control system of a hypersonic gliding vehicle (HGV) experiencing an actuator fault is proposed. Actuator faults of the HGV are considered with respect to its actual structure and actuator characteristics. The HGV’s attitude system is firstly represented by a T–S fuzzy model, and then a normal T–S fuzzy controller is designed. A reinforcement learning (RL)-based policy iterative solution algorithm is proposed for the solving of the T-S fuzzy controller. Then, based on the normal T–S controller, a fuzzy FTC controller
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Qi, Shunan, Kun Zhou, Suan Xu, and Yanfeng Gao. "New Relaxed Static Output Feedback Stabilization of T–S Fuzzy Systems with Time-Varying Delays." Processes 11, no. 1 (2023): 121. http://dx.doi.org/10.3390/pr11010121.

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This paper investigates the imperfect premise matching-based (IPMB) static output feedback (SOF) controller for T–S fuzzy systems with time-varying delays. Firstly, by employing integral inequality techniques, the membership-function-independent fuzzy SOF design methods in terms of LMIs are presented based on imperfect premise matching (IPM) strategy. The obtained stabilization conditions do not contain equality constraints, and the output matrices do not have rank constraints. Secondly, some suitable relaxation variables are employed, and more relaxed membership-function-dependent (MFD) stabi
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Zheng, Minjie, Yulai Su, and Changjian Yan. "Further Stability Criteria for Sampled-Data-Based Dynamic Positioning Ships Using Takagi–Sugeno Fuzzy Models." Symmetry 16, no. 1 (2024): 108. http://dx.doi.org/10.3390/sym16010108.

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This article discusses the stability problem of sampled-data-based dynamic positioning ships (DPSs) using Takagi–Sugeno (T-S) fuzzy models. Firstly, dynamic equations for sampled-data DPSs are established. Simultaneously combining several symmetric matrices with new integral terms, a novel Lyapunov–Krasovskii function (LKF) is constructed, which allows the information of a sampling pattern to be fully captured. Next, via the constructed LKF, the positive definiteness requirements of a LKF are further relaxed, and the conservatism of the result can be reduced. Consequently, stability criteria a
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48

Huda, E. Khalid. "An Original Notion to Find Maximal Solution in the Fuzzy Neutrosophic Relation Equations (FNRE) with Geometric Programming (GP)." July 1, 2015. https://doi.org/10.5281/zenodo.22427.

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In this paper, finding - a maxima&nbsp;solution is introduced a&nbsp;fuzzy&nbsp;neutrosophic relation equation. The notion of fuzzy relation equation was first investigated&nbsp;by Sanchez in 1976, while Florentin&nbsp;Smarandache put forward&nbsp;fuzzy&nbsp;neutrosophic relation equations in 2004 with&nbsp;innovative investigation. This paper is first &nbsp;attempt to establish the structure of solution set&nbsp;on model. The NRE have a wide applications&nbsp;in various real world problems like flow rate in&nbsp;chemical plants, transportation problem, study&nbsp;of bounded labor problem, stu
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Selçuk, Topal, Broumi Said, Bakali Assia, Talea Mohamed, and Smarandache Florentin. "A Python Tool for Implementations on Bipolar Neutrosophic Matrices." August 31, 2019. https://doi.org/10.5281/zenodo.3382529.

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Bipolar neutrosophic matrices (BNM) are obtained by bipolar neutrosophic sets. Each bipolar neutrosophic number represents an element of the matrix. The matrices are representable multi-dimensional arrays (3D arrays). The arrays have nested list data type. Some operations, especially the composition is a challenging algorithm in terms of coding because there are so many nested lists to manipulate. This paper presents a Python tool for bipolar neutrosophic matrices. The advantage of this work, is that the proposed Python tool can be used also for fuzzy matrices, bipolar fuzzy matrices, intuitio
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50

M.Anandhkumar, G.Punithavalli, T.Soupramanien, and Broumi Said. "Generalized Symmetric Neutrosophic Fuzzy Matrices." August 21, 2023. https://doi.org/10.5281/zenodo.8271337.

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&ndash;We develop the concept of range symmetric Neutrosophic Fuzzy Matrix and Kernel symmetric Neutrosophic Fuzzy Matrix analogous to that of an EP &ndash;matrix in the complex field. First we present equivalent characterizations of a range symmetric matrix and then derive equivalent conditions for a Neutrosophic Fuzzy Matrix to be kernel symmetric matrix and study the relation between range symmetric and kernel symmetric Neutrosophic Fuzzy Matrices. The idea of Kernel and k-Kernel Symmetric (k-KS) Neutrosophic Fuzzy Matrices (NFM) are introduced with an example. We present some basic results
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