Author: BANU PAZAR VAROL
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
In the present paper, we de fine 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 first give the defi nition 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 classicalfi eld.
A NEW VIEW ON NEUTROSOPHIC MATRIX
Author: BANU PAZAR VAROL
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
In the present paper, we de fine 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 first give the defi nition 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 classicalfi eld.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
In the present paper, we de fine 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 first give the defi nition 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 classicalfi eld.
A NEW VIEW ON NEUTROSOPHIC MATRIX
Author: Banu Pazar Varol
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
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.
A Review On Recent Developments of Neutrosophic Matrix Theory and Open Problems
Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 22
Book Description
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 22
Book Description
Some new operations on single-valued neutrosophic matrices and their applications in multi-criteria group decision making
Author: Faruk Karaaslan
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 21
Book Description
The single-valued neutrosophic set plays a crucial role to handle indeterminant and inconsistent information during decision making process. In recent research, a development in neutrosophic theory is emerged, called single-valued neutrosophic matrices, are used to address uncertainties. The beauty of single-valued neutrosophic matrices is that the utilizing of several fruitful operations in decision making.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 21
Book Description
The single-valued neutrosophic set plays a crucial role to handle indeterminant and inconsistent information during decision making process. In recent research, a development in neutrosophic theory is emerged, called single-valued neutrosophic matrices, are used to address uncertainties. The beauty of single-valued neutrosophic matrices is that the utilizing of several fruitful operations in decision making.
Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
On Studying Certain Fuzzy Neutrosophic Matrices and Operators
Author: R. Sophia Porchelvi
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
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.
On the Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations
Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 5
Book Description
The objective of this paper is to study the representation of neutrosophic matrices defined over a neutrosophic field by neutrosophic linear transformations between neutrosophic vector spaces, where it proves that every neutrosophic matrix can be represented uniquely by a neutrosophic linear transformation. Also, this work proves that every neutrosophic linear transformation must be an AH-linear transformation; i.e., it can be represented by classical linear transformations.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 5
Book Description
The objective of this paper is to study the representation of neutrosophic matrices defined over a neutrosophic field by neutrosophic linear transformations between neutrosophic vector spaces, where it proves that every neutrosophic matrix can be represented uniquely by a neutrosophic linear transformation. Also, this work proves that every neutrosophic linear transformation must be an AH-linear transformation; i.e., it can be represented by classical linear transformations.
Advances and Applications of Fuzzy Sets and Logic
Author: Said Broumi
Publisher: Engineering Science Reference
ISBN: 9781799879800
Category :
Languages : en
Pages :
Book Description
Publisher: Engineering Science Reference
ISBN: 9781799879800
Category :
Languages : en
Pages :
Book Description
DECOMPOSITION OF NEUTROSOPHIC FUZZY MATRICES
Author: P. Murugadas
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
Book Description
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
Book Description
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.
Neutrosophic Sets and Systems, Vol. III
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599732807
Category :
Languages : en
Pages : 78
Book Description
This volume is a collection of ten papers, written by different authors and co-authors (listed in the order of the papers): F. Yuhua, A. A. Salama, F. Smarandache, S. A. Alblowi, M. Ali, M. Shabir, M. Naz, A. A. A. Agboola, S. A. Akinleye, M. Dhar, S. Broumi, P. Biswas, S. Pramanik, B. C. Giri, H. A. El-Ghareeb, A. M. Maine, V. Kandasamy, P. Sekar and J. Vidhyalakshmi. In first paper, the author proposed Expanding Newton Mechanics with Neutrosophy and Quad-stage Method-New Newton Mechanics Taking Law of Conservation of Energy as Unique Source Law. The Characteristic Function of a Neutrosophic Set is proposed in the second paper. Neutrosophic Left Almost Semigroup is studied in third paper. In fourth paper Neutrosophic Hypercompositional Structures defined by Binary Relations are introduced. Similarly in fifth paper A Note on Square Neutrosophic Fuzzy Matrices are discussed. In paper six A New Methodology for Neutrosophic Multi-Attribute Decision-Making with Unknown Weight Information is presented by the authors. Introduction to Develop Some Software Programs for dealing with Neutrosophic Sets is given in seventh paper. Paper eight is about to Soft Neutrosophic Ring and Soft Neutrosophic Field. In the next paper Rough Neutrosophic Sets are discussed. The authors introduced new type of Fuzzy Relational Equations and Neutrosophic Relational Equations-To Analyze Customer Preference to street shops in the last paper.
Publisher: Infinite Study
ISBN: 1599732807
Category :
Languages : en
Pages : 78
Book Description
This volume is a collection of ten papers, written by different authors and co-authors (listed in the order of the papers): F. Yuhua, A. A. Salama, F. Smarandache, S. A. Alblowi, M. Ali, M. Shabir, M. Naz, A. A. A. Agboola, S. A. Akinleye, M. Dhar, S. Broumi, P. Biswas, S. Pramanik, B. C. Giri, H. A. El-Ghareeb, A. M. Maine, V. Kandasamy, P. Sekar and J. Vidhyalakshmi. In first paper, the author proposed Expanding Newton Mechanics with Neutrosophy and Quad-stage Method-New Newton Mechanics Taking Law of Conservation of Energy as Unique Source Law. The Characteristic Function of a Neutrosophic Set is proposed in the second paper. Neutrosophic Left Almost Semigroup is studied in third paper. In fourth paper Neutrosophic Hypercompositional Structures defined by Binary Relations are introduced. Similarly in fifth paper A Note on Square Neutrosophic Fuzzy Matrices are discussed. In paper six A New Methodology for Neutrosophic Multi-Attribute Decision-Making with Unknown Weight Information is presented by the authors. Introduction to Develop Some Software Programs for dealing with Neutrosophic Sets is given in seventh paper. Paper eight is about to Soft Neutrosophic Ring and Soft Neutrosophic Field. In the next paper Rough Neutrosophic Sets are discussed. The authors introduced new type of Fuzzy Relational Equations and Neutrosophic Relational Equations-To Analyze Customer Preference to street shops in the last paper.