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Neutrosophic Fuzzy Matrices And Some Algebraic Operations


Neutrosophic Fuzzy Matrices And Some Algebraic Operations
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Neutrosophic Fuzzy Matrices And Some Algebraic Operations


Neutrosophic Fuzzy Matrices And Some Algebraic Operations
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Author : Rakhal Das
language : en
Publisher: Infinite Study
Release Date :

Neutrosophic Fuzzy Matrices And Some Algebraic Operations written by Rakhal Das and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


In this article, we study neutrosophic fuzzy set and define the subtraction and multiplication of two rectangular and square neutrosophic fuzzy matrices. Some properties of subtraction, addition and multiplication of these matrices and commutative property, distributive property have been examined.



Decomposition Of Neutrosophic Fuzzy Matrices


Decomposition Of Neutrosophic Fuzzy Matrices
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Author : P. Murugadas
language : en
Publisher: Infinite Study
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Decomposition Of Neutrosophic Fuzzy Matrices written by P. Murugadas and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


In this paper, we study some properties of modal operators in Neutrosophic fuzzy matrix and we introduce a new composition operation and discuss some of its algebraic properties. Finally, we obtain a decomposition of a Neutrosophic fuzzy matrix by using the new composition operation and modal operators.



A New View On Neutrosophic Matrix


A New View On Neutrosophic Matrix
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Author : Banu Pazar Varol
language : en
Publisher: Infinite Study
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A New View On Neutrosophic Matrix written by Banu Pazar Varol and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


In the present paper, we define a new kind of matrix called by a neutrosophic matrix, whose entries are all single-valued neutrosophic sets. So, we aim to be introduce a convenient tool for the problems, have uncertain inputs. We give the definition of a neutrosophic matrix with its basic operations. Then we investigate the properties of the given operations and also prove that the family of all neutrosophic matrices is a vector space over a classical field.



The Computations Of Algebraic Structure Of Neutrosophic Determinants


The Computations Of Algebraic Structure Of Neutrosophic Determinants
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Author : Adel Mohammad Al-Odhari
language : en
Publisher: Infinite Study
Release Date : 2024-01-01

The Computations Of Algebraic Structure Of Neutrosophic Determinants written by Adel Mohammad Al-Odhari and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-01 with Mathematics categories.


This paper aims to make a valuable contribution to the field of neutrosophic determinants and their properties. By utilizing neutrosophic real numbers in the form of a+bI, we provide an alternative approach to recent research on determinants conducted between 2020 and 2023. Our goal is to expand the scope of academic content being developed in the theory of neutrosophic linear algebra. Additionally, we seek to complement our work on some algebraic structures of neutrosophic matrices.



On Studying Certain Fuzzy Neutrosophic Matrices And Operators


On Studying Certain Fuzzy Neutrosophic Matrices And Operators
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Author : R. Sophia Porchelvi
language : en
Publisher: Infinite Study
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On Studying Certain Fuzzy Neutrosophic Matrices And Operators written by R. Sophia Porchelvi and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


Neutrosophic set is a new mathematical tool for handling problems involving imprecise, indeterminacy and inconsistent data. In 1988, Smarandache introduce the concept of a neutrosophic set from a philosophical point of view. The neutrosophic set is a powerful general framework that generalizes the concept of fuzzy set and intutionistic fuzzy set.



A Review On Recent Developments Of Neutrosophic Matrix Theory And Open Problems


A Review On Recent Developments Of Neutrosophic Matrix Theory And Open Problems
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Author : Mohammad Abobala
language : en
Publisher: Infinite Study
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A Review On Recent Developments Of Neutrosophic Matrix Theory And Open Problems written by Mohammad Abobala and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.




Extension Principle Based On Neutrosophic Multi Fuzzy Sets And Algebraic Operations


Extension Principle Based On Neutrosophic Multi Fuzzy Sets And Algebraic Operations
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Author : Mehmet Sahin
language : en
Publisher: Infinite Study
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Extension Principle Based On Neutrosophic Multi Fuzzy Sets And Algebraic Operations written by Mehmet Sahin and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this paper, we first proposed the extension principles of neutrosophic multi-sets and cut sets which are a bridge between neutrosophic multi-sets and crisp sets. Then the representation theorem of neutrosophic multi-sets based on cut sets are studied. Finally, the addition, subtraction, multiplication and division operations over neutrosophic multi-sets are defined based on the extension principle.



A New Type Of Neutrosophic Set In Pythagorean Fuzzy Environment And Applications To Multi Criteria Decision Making


A New Type Of Neutrosophic Set In Pythagorean Fuzzy Environment And Applications To Multi Criteria Decision Making
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Author : Mahmut Can Bozyigit
language : en
Publisher: Infinite Study
Release Date : 2023-04-01

A New Type Of Neutrosophic Set In Pythagorean Fuzzy Environment And Applications To Multi Criteria Decision Making written by Mahmut Can Bozyigit and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-01 with Mathematics categories.


In this paper, we introduce the concepts of Pythagorean fuzzy valued neutrosophic set (PFVNS) and Pythagorean fuzzy valued neutrosophic (PFVNV) constructed by considering Pythagorean fuzzy values (PFVs) instead of numbers for the degrees of the truth, the indeterminacy and the falsity, which is a new extension of intuitionistic fuzzy valued neutrosophic set (IFVNS). By means of PFVNSs, the degrees of the truth, the indeterminacy and the falsity can be given in Pythagorean fuzzy environment and more sensitive evaluations are made by a decision maker in decision making problems compared to IFVNSs. In other words, such sets enable a decision maker to evaluate the degrees of the truth, the indeterminacy and the falsity as PFVs to model the uncertainty in the evaluations. First of all, we propose the concepts of Pythagorean fuzzy t-norm and t-conorm and show that some Pythagorean fuzzy t-norms and t-conorms are expressed via ordinary continuous Archimedean t-norms and t-conorms. Then we define the concepts of PFVNS and PFVNV and provide a tool to construct a PFVNV from an ordinary neutrosophic fuzzy value. We also define some set theoretic operations between PFVNSs and some algebraic operations between PFVNVs via t-norms and t-conorms. With the help of these algebraic operations we propose some weighted aggregation operators. To measure discrimination information of PFVNVs, we define a simplified neutrosophic valued modified fuzzy cross-entropy measure. Moreover, we introduce a multi-criteria decision making method in Pythagorean fuzzy valued neutrosophic environment and practice the proposed theory to a real life multi-criteria decision making problem. Finally, we study the comparison analysis and the time complexity of the proposed method.



Pura Vida Neutrosophic Algebra


Pura Vida Neutrosophic Algebra
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Author : Ranulfo Paiva Barbosa (Sobrinho)
language : en
Publisher: Infinite Study
Release Date : 2023-01-01

Pura Vida Neutrosophic Algebra written by Ranulfo Paiva Barbosa (Sobrinho) and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.


We introduce Pura Vida Neutrosophic Algebra, an algebraic structure consisting of neutrosophic numbers equipped with two binary operations namely addition and multiplication. The addition can be calculated sometimes with the function min and other times with the max function. The multiplication operation is the usual sum between numbers. Pura Vida Neutrosophic Algebra is an extension of both Tropical Algebra (also known as Min-Plus, or Min-Algebra) and Max-Plus Algebra (also known as Max-algebra). Tropical and Max-Plus algebras are algebraic structures included in semirings and their operations can be used in matrices and vectors. Pura Vida Neutrosophic Algebra is included in Neutrosophic semirings and can be used in Neutrosophic matrices and vectors.



A Note On Square Neutrosophic Fuzzy Matrices


A Note On Square Neutrosophic Fuzzy Matrices
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Author : Mamouni Dhar
language : en
Publisher: Infinite Study
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A Note On Square Neutrosophic Fuzzy Matrices written by Mamouni Dhar and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this article, we shall define the addition and multiplication of two neutrosophic fuzzy matrices. Thereafter, some properties of addition and multiplication of these matrices are also put forward.