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Author | A. Stern | |

ISBN-10 | 9781483295497 | |

Release | 2014-06-28 | |

Pages | 220 | |

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In this pioneering work, the author develops a fundamental formulation of logic in terms of theory of matrices and vector spaces. The discovery of matrix logic represents a landmark in the further formalization of logic. For the first time the power of direct mathematical computation is applied to the whole set of logic operations, allowing the derivation of both the classical and modal logics from the same formal base. The new formalism allows the author to enlarge the alphabet of the truth-values with negative logic antivalues and to link matrix logic descriptions with the Dirac formulation of quantum theory - a result having fundamental implications and repercussions for science as a whole. As a unified language which permits a logical examination of the underlying phenomena of quantum field theory and vice versa, matrix logic opens new avenues for the study of fundamental interactions and gives rise to a revolutionary conclusion that physics as such can be viewed and studied as a logic in the fundamental sense. Finally, modelling itself on exact sciences, matrix logic does not refute the classical logic but instead incorporates it as a special deterministic limit. The book requires multidisciplinary knowledge and will be of interest to physicists, mathematicians, computer scientists and engineers. |

Author | Oscar Castillo | |

ISBN-10 | 9783540762836 | |

Release | 2008-02-20 | |

Pages | 244 | |

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This book describes new methods for building intelligent systems using type-2 fuzzy logic and soft computing (SC) techniques. The authors extend the use of fuzzy logic to a higher order, which is called type-2 fuzzy logic. Combining type-2 fuzzy logic with traditional SC techniques, we can build powerful hybrid intelligent systems that can use the advantages that each technique offers. This book is intended to be a major reference tool and can be used as a textbook. |

Author | Melvin Fitting | |

ISBN-10 | 9783790817690 | |

Release | 2013-06-05 | |

Pages | 374 | |

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This volume represents the state of the art for much current research in many-valued logics. Primary researchers in the field are among the authors. Major methodological issues of many-valued logics are treated, as well as applications of many-valued logics to reasoning with fuzzy information. Areas covered include: Algebras of multiple valued logics and their applications, proof theory and automated deduction in multiple valued logics, fuzzy logics and their applications, and multiple valued logics for control theory and rational belief. |

Author | Daizhan Cheng | |

ISBN-10 | 9789814458016 | |

Release | 2012-05-31 | |

Pages | 612 | |

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A generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP), is proposed. It extends the CMP to two arbitrary matrices and maintains all fundamental properties of CMP. In addition, it has a pseudo-commutative property, which makes it more superior to CMP. The STP was proposed by the authors to deal with higher-dimensional data as well as multilinear mappings. After over a decade of development, STP has been proven to be a powerful tool in dealing with nonlinear and logical calculations. This book is a comprehensive introduction to the theory of STP and its various applications, including logical function, fuzzy control, Boolean networks, analysis and control of nonlinear systems, amongst others. Contents:Multi-Dimensional DataSemi-Tensor Product of MatricesMultilinear Mappings Among Vector SpacesRight and General Semi-Tensor ProductsRank, Pseudo-Inverse, and Positivity of STPMatrix Expression of LogicMix-Valued LogicLogical Matrix, Fuzzy Set and Fuzzy LogicFuzzy Relational EquationFuzzy Control with Coupled Fuzzy RelationsRepresentation of Boolean FunctionsDecomposition of Logical FunctionsBoolean CalculusLattice, Graph, and Universal AlgebraBoolean NetworkBoolean Control SystemGame TheoryMulti-Variable PolynomialsSome Applications to Differential Geometry and AlgebraMorgan's ProblemLinearization of Nonlinear Control SystemsStability Region of Dynamic Systems Readership: Graduates, researchers, scientists and engineers studying Semi-Tensor Product (STP). Keywords:Matrix;Logic;Fuzzy Control;Boolean Networks;Nonlinear ControlKey Features:STP is a newly developed tool, which have been successfully applied to several aspects such as the control of Boolean network, control of power systems, etc. It also has many other potential applicationsFirst book in English on this topic, which systematically introduces the theory and its various applicationsCan be treated as a textbook with its numerous examples and exercises for students. It is particularly suitable as a graduate textbook as well as for self-study and research referenceStandard reference of STP for scientists and engineersReviews: “This book gives a thorough introduction to the concept of the STP and its applications. The text is clearly presented and provided with numerous motivating and illustrating examples.” Zentralblatt MATH |

Author | Denis Serre | |

ISBN-10 | 1441976833 | |

Release | 2010-10-26 | |

Pages | 289 | |

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In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. Newly added topics include: • Dunford decomposition, • tensor and exterior calculus, polynomial identities, • regularity of eigenvalues for complex matrices, • functional calculus and the Dunford–Taylor formula, • numerical range, • Weyl's and von Neumann’s inequalities, and • Jacobi method with random choice. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the École Normale Supérieure de Lyon. |

Author | Adak, Amal Kumar | |

ISBN-10 | 9781522509158 | |

Release | 2016-11-17 | |

Pages | 375 | |

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The use of fuzzy logic has become prominent in a variety of fields and applications. By implementing these logic sets, problems and uncertainties are more effectively resolved. Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices is a pivotal reference source for the latest scholarly perspectives on the interdisciplinary use of fuzzy logic theory, focusing on the application of sets and matrices. Highlighting theoretical framework and empirical research findings, this book is ideally designed for academics, practitioners, upper-level students, and professionals interested in an innovative overview of fuzzy logic sets and matrices. |

Author | August Stern | |

ISBN-10 | UOM:39015028416652 | |

Release | 1992 | |

Pages | 290 | |

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In this revolutionary work, the author sets the stage for the science of the 21st Century, pursuing an unprecedented synthesis of fields previously considered unrelated. Beginning with simple classical concepts, he ends with a complex multidisciplinary theory requiring a high level of abstraction. The work progresses across the sciences in several multidisciplinary directions: Mathematical logic, fundamental physics, computer science and the theory of intelligence. Extraordinarily enough, the author breaks new ground in all these fields. In the field of fundamental physics the author reaches the revolutionary conclusion that physics can be viewed and studied as logic in a fundamental sense, as compared with Einstein's view of physics as space-time geometry. This opens new, exciting prospects for the study of fundamental interactions. A formulation of logic in terms of matrix operators and logic vector spaces allows the author to tackle for the first time the intractable problem of cognition in a scientific manner. In the same way as the findings of Heisenberg and Dirac in the 1930s provided a conceptual and mathematical foundation for quantum physics, matrix operator logic supports an important breakthrough in the study of the physics of the mind, which is interpreted as a fractal of quantum mechanics. Introducing a concept of logic quantum numbers, the author concludes that the problem of logic and the intelligence code in general can be effectively formulated as eigenvalue problems similar to those of theoretical physics. With this important leap forward in the study of the mechanism of mind, the author concludes that the latter cannot be fully understood either within classical or quantum notions. A higher-order covariant theory is required to accommodate the fundamental effect of high-level intelligence. The landmark results obtained by the author will have implications and repercussions for the very foundations of science as a whole. Moreover, Stern's Matrix Logic is suitable for a broad spectrum of practical applications in contemporary technologies. |

Author | Alexander Kulikov | |

ISBN-10 | 9783642207112 | |

Release | 2011-06-03 | |

Pages | 471 | |

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This book constitutes the proceedings of the 6th International Computer Science Symposium in Russia, CSR 2011, held in St. Petersburg, Russia, in June 2011. The 29 papers presented were carefully reviewed and selected from 76 submissions. The scope of topics of the symposium was quite broad and covered basically all areas of the foundations of theoretical computer science. |

Author | Timothy J. Ross | |

ISBN-10 | 9781119235842 | |

Release | 2016-09-20 | |

Pages | 584 | |

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The latest update on this popular textbook The importance of concepts and methods based on fuzzy logic and fuzzy set theory has been rapidly growing since the early 1990s and all the indications are that this trend will continue in the foreseeable future. Fuzzy Logic with Engineering Applications, Fourth Edition is a new edition of the popular textbook with 15% of new and updated material. Updates have been made to most of the chapters and each chapter now includes new end-of-chapter problems. Key features: New edition of the popular textbook with 15% of new and updated material. Includes new examples and end-of-chapter problems. Has been made more concise with the removal of out of date material. Covers applications of fuzzy logic to engineering and science. Accompanied by a website hosting a solutions manual and software. The book is essential reading for graduates and senior undergraduate students in civil, chemical, mechanical and electrical engineering as wells as researchers and practitioners working with fuzzy logic in industry. |

Author | W. B. Vasantha Kandasamy | |

ISBN-10 | 9781599733159 | |

Release | 2014-10-20 | |

Pages | 171 | |

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In this book authors for the first time introduce the notion of distance between any two m x n matrices. If the distance is 0 or m x n there is nothing interesting. |

Author | C. R. Bector | |

ISBN-10 | 9783540323716 | |

Release | 2006-05-18 | |

Pages | 236 | |

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Game theory has already proved its tremendous potential for con?ict resolution problems in the ?elds of Decision Theory and Economics. In the recent past, there have been attempts to extend the results of crisp game theory to those con?ict resolution problems which are fuzzy in nature e.g. Nishizaki and Sakawa [61] and references cited there in. These developments have lead to the emergence of a new area in the literature called fuzzy games. Another area in the fuzzy decision theory, which has been growing very fast is the area of fuzzy mathematical programming and its applications to various branches of sciences, Engineering and Management. In the crisp scenario, there exists a beautiful relationship between two person zero sum matrix game theory and duality in linear p- gramming. It is therefore natural to ask if something similar holds in the fuzzy scenario as well. This discussion essentially constitutes the core of our presentation. The objective of this book is to present a systematic and focussed study of the application of fuzzy sets to two very basic areas of decision theory, namely Mathematical Programming and Matrix Game Theory. |

Author | W. B. Vasantha Kandasamy | |

ISBN-10 | 9781599730035 | |

Release | 2006-01-01 | |

Pages | 304 | |

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This book introduces for the first time the notion of fuzzy interval matrices, fuzzy interval bimatrices, fuzzy interval n-matrices, neutrosophic interval matrices, neutrosophic interval bimatrices, neutrosophic interval n-matrices, fuzzy neutrosophic interval matrices and fuzzy neutrosophic interval n-matrices, where n >= 2.These new notions find their applications in FCInM, FRInM, FBAItM, NCInM, NCRInM and NRInM models, where n>=1.It is important to mention that these Fuzzy interval n-matrices and Fuzzy neutrosophic interval n-matrices will find their usage in Leontief economic models and Markov chains that have lots of industrial applications. |

Author | Parimal Pal Chaudhuri | |

ISBN-10 | 0818677171 | |

Release | 1997 | |

Pages | 364 | |

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CA and its applications: a brief survey; group CA characterization; Characterization of nongroup CA; CA as a universal pattern generator; CA-based error correcting code; Design of CA-based cipher system; Generation of hashing functions; CA-based testable logic synthesis; Theory and application of two-dimensional CA; Bibliography; Index. |

Author | Anna Frid | |

ISBN-10 | 9783642033506 | |

Release | 2009-07-28 | |

Pages | 369 | |

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This book constitutes the refereed proceedings of the Fourth International Computer Science Symposium in Russia, CSR 2009, held in Novosibirsk, Russia, August 18-23, 2009. The 29 revised papers presented together with 4 invited papers were carefully reviewed and selected from 66 submissions. All major areas in computer science are addressed. The theory track deals with algorithms, protocols, and data structures; complexity and cryptography; formal languages, automata and their applications to computer science; computational models and concepts; proof theory and applications of logic to computer science. |

Author | A. Stern | |

ISBN-10 | 9780080934136 | |

Release | 1992-02-12 | |

Pages | 290 | |

Download Link | Click Here |

In this revolutionary work, the author sets the stage for the science of the 21st Century, pursuing an unprecedented synthesis of fields previously considered unrelated. Beginning with simple classical concepts, he ends with a complex multidisciplinary theory requiring a high level of abstraction. The work progresses across the sciences in several multidisciplinary directions: Mathematical logic, fundamental physics, computer science and the theory of intelligence. Extraordinarily enough, the author breaks new ground in all these fields. In the field of fundamental physics the author reaches the revolutionary conclusion that physics can be viewed and studied as logic in a fundamental sense, as compared with Einstein's view of physics as space-time geometry. This opens new, exciting prospects for the study of fundamental interactions. A formulation of logic in terms of matrix operators and logic vector spaces allows the author to tackle for the first time the intractable problem of cognition in a scientific manner. In the same way as the findings of Heisenberg and Dirac in the 1930s provided a conceptual and mathematical foundation for quantum physics, matrix operator logic supports an important breakthrough in the study of the physics of the mind, which is interpreted as a fractal of quantum mechanics. Introducing a concept of logic quantum numbers, the author concludes that the problem of logic and the intelligence code in general can be effectively formulated as eigenvalue problems similar to those of theoretical physics. With this important leap forward in the study of the mechanism of mind, the author concludes that the latter cannot be fully understood either within classical or quantum notions. A higher-order covariant theory is required to accommodate the fundamental effect of high-level intelligence. The landmark results obtained by the author will have implications and repercussions for the very foundations of science as a whole. Moreover, Stern's Matrix Logic is suitable for a broad spectrum of practical applications in contemporary technologies. |

Author | Xian-Da Zhang | |

ISBN-10 | 9781108417419 | |

Release | 2017-10-05 | |

Pages | ||

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The theory, methods and applications of matrix analysis are presented here in a novel theoretical framework. |

Author | ||

ISBN-10 | 9781490110127 | |

Release | 2013-05-01 | |

Pages | 1037 | |

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Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Approximation Theory. The editors have built Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Approximation Theory in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/. |