A New View On Neutrosophic Matrix

Author : Banu Pazar Varol,Vildan Cetkin,Halis Aygun
Publisher : Infinite Study
Page : 10 pages
File Size : 50,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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A NEW VIEW ON NEUTROSOPHIC MATRIX by Banu Pazar Varol,Vildan Cetkin,Halis Aygun Pdf

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.

Author : BANU PAZAR VAROL ,VILDAN CETKIN ,HALIS AYGUN
Publisher : Infinite Study
Page : 10 pages
File Size : 47,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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A NEW VIEW ON NEUTROSOPHIC MATRIX by BANU PAZAR VAROL ,VILDAN CETKIN ,HALIS AYGUN Pdf

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.

Author : Faruk Karaaslan,Khizar Hayat
Publisher : Infinite Study
Page : 21 pages
File Size : 41,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Some new operations on single-valued neutrosophic matrices and their applications in multi-criteria group decision making by Faruk Karaaslan,Khizar Hayat Pdf

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.

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 293 pages
File Size : 46,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems Book Series, Vol. 30, 2019 by Florentin Smarandache,Mohamed Abdel-Basset Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Author : R. Sophia Porchelvi, V. Jayapriya
Publisher : Infinite Study
Page : 10 pages
File Size : 48,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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On Studying Certain Fuzzy Neutrosophic Matrices and Operators by R. Sophia Porchelvi, V. Jayapriya Pdf

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.

Author : Madhumangal Pal
Publisher : Springer Nature
Page : 494 pages
File Size : 51,7 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9783031569364

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Recent Developments of Fuzzy Matrix Theory and Applications by Madhumangal Pal Pdf

Author : Broumi, Said
Publisher : IGI Global
Page : 944 pages
File Size : 41,7 Mb
Release : 2022-03-04
Category : Mathematics
ISBN : 9781799879817

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Handbook of Research on Advances and Applications of Fuzzy Sets and Logic by Broumi, Said Pdf

Fuzzy logic, which is based on the concept of fuzzy set, has enabled scientists to create models under conditions of imprecision, vagueness, or both at once. As a result, it has now found many important applications in almost all sectors of human activity, becoming a complementary feature and supporter of probability theory, which is suitable for modelling situations of uncertainty derived from randomness. Fuzzy mathematics has also significantly developed at the theoretical level, providing important insights into branches of traditional mathematics like algebra, analysis, geometry, topology, and more. With such widespread applications, fuzzy sets and logic are an important area of focus in mathematics. The Handbook of Research on Advances and Applications of Fuzzy Sets and Logic studies recent theoretical advances of fuzzy sets and numbers, fuzzy systems, fuzzy logic and their generalizations, extensions, and more. This book also explores the applications of fuzzy sets and logic applied to science, technology, and everyday life to further provide research on the subject. This book is ideal for mathematicians, physicists, computer specialists, engineers, practitioners, researchers, academicians, and students who are looking to learn more about fuzzy sets, fuzzy logic, and their applications.

Author : Florentin Smarandache,Mumtaz Ali
Publisher : Infinite Study
Page : 128 pages
File Size : 50,5 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9781599732800

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Neutrosophic Sets and Systems, Vol. III by Florentin Smarandache,Mumtaz Ali Pdf

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.

Author : Fu Yuhua,A.A.Salama, Florentin Smarandache ,A.A.A.Agboola , S.A. Akinleye,Mamouni Dhar, Said Broumi ,Vasantha Kandasamy, Sekar. P and Vidhyalakshmi
Publisher : Infinite Study
Page : 76 pages
File Size : 41,5 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 3/2014 by Fu Yuhua,A.A.Salama, Florentin Smarandache ,A.A.A.Agboola , S.A. Akinleye,Mamouni Dhar, Said Broumi ,Vasantha Kandasamy, Sekar. P and Vidhyalakshmi Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Author : R.Uma,P. Murugadas, S. Sriram
Publisher : Infinite Study
Page : 18 pages
File Size : 46,9 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Determinant Theory for Fuzzy Neutrosophic Soft Matrices by R.Uma,P. Murugadas, S. Sriram Pdf

The complexity of problems in economics, engineering, environmental sciences and social sciences which cannot be solved by the well known methods of classical Mathematics pose a great difficulty in today’s practical world (as various types of uncertainties are presented in these problems).

Author : Mohammad Abobala
Publisher : Infinite Study
Page : 22 pages
File Size : 44,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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A Review On Recent Developments of Neutrosophic Matrix Theory and Open Problems by Mohammad Abobala Pdf

Author : Rakhal Das,Florentin Smarandache,Binod Chandra Tripathy
Publisher : Infinite Study
Page : 9 pages
File Size : 47,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Fuzzy Matrices and Some Algebraic Operations by Rakhal Das,Florentin Smarandache,Binod Chandra Tripathy Pdf

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.

Author : P. Murugadas,K. Balasubramaniyan,N. Vanmathi
Publisher : Infinite Study
Page : 11 pages
File Size : 50,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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DECOMPOSITION OF NEUTROSOPHIC FUZZY MATRICES by P. Murugadas,K. Balasubramaniyan,N. Vanmathi Pdf

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.

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 10 pages
File Size : 53,8 Mb
Release : 2010-08-23
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set by Florentin Smarandache Pdf

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.

Author : Sujit Das ,Saurabh Kumar,Samarjit Kar, Tandra Pal
Publisher : Infinite Study
Page : 10 pages
File Size : 48,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Group decision making using neutrosophic soft matrix: An algorithmic approach by Sujit Das ,Saurabh Kumar,Samarjit Kar, Tandra Pal Pdf

This article proposes an algorithmic approach for group decision making (GDM) problems using neutrosophic soft matrix (NSM) and relative weights of experts. NSM is the matrix representation of neutrosophic soft sets (NSSs), where NSS is the combination of neutrosophic set and soft set. We propose a new idea for assigning relative weights to the experts based on cardinalities of NSSs. The relative weight is assigned to each of the experts based on their preferred attributes and opinions, which reduces the chance of unfairness in the decision making process. Firstly we introduce choice matrix and combined choice matrix using neutrosophic sets. Multiplying combined choice matrices with the individual NSMs, this study develops product NSMs, which are aggregated to find out the collective NSM. Then neutrosophic cross-entropy measure is used to rank the alternatives and for selecting the most desirable one (s). This study also provides a comparative analysis of the proposed weight based approach with the normal procedure, where weight is not considered. Finally, a case study illustrates the applicability of the proposed approach.