A New Perspective On Neutrosophic Differential Equation

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A New Perspective on Neutrosophic Differential Equation

Author : I. R. Sumathi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 4 pages
Book Rating : 4./5 ( download)

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Book Synopsis A New Perspective on Neutrosophic Differential Equation by : I. R. Sumathi

Download or read book A New Perspective on Neutrosophic Differential Equation written by I. R. Sumathi and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the Neutrosophic ordinary differential equation of first order via neutrosophic numbers is epitomized. We also intend to define the neutrosophic numbers and their (α, β, γ)-cut. Finally a numerical example is given to demonstrate its practicality and effectiveness of the differential equation involving neutrosophic numbers.

New approach on differential equation via trapezoidal neutrosophic number

Author : I. R. Sumathi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4./5 ( download)

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Book Synopsis New approach on differential equation via trapezoidal neutrosophic number by : I. R. Sumathi

Download or read book New approach on differential equation via trapezoidal neutrosophic number written by I. R. Sumathi and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Logic is a tool based on non-standard analysis to represent mathematical model of uncertainty, vagueness, ambiguity, incompleteness, and inconsistency. In Neutrosophic set, indeterminacy is quantified explicitly whereas the truth membership, indeterminacy membership, and falsity membership are independent. This plays a vital role in many situations whenwehandle inconsistent and incomplete information. In modeling problems, differential equations have major applications in the field of science and engineering and the study of differential equationwith uncertainty is one of emerging field of research. In this paper, the differential equations in neutrosophic environment are explored, also the solution of second-order linear differential equation with trapezoidal neutrosophic numbers as boundary conditions is discussed. Furthermore, the numerical example is given to demonstrate the solution with different values of (α, β, γ )-cut of trapezoidal neutrosophic number.

Neutrosophic Sets and Systems, vol. 51/2022

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 51/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 51/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-09-01 with total page 970 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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Neutrosophic Sets and Systems, Vol. 38, 2020

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 662 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 38, 2020 by : Florentin Smarandache

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.

Neutrosophic Sets and Systems, Vol. 46, 2021

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 487 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 46, 2021 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 46, 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-10-19 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on neutrosophic programming, neutrosophic hypersoft set, neutrosophic topological spaces, NeutroAlgebra, NeutroGeometry, AntiGeometry, NeutroNearRings, neutrosophic differential equations, etc.

Sumudu Transform for Solving Second Order Ordinary Differential Equation under Neutrosophic Initial Conditions

Author : Meghna Parikh
Publisher : Infinite Study
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4./5 ( download)

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Book Synopsis Sumudu Transform for Solving Second Order Ordinary Differential Equation under Neutrosophic Initial Conditions by : Meghna Parikh

Download or read book Sumudu Transform for Solving Second Order Ordinary Differential Equation under Neutrosophic Initial Conditions written by Meghna Parikh and published by Infinite Study. This book was released on 2020-12-01 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ordinary differential equation of second order is being used in many engineering disciplines and sciences to model many real-life problems. These problems are mostly uncertain, vague and incomplete and thus they require some more advanced tool for modelling. Neutrosophic logic becomes the solution of all these kind of uncertain problems as it describe the conditions of uncertainty which occurs during the process of modelling on the basis of grade of membership of truth values, indeterminacy values and falsity values, that means it consider all the uncertain parameters on the basis of these degrees. In this research paper, we have considered the ordinary differential equation of second order with neutrosophic numbers as initial conditions of spring mass system is solved using Sumudu transform method which has advantage of unit preserving property over the well established Laplace Transform method. The solution obtained at various computational points by this method is shown in the form of table. Furthermore, the results obtained at different (α, β, γ)-cut and time values are also depicted graphically and are verified analytically by de-fuzzifying the data.

Neutrosophic Operational Research

Author : Florentin Smarandache
Publisher : Springer Nature
ISBN 13 : 3030571971
Total Pages : 628 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Neutrosophic Operational Research by : Florentin Smarandache

Download or read book Neutrosophic Operational Research written by Florentin Smarandache and published by Springer Nature. This book was released on 2021-09-09 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses new concepts, methods, algorithms, modeling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, linear problems and new information related to optimization for the topic from the theoretical and applied viewpoints of neutrosophic sets and logic. The book is an innovatory of new tools and procedures, such as: Neutrosophic Statistical Tests and Dependent State Samplings, Neutrosophic Probabilistic Expert Systems, Neutrosophic HyperSoft Set, Quadripartitioned Neutrosophic Cross-Entropy, Octagonal and Spherical and Cubic Neutrosophic Numbers used in machine learning. It highlights the process of neutrosofication {which means to split the universe into three parts, two opposite ones (Truth and Falsehood), and an Indeterminate or neutral one (I) in between them}. It explains Three-Ways Decision, how the universe set is split into three different distinct areas, in regard to the decision process, representing: Acceptance, Noncommitment, and Rejection, respectively. The Three-Way Decision is used in the Neutrosophic Linguistic Rough Set, which has never been done before.

Trends in Theory and Practice of Nonlinear Differential Equations

Author : V. Lakshmikantham
Publisher : CRC Press
ISBN 13 : 9780824771300
Total Pages : 606 pages
Book Rating : 4.7/5 (713 download)

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Book Synopsis Trends in Theory and Practice of Nonlinear Differential Equations by : V. Lakshmikantham

Download or read book Trends in Theory and Practice of Nonlinear Differential Equations written by V. Lakshmikantham and published by CRC Press. This book was released on 1984-01-03 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the work of 91 distinguished mathematicians from 18 nations, this provocative volume provides new perspectives on the theory and practice of nonlinear differential equations. This practical resource stimulates interdisciplinary cooperation between mathematicians and applied scientists ... offers details of recent trends and new research results as well as broad surveys of important topics for a unified overview of the field and combines coverage of such diverse applications as biomathematics, heat transfer, frequency domain analysis of differential equations, and reaction-diffusion equations in a single source: With its wide ranging reports, Trends in Theory and Practice of Nonlinear Differential Equations serves as an advanced reference for applied mathematicians, electrical and mechanical engineers, researchers interested in such subjects as differential equations and dynamical systems, biomathematicfans, and physicists. Furthermore, the book encourages continuing research on theoretical and applied aspects of nonlinear differential equations.

Data-Driven Modelling with Fuzzy Sets

Author : Said Broumi
Publisher : CRC Press
ISBN 13 : 1040041582
Total Pages : 235 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Data-Driven Modelling with Fuzzy Sets by : Said Broumi

Download or read book Data-Driven Modelling with Fuzzy Sets written by Said Broumi and published by CRC Press. This book was released on 2024-07-03 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy sets have long been employed to handle imprecise and uncertain information in the real world, but their limitations in dealing with incomplete and inconsistent data led to the emergence of neutrosophic sets. In this thought-provoking book, titled Data-Driven Modelling with Fuzzy Sets: A Neutrosophic Perspective, the authors delve into the theories and extensive applications of neutrosophic sets, ranging from neutrosophic graphs to single-valued trapezoidal neutrosophic sets and their practical implications in knowledge management, including student learning assessment, academic performance evaluation, and technical article screening. This comprehensive resource is intended to benefit mathematicians, physicists, computer experts, engineers, scholars, practitioners, and students seeking to deepen their understanding of neutrosophic sets and their practical applications in diverse fields. This book comprises 11 chapters that provide a thorough examination of neutrosophic set theory and its extensions. Each chapter presents valuable insights into various aspects of data-driven modeling with neutrosophic sets and explores their applications in different domains. The book covers a wide range of topics. The specific topics covered in the book include neutrosophic submodules, applications of neutrosophic sets, solutions to differential equations with neutrosophic uncertainty, cardinalities of neutrosophic sets, neutrosophic cylindrical coordinates, applications to graphs and climatic analysis, neutrosophic differential equation approaches to growth models, neutrosophic aggregation operators for decision making, and similarity measures for Fermatean neutrosophic sets. The diverse contributions from experts in the field, coupled with the constructive feedback from reviewers, ensure the book's high quality and relevance. This book presents a qualitative assessment of big data in the education sector using linguistic quadripartitioned single-valued neutrosophic soft sets showcases application of n-cylindrical fuzzy neutrosophic sets in education using neutrosophic affinity degree and neutrosophic similarity index covers scientific evaluation of student academic performance using single-valued neutrosophic Markov chain illustrates multi-granulation single-valued neutrosophic probabilistic rough sets for teamwork assessment examines estimation of distribution algorithms based on multiple-attribute group decision-making to evaluate teaching quality With its wealth of knowledge, this book aims to inspire further research and innovation in the field of neutrosophic sets and their extensions, providing a valuable resource for scholars, practitioners, and students alike.

On the Stabilizability for a Class of Linear Time-Invariant Systems Under Uncertainty

Author : Nguyen Thi Kim Son
Publisher : Infinite Study
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4./5 ( download)

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Book Synopsis On the Stabilizability for a Class of Linear Time-Invariant Systems Under Uncertainty by : Nguyen Thi Kim Son

Download or read book On the Stabilizability for a Class of Linear Time-Invariant Systems Under Uncertainty written by Nguyen Thi Kim Son and published by Infinite Study. This book was released on with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: The uncertainty principle is one of themost important features in modeling and solving linear time-invariant (LTI) systems. The neutrality phenomena of some factors in real models have been widely recognized by engineers and scientists. The convenience and flexibility of neutrosophic theory in the description and differentiation of uncertainty terms make it take advantage of modeling and designing of control systems. This paper deals with the controllability and stabilizability of LTI systems containing neutrosophic uncertainty in the sense of both indeterminacy parameters and functional relationships.We define some properties and operators between neutrosophic numbers via horizontal membership function of a relative-distance-measure variable. Results on exponential matrices of neutrosophic numbers are well-defined with the notion et A deployed in a series of neutrosophic matrices. Moreover, we introduce the concepts of controllability and stabilizability of neutrosophic systems in the sense of Granular derivatives. Sufficient conditions to guarantee the controllability of neutrosophic LTI systems are established. Some numerical examples, related to RLC circuit and DC motor systems, are exhibited to illustrate the effectiveness of theoretical results.

Nonlinear Ordinary Differential Equations: Problems and Solutions

Author : Dominic Jordan
Publisher : OUP Oxford
ISBN 13 : 0191526401
Total Pages : 600 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Nonlinear Ordinary Differential Equations: Problems and Solutions by : Dominic Jordan

Download or read book Nonlinear Ordinary Differential Equations: Problems and Solutions written by Dominic Jordan and published by OUP Oxford. This book was released on 2007-08-23 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: An ideal companion to the new 4th Edition of Nonlinear Ordinary Differential Equations by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fully-worked solutions in nonlinear differential equations. With 272 figures and diagrams, subjects covered include phase diagrams in the plane, classification of equilibrium points, geometry of the phase plane, perturbation methods, forced oscillations, stability, Mathieu's equation, Liapunov methods, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's method. The problems are of variable difficulty; some are routine questions, others are longer and expand on concepts discussed in Nonlinear Ordinary Differential Equations 4th Edition, and in most cases can be adapted for coursework or self-study. Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.

Nonoscillation Theory of Functional Differential Equations with Applications

Author : Ravi P. Agarwal
Publisher : Springer Science & Business Media
ISBN 13 : 1461434556
Total Pages : 526 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Nonoscillation Theory of Functional Differential Equations with Applications by : Ravi P. Agarwal

Download or read book Nonoscillation Theory of Functional Differential Equations with Applications written by Ravi P. Agarwal and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays and equations with variable deviations of the argument. Each chapter includes an introduction and preliminaries, thus making it complete. Appendices at the end of the book cover reference material. Nonoscillation Theory of Functional Differential Equations with Applications is addressed to a wide audience of researchers in mathematics and practitioners.

Neutrosophic Sets and Systems, Vol. 47, 2021

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 652 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 47, 2021 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 47, 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-12-30 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on neutrosophic statistics, neutrosophic probability, plithogenic set, paradoxism, neutrosophic set, NeutroAlgebra, etc. and their applications.

Neutrosophic Sets and Systems, book series, Vol. 11, 2016

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599734672
Total Pages : 113 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Sets and Systems, book series, Vol. 11, 2016 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, book series, Vol. 11, 2016 written by Florentin Smarandache and published by Infinite Study. This book was released on 2016-06-01 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of fourteen papers, written by different authors and co-authors (listed in the order of the papers): N. Radwan, M. Badr Senousy, A. E. D. M. Riad, Chunfang Liu, YueSheng Luo, J. M. Jency, I. Arockiarani, P. P. Dey, S. Pramanik, B. C. Giri, N. Shah, A. Hussain, Gaurav, M. Kumar, K. Bhutani S. Aggarwal, V. Pătraşcu, F. Yuhua, S. Broumi, A. Bakali, M. Talea, F. Smarandache, M. Khan, S. Afzal, H. E. Khalid, M. A. Baset ,I. M. Hezam.

Neutrosophic Sets and Systems, vol. 11/2016

Author : N. Radwan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 113 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 11/2016 by : N. Radwan

Download or read book Neutrosophic Sets and Systems, vol. 11/2016 written by N. Radwan and published by Infinite Study. This book was released on with total page 113 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.

MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators

Author : Qaisar Khan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4./5 ( download)

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Book Synopsis MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators by : Qaisar Khan

Download or read book MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators written by Qaisar Khan and published by Infinite Study. This book was released on with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interval neutrosophic set (INS) can make it easier to articulate incomplete, indeterminate, and inconsistent information, and the Schweizer-Sklar (Sh-Sk) t-norm (tm) and tconorm (tcm) can make the information aggregation process more flexible due to a variable parameter.

Fuzzy Differential Equations in Various Approaches

Author : Luciana Takata Gomes
Publisher : Springer
ISBN 13 : 3319225758
Total Pages : 130 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Fuzzy Differential Equations in Various Approaches by : Luciana Takata Gomes

Download or read book Fuzzy Differential Equations in Various Approaches written by Luciana Takata Gomes and published by Springer. This book was released on 2015-09-07 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and metric spaces, this book moves on to an overview of fuzzy calculus thorough exposition and comparison of different approaches. Innovative theories of fuzzy calculus and fuzzy differential equations using fuzzy bunches of functions are introduced and explored. Launching with a brief review of essential theories, this book investigates both well-known and novel approaches in this field; such as the Hukuhara differentiability and its generalizations as well as differential inclusions and Zadeh’s extension. Through a unique analysis, results of all these theories are examined and compared.