Exploring The Algebraic Structures Of Q Complex Neutrosophic Soft Fields

Author : Mamika Ujianita Romdhini,Ashraf Al-Quran,Faisal Al-Sharqi,Mohammad K. Tahat,Abdalwali Lutfi
Publisher : Infinite Study
Page : 14 pages
File Size : 51,9 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields by Mamika Ujianita Romdhini,Ashraf Al-Quran,Faisal Al-Sharqi,Mohammad K. Tahat,Abdalwali Lutfi Pdf

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.

Author : Mumtaz Ali,Florentin Smarandache,Muhammad Shabir
Publisher : Infinite Study
Page : 128 pages
File Size : 48,5 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9781599733067

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Soft Neutrosophic Algebraic Structures and Their Generalization, Vol. 2 by Mumtaz Ali,Florentin Smarandache,Muhammad Shabir Pdf

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.

Author : Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Publisher : Infinite Study
Page : 16 pages
File Size : 41,6 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets by Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali Pdf

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.

Author : W. B. Vasantha Kandasamy
Publisher : Unknown
Page : 220 pages
File Size : 47,5 Mb
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 1461929997

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Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures by W. B. Vasantha Kandasamy Pdf

Author : Florentin Smarandache,Mumtaz Ali
Publisher : Infinite Study
Page : 128 pages
File Size : 53,8 Mb
Release : 2024-06-30
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 : Jana, Chiranjibe,Senapati, Tapan,Pal, Madhumangal
Publisher : IGI Global
Page : 439 pages
File Size : 46,6 Mb
Release : 2019-10-25
Category : Mathematics
ISBN : 9781799801924

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Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures by Jana, Chiranjibe,Senapati, Tapan,Pal, Madhumangal Pdf

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.

Author : FLORENTIN SMARANDACHE
Publisher : Infinite Study
Page : 15 pages
File Size : 53,9 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Probability, Set, And Logic (first version) by FLORENTIN SMARANDACHE Pdf

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.

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 157 pages
File Size : 54,7 Mb
Release : 2005
Category : Mathematics
ISBN : 9781599730806

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A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition) by Florentin Smarandache Pdf

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

Author : Haibin Wang,Florentin Smarandache,Rajshekhar Sunderraman,Yan-Qing Zhang
Publisher : Infinite Study
Page : 99 pages
File Size : 51,5 Mb
Release : 2005
Category : Mathematics
ISBN : 9781931233941

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Interval Neutrosophic Sets and Logic: Theory and Applications in Computing by Haibin Wang,Florentin Smarandache,Rajshekhar Sunderraman,Yan-Qing Zhang Pdf

This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 10 pages
File Size : 44,8 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 : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 149 pages
File Size : 54,7 Mb
Release : 2004-01-01
Category : Mathematics
ISBN : 9781931233873

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Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models by W. B. Vasantha Kandasamy,Florentin Smarandache Pdf

For the involvement of uncertainty of varying degrees, when the total of the membership degree exceeds one or less than one, then the newer mathematical paradigm shift, Fuzzy Theory proves appropriate.For the past two or three decades, Fuzzy Theory has become the potent tool to study and analyze uncertainty involved in all problems. But, many real world problems also abound with the concept of indeterminacy.In this book, the new, powerful tool of neutrosophy that deals with indeterminacy is utilized. Innovative neutrosophic models are described.The theory of neutrosophic graphs is introduced and applied to fuzzy and neutrosophic models.Neutrosophic Logic and Neutrosophic Set (generalizations of Intuitionistic Fuzzy Logic and Intuitionistic Fuzzy Set respectively) became strong tools for applications.

Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 213 pages
File Size : 40,5 Mb
Release : 2003-01-01
Category : Mathematics
ISBN : 9781931233767

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Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps by W. B. Vasantha Kandasamy,Florentin Smarandache Pdf

In a world of chaotic alignments, traditional logic with its strict boundaries of truth and falsity has not imbued itself with the capability of reflecting the reality. Despite various attempts to reorient logic, there has remained an essential need for an alternative system that could infuse into itself a representation of the real world. Out of this need arose the system of Neutrosophy (the philosophy of neutralities, introduced by FLORENTIN SMARANDACHE), and its connected logic Neutrosophic Logic, which is a further generalization of the theory of Fuzzy Logic. In this book we study the concepts of Fuzzy Cognitive Maps (FCMs) and their Neutrosophic analogue, the Neutrosophic Cognitive Maps (NCMs). Fuzzy Cognitive Maps are fuzzy structures that strongly resemble neural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Neutrosophic Cognitive Maps are generalizations of FCMs, and their unique feature is the ability to handle indeterminacy in relations between two concepts thereby bringing greater sensitivity into the results. Some of the varied applications of FCMs and NCMs which has been explained by us, in this book, include: modeling of supervisory systems; design of hybrid models for complex systems; mobile robots and in intimate technology such as office plants; analysis of business performance assessment; formalism debate and legal rules; creating metabolic and regulatory network models; traffic and transportation problems; medical diagnostics; simulation of strategic planning process in intelligent systems; specific language impairment; web-mining inference application; child labor problem; industrial relations: between employer and employee, maximizing production and profit; decision support in intelligent intrusion detection system; hyper-knowledge representation in strategy formation; female infanticide; depression in terminally ill patients and finally, in the theory of community mobilization and women empowerment relative to the AIDS epidemic.

Author : Florentin Smarandache
Publisher : Unknown
Page : 110 pages
File Size : 49,5 Mb
Release : 1998
Category : Mathematics
ISBN : STANFORD:36105112484626

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Neutrosophy by Florentin Smarandache Pdf

Author : Vasantha Kandasamy, Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 54,7 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9781599733623

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Neutrosophic Graphs: A New Dimension to Graph Theory by Vasantha Kandasamy, Ilanthenral K,Florentin Smarandache Pdf

Studies to neutrosophic graphs happens to be not only innovative and interesting, but gives a new dimension to graph theory. The classic coloring of edge problem happens to give various results. Neutrosophic tree will certainly find lots of applications in data mining when certain levels of indeterminacy is involved in the problem. Several open problems are suggested.

Author : Yingcang Ma ,Xiaohong Zhang ,Florentin Smarandache,Juanjuan Zhang
Publisher : Infinite Study
Page : 15 pages
File Size : 50,5 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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The Structure of Idempotents in Neutrosophic Rings and Neutrosophic Quadruple Rings by Yingcang Ma ,Xiaohong Zhang ,Florentin Smarandache,Juanjuan Zhang Pdf

This paper aims to reveal the structure of idempotents in neutrosophic rings and neutrosophic quadruple rings.