Download or read book Neutrosophic Linear Diophantine Equations With Two Variables written by Hasan Sankari and published by Infinite Study. This book was released on 2020-12-01 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is devoted to study for the first time the neutrosophic linear Diophantine equations with two variables in the neutrosophic ring of integers, and refined neutrosophic ring of integers. This work introduces an algorithm to solve the linear Diophantine equation.
Download or read book Neutrosophic Sets and Systems Vol 38 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.
Download or read book A Study of Systems of Neutrosophic Linear Equations written by Maissam Jdid and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operations research methods are among the modern scientific methods that have occupied a prominent place among the mathematical methods used in planning and managing various economic and military activities. They have been able to help specialists in developing ideal plans in terms of costs, production, storage, or investment of human energies. One of its most important methods is the method Linear programming, which was built based on the sets of linear equations that represent the constraints for any linear model. Based on the methods for solving the systems of linear equations, researchers were able to prepare algorithms for solving linear models, such as the direct Simplex algorithm and its modifications. After the emergence of neutrosophic science, we found that research methods had to be reformulated. Operations using the concepts of this science, and as a basis and foundation for neutrosophic linear programming. In this research, we will reformulate the systems of linear equations and some methods for solving them using the concepts of neutrosophic to be a basis for any study presented in the field of neutrosophic linear programming.
Download or read book A Study of Some Neutrosophic Differential Equations as a Direct Application of One Dimensional Geometric AH Isometry written by Ahmed A. Salama and published by Infinite Study. This book was released on 2022-01-01 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we use the one dimensional AH-isometry to find the structure of the solutions of many neutrosophic differential equations. These equations will be handled by the algebraic direct image of the neutrosophic AH-isometry taken in one dimension.
Download or read book Neutrosophic Sets and Systems Vol 40 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.
Download or read book Neutrosophic Sets and Systems Vol 39 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.
Download or read book International Journal of Neutrosophic Science IJNS Volume 14 2021 written by Broumi Said and published by Infinite Study. This book was released on with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications.
Download or read book On Some Algebraic Properties of n Refined Neutrosophic Elements and n Refined Neutrosophic Linear Equations written by Mohammad Abobala and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies the problem of determining invertible elements (units) in any n-refined neutrosophic ring. It presents the necessary and sufficient condition for any n-refined neutrosophic element to be invertible, idempotent, and nilpotent. Also, this work introduces some of the elementary algebraic properties of n-refined neutrosophic matrices with a direct application in solving n-refined neutrosophic algebraic equations.
Download or read book Recent Advantages In Neutrosophic Module Theory written by Rozina Ali and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is dedicated to give the interested reader a good review and background in recent developments in the field of neutrosophic algebraic module theory.
Download or read book The Effect of The Neutrosophic Logic on The Decision Tree written by Ahmed Hatip and published by Infinite Study. This book was released on with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we will present the neutrosophic decision-making mechanism which is an extension of the classical decision-making process by extending the data to include the indefinite cases that are ignored by classical logic and which, in fact, support the decision-making problem. This book consists of eight chapters. In the introductory part of the thesis, the historical development process of the neutrosophic structure theory is given. In the second part, the effect of the neutrosophic logic on the decision tree has been compiled. In the third chapter, the Prospector Neutro Function with their applications were studied. In the fourth chapter, the subject of Neutro ordered R-module and their properties is examined in detail. In the fifth chapter, the Fundamental Theorem in neutrosophic Euclidean Geometry is given. In the sixth chapter, the solutions of some Kandasamy-Smarandache problems about neutrosophic complex numbers and group of units' problem are given. In the seventh chapter, the algebraic creativity in the neutrosophic square matrices and the results are given with examples. Finally, in the eighth chapter, the results and suggestions obtained in the thesis are given.
Download or read book Neutrosophic Linear Equations and Application in Traf c Flow Problems written by Jun Ye and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: A neutrosophic number (NN) presented by Smarandache can express determinate and/or indeterminate information in real life.
Download or read book On Some Neutrosophic Algebraic Equations written by Mohammad Abobala and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is devoted to studying linear equations, and quadratic equations over a neutrosophic field 𝐹(𝐼) and refined neutrosophic field 𝐹(𝐼1,𝐼2). This work introduces a full description of the solution's algorithm in 𝐹(𝐼) and 𝐹(𝐼1,𝐼2), and discusses the solution's algorithm for a linear system of neutrosophic equations over 𝐹(𝐼) and 𝐹(𝐼1,𝐼2) for the first time.
Download or read book Neutrosophy written by Florentin Smarandache and published by . This book was released on 1998 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Pell and Pell Lucas Numbers with Applications written by Thomas Koshy and published by Springer. This book was released on 2014-11-11 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pell and Pell–Lucas numbers, like the well-known Fibonacci and Catalan numbers, continue to intrigue the mathematical world with their beauty and applicability. They offer opportunities for experimentation, exploration, conjecture, and problem-solving techniques, connecting the fields of analysis, geometry, trigonometry, and various areas of discrete mathematics, number theory, graph theory, linear algebra, and combinatorics. Pell and Pell–Lucas numbers belong to an extended Fibonacci family as a powerful tool for extracting numerous interesting properties of a vast array of number sequences. A key feature of this work is the historical flavor that is interwoven into the extensive and in-depth coverage of the subject. An interesting array of applications to combinatorics, graph theory, geometry, and intriguing mathematical puzzles is another highlight engaging the reader. The exposition is user-friendly, yet rigorous, so that a broad audience consisting of students, math teachers and instructors, computer scientists and other professionals, along with the mathematically curious will all benefit from this book. Finally, Pell and Pell–Lucas Numbers provides enjoyment and excitement while sharpening the reader’s mathematical skills involving pattern recognition, proof-and-problem-solving techniques.
Download or read book Interval Neutrosophic Sets and Logic Theory and Applications in Computing written by Haibin Wang and published by Infinite Study. This book was released on 2005 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Neutrosophic Rings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2006-01-01 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on algebraic structure of group rings is one of the leading, most sought-after topics in ring theory. The new class of neutrosophic rings defined in this book form a generalization of group rings and semigroup rings.The study of the classes of neutrosophic group neutrosophic rings and S-neutrosophic semigroup neutrosophic rings which form a type of generalization of group rings will throw light on group rings and semigroup rings which are essential substructures of them. A salient feature of this group is the many suggested problems on the new classes of neutrosophic rings, solutions of which will certainly develop some of the still open problems in group rings.Further, neutrosophic matrix rings find applications in neutrosophic models like Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM), Neutrosophic Bidirectional Memories (NBM) and so on.
Download or read book Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2004-01-01 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
