Exploring The Algebraic Structures Of Q Complex Neutrosophic Soft Fields


Exploring The Algebraic Structures Of Q Complex Neutrosophic Soft Fields
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Exploring The Algebraic Structures Of Q Complex Neutrosophic Soft Fields


Exploring The Algebraic Structures Of Q Complex Neutrosophic Soft Fields
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Author : Mamika Ujianita Romdhini
language : en
Publisher: Infinite Study
Release Date : 2023-01-01

Exploring The Algebraic Structures Of Q Complex Neutrosophic Soft Fields written by Mamika Ujianita Romdhini 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.


A field is a fundamental algebraic structure that finds extensive applications in algebra and various mathematical domains. On the other hand, a Q-complex neutrosophic soft set (Q-CNSS) is a unique hybrid model that combines the characteristics of soft sets and neutrosophic sets within a complex number framework. It utilizes the effectiveness of Q-set as a powerful tool in the domain of this particular model. In this article, we leverage this model to define fields under uncertainty. We present the Q-complex neutrosophic soft field (Q-CNSF) and examine the unique algebraic properties associated with this model. Additionally, we explore the relationships between Q-CNSF and Q-neutrosophic soft field (Q-NSF). Furthermore, we define the Cartesian product of QCNSFs and delve into the relevant properties. Through this comprehensive exploration, our aim is to enhance the understanding of Q-CNSFs and their properties, ultimately contributing to the field of algebraic analysis and its practical applications in handling uncertainty and vagueness.



Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets


Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
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Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets written by Florentin Smarandache 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.


Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, ,), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.



Soft Neutrosophic Algebraic Structures And Their Generalization Vol 2


Soft Neutrosophic Algebraic Structures And Their Generalization Vol 2
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Author : Mumtaz Ali
language : en
Publisher: Infinite Study
Release Date :

Soft Neutrosophic Algebraic Structures And Their Generalization Vol 2 written by Mumtaz Ali 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 book, the authors define several new types of soft neutrosophic algebraic structures over neutrosophic algebraic structures and we study their generalizations. These soft neutrosophic algebraic structures are basically parameterized collections of neutrosophic sub-algebraic structures of the neutrosophic algebraic structure. An important feature of this book is that the authors introduce the soft neutrosophic group ring, soft neutrosophic semigroup ring with its generalization, and soft mixed neutrosophic N-algebraic structure over neutrosophic group ring, then the neutrosophic semigroup ring and mixed neutrosophic N-algebraic structure respectively.



Handbook Of Research On Emerging Applications Of Fuzzy Algebraic Structures


Handbook Of Research On Emerging Applications Of Fuzzy Algebraic Structures
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Author : Jana, Chiranjibe
language : en
Publisher: IGI Global
Release Date : 2019-10-25

Handbook Of Research On Emerging Applications Of Fuzzy Algebraic Structures written by Jana, Chiranjibe and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-25 with Mathematics categories.


In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area of calculative methods. What many researchers and scientists overlook is how fuzzy theory can be applied to industries outside of arithmetic. The framework of fuzzy logic is much broader than professionals realize. There is a lack of research on the full potential this theoretical model can reach. The Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures provides emerging research exploring the theoretical and practical aspects of fuzzy set theory and its real-life applications within the fields of engineering and science. Featuring coverage on a broad range of topics such as complex systems, topological spaces, and linear transformations, this book is ideally designed for academicians, professionals, and students seeking current research on innovations in fuzzy logic in algebra and other matrices.



Some Neutrosophic Algebraic Structures And Neutrosophic N Algebraic Structures


Some Neutrosophic Algebraic Structures And Neutrosophic N Algebraic Structures
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2006-01-01

Some Neutrosophic Algebraic Structures And Neutrosophic N Algebraic Structures written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.


This book for the first time introduces neutrosophic groups, neutrosophic semigroups, neutrosophic loops and neutrosophic groupoids and their neutrosophic N-structures.The special feature of this book is that it tries to analyze when the general neutrosophic algebraic structures like loops, semigroups and groupoids satisfy some of the classical theorems for finite groups viz. Lagrange, Sylow, and Cauchy.This is mainly carried out to know more about these neutrosophic algebraic structures and their neutrosophic N-algebraic structures.



Some Neutrosophic Algebraic Structures And Neutrosophic N Algebraic Structures


Some Neutrosophic Algebraic Structures And Neutrosophic N Algebraic Structures
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Author : W. B. Vasantha Kandasamy
language : en
Publisher:
Release Date : 2014-05-14

Some Neutrosophic Algebraic Structures And Neutrosophic N Algebraic Structures written by W. B. Vasantha Kandasamy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.




Neutrosophic Sets And Systems Vol Iii


Neutrosophic Sets And Systems Vol Iii
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
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Neutrosophic Sets And Systems Vol Iii written by Florentin Smarandache 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.


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.



New Research On Neutrosophic Algebraic Structures


New Research On Neutrosophic Algebraic Structures
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Author : Mumtaz Ali
language : en
Publisher: Infinite Study
Release Date :

New Research On Neutrosophic Algebraic Structures written by Mumtaz Ali 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 book, we define several new neutrosophic algebraic structures and their related properties. The main focus of this book is to study the important class of neutrosophic rings such as neutrosophic LA-semigroup ring, neutrosophic loop ring, neutrosophic groupoid ring and so on. We also construct their generalization in each case to study these neutrosophic algebraic structures in a broader sense. The indeterminacy element “I“ gives rise to a bigger algebraic structure than the classical algebraic structures. It mainly classifies the algebraic structures in three categories such as: neutrosophic algebraic structures, strong neutrosophic algebraic structures, and classical algebraic structures respectively. This reveals the fact that a classic algebraic structure is a part of the neutrosophic algebraic structures. This opens a new way for the researcher to think in a broader way to visualize these vast neutrosophic algebraic structures.



Neutrosophic Probability Set And Logic First Version


Neutrosophic Probability Set And Logic First Version
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Author : FLORENTIN SMARANDACHE
language : en
Publisher: Infinite Study
Release Date :

Neutrosophic Probability Set And Logic First Version written by FLORENTIN SMARANDACHE 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.


This project is a part of a National Science Foundation interdisciplinary project proposal. Starting from a new viewpoint in philosophy, the neutrosophy, one extends the classical "probability theory", "fuzzy set" and "fuzzy logic" to , and respectively.



A Unifying Field In Logics Neutrosophic Logic Neutrosophy Neutrosophic Set Neutrosophic Probability Fourth Edition


A Unifying Field In Logics Neutrosophic Logic Neutrosophy Neutrosophic Set Neutrosophic Probability Fourth Edition
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2005

A Unifying Field In Logics Neutrosophic Logic Neutrosophy Neutrosophic Set Neutrosophic Probability Fourth Edition written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.


N-Norm and N-conorm are extended in Neutrosophic Logic/Set.