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| Author | : George Metcalfe |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 279 |
| Release | : 2008-11-27 |
| Genre | : Mathematics |
| ISBN | : 1402094094 |
Download Proof Theory for Fuzzy Logics Book in PDF, ePub and Kindle
Fuzzy logics are many-valued logics that are well suited to reasoning in the context of vagueness. They provide the basis for the wider field of Fuzzy Logic, encompassing diverse areas such as fuzzy control, fuzzy databases, and fuzzy mathematics. This book provides an accessible and up-to-date introduction to this fast-growing and increasingly popular area. It focuses in particular on the development and applications of "proof-theoretic" presentations of fuzzy logics; the result of more than ten years of intensive work by researchers in the area, including the authors. In addition to providing alternative elegant presentations of fuzzy logics, proof-theoretic methods are useful for addressing theoretical problems (including key standard completeness results) and developing efficient deduction and decision algorithms. Proof-theoretic presentations also place fuzzy logics in the broader landscape of non-classical logics, revealing deep relations with other logics studied in Computer Science, Mathematics, and Philosophy. The book builds methodically from the semantic origins of fuzzy logics to proof-theoretic presentations such as Hilbert and Gentzen systems, introducing both theoretical and practical applications of these presentations.
| Author | : Ofer Arieli |
| Publisher | : Springer Nature |
| Total Pages | : 369 |
| Release | : 2021-07-30 |
| Genre | : Philosophy |
| ISBN | : 3030712583 |
Download Arnon Avron on Semantics and Proof Theory of Non-Classical Logics Book in PDF, ePub and Kindle
This book is a collection of contributions honouring Arnon Avron’s seminal work on the semantics and proof theory of non-classical logics. It includes presentations of advanced work by some of the most esteemed scholars working on semantic and proof-theoretical aspects of computer science logic. Topics in this book include frameworks for paraconsistent reasoning, foundations of relevance logics, analysis and characterizations of modal logics and fuzzy logics, hypersequent calculi and their properties, non-deterministic semantics, algebraic structures for many-valued logics, and representations of the mechanization of mathematics. Avron’s foundational and pioneering contributions have been widely acknowledged and adopted by the scientific community. His research interests are very broad, spanning over proof theory, automated reasoning, non-classical logics, foundations of mathematics, and applications of logic in computer science and artificial intelligence. This is clearly reflected by the diversity of topics discussed in the chapters included in this book, all of which directly relate to Avron’s past and present works. This book is of interest to computer scientists and scholars of formal logic.
| Author | : Radim Bělohlávek |
| Publisher | : Oxford University Press |
| Total Pages | : 545 |
| Release | : 2017 |
| Genre | : Mathematics |
| ISBN | : 0190200014 |
Download Fuzzy Logic and Mathematics Book in PDF, ePub and Kindle
The main part of the book is a comprehensive overview of the development of fuzzy logic and its applications in various areas of human affair since its genesis in the mid 1960s. This overview is then employed for assessing the significance of fuzzy logic and mathematics based on fuzzy logic.
| Author | : George J. Klir |
| Publisher | : |
| Total Pages | : 574 |
| Release | : 2015 |
| Genre | : |
| ISBN | : 9789332549425 |
Download Fuzzy Sets and Fuzzy Logic Book in PDF, ePub and Kindle
| Author | : Petr Cintula |
| Publisher | : |
| Total Pages | : 384 |
| Release | : 2015-12-31 |
| Genre | : Mathematics |
| ISBN | : 9781848901933 |
Download Handbook of Mathematical Fuzzy Logic Book in PDF, ePub and Kindle
Originating as an attempt to provide solid logical foundations for fuzzy set theory, and motivated also by philosophical and computational problems of vagueness and imprecision, Mathematical Fuzzy Logic (MFL) has become a significant subfield of mathematical logic. Research in this area focuses on many-valued logics with linearly ordered truth values and has yielded elegant and deep mathematical theories and challenging problems, thus continuing to attract an ever increasing number of researchers. This handbook provides, through its several volumes, an up-to-date systematic presentation of the best-developed areas of MFL. Its intended audience is researchers working on MFL or related fields, that may use the text as a reference book, and anyone looking for a comprehensive introduction to MFL. This handbook will be useful not only for readers interested in pure mathematical logic, but also for those interested in logical foundations of fuzzy set theory or in a mathematical apparatus suitable for dealing with some philosophical and linguistic issues related to vagueness. This third volume starts with three chapters on semantics of fuzzy logics, namely, on the structure of linearly ordered algebras, on semantic games, and on Ulam-Renyi games; it continues with an introduction to fuzzy logics with evaluated syntax, a survey of fuzzy description logics, and a study of probability on MV-algebras; and it ends with a philosophical chapter on the role of fuzzy logics in theories of vagueness."
| Author | : Hung T. Nguyen |
| Publisher | : CRC Press |
| Total Pages | : 436 |
| Release | : 2005-10-06 |
| Genre | : Computers |
| ISBN | : 1420057103 |
Download A First Course in Fuzzy Logic Book in PDF, ePub and Kindle
A First Course in Fuzzy Logic, Third Edition continues to provide the ideal introduction to the theory and applications of fuzzy logic. This best-selling text provides a firm mathematical basis for the calculus of fuzzy concepts necessary for designing intelligent systems and a solid background for readers to pursue further studies and real-world a
| Author | : M. GANESH |
| Publisher | : PHI Learning Pvt. Ltd. |
| Total Pages | : 256 |
| Release | : 2006-01-01 |
| Genre | : Mathematics |
| ISBN | : 8120328612 |
Download INTRODUCTION TO FUZZY SETS AND FUZZY LOGIC Book in PDF, ePub and Kindle
Reflecting the tremendous advances that have taken place in the study of fuzzy set theory and fuzzy logic, this book not only details the theoretical advances in these areas, but also considers a broad variety of applications of fuzzy sets and fuzzy logic. This comprehensive and up-to-date text is organized in three parts. The concepts pertaining to the “crisp” situation such as Set Theory, Logic, Switching Function Theory and Boolean Algebra are covered in Part I of the text. Part II is devoted to fuzzy Set Theory, Fuzzy Relations and Fuzzy Logic. The applications of fuzzy set theory and fuzzy logic to Control Theory and Decision Making are designated Part III of the text. Designed as a textbook for the undergraduate and postgraduate students of Science and Engineering, the book will also be immensely useful to practicing engineers and computer scientists.
| Author | : Mihir Kumar Chakraborty |
| Publisher | : Springer |
| Total Pages | : 224 |
| Release | : 2019-07-22 |
| Genre | : Philosophy |
| ISBN | : 9811388962 |
Download Theory of Graded Consequence Book in PDF, ePub and Kindle
This book introduces the theory of graded consequence (GCT) and its mathematical formulation. It also compares the notion of graded consequence with other notions of consequence in fuzzy logics, and discusses possible applications of the theory in approximate reasoning and decision-support systems. One of the main points where this book emphasizes on is that GCT maintains the distinction between the three different levels of languages of a logic, namely object language, metalanguage and metametalanguage, and thus avoids the problem of violation of the principle of use and mention; it also shows, gathering evidences from existing fuzzy logics, that the problem of category mistake may arise as a result of not maintaining distinction between levels.
| Author | : Al'bert Grigor'evi_ Dragalin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 242 |
| Release | : 1988-12-31 |
| Genre | : Mathematics |
| ISBN | : 0821845209 |
Download Mathematical Intuitionism: Introduction to Proof Theory Book in PDF, ePub and Kindle
In the area of mathematical logic, a great deal of attention is now being devoted to the study of nonclassical logics. This book intends to present the most important methods of proof theory in intuitionistic logic and to acquaint the reader with the principal axiomatic theories based on intuitionistic logic.
| Author | : Jerry Mendel |
| Publisher | : John Wiley & Sons |
| Total Pages | : 470 |
| Release | : 2014-06-16 |
| Genre | : Technology & Engineering |
| ISBN | : 1118901444 |
Download Introduction To Type-2 Fuzzy Logic Control Book in PDF, ePub and Kindle
An introductory book that provides theoretical, practical, and application coverage of the emerging field of type-2 fuzzy logic control Until recently, little was known about type-2 fuzzy controllers due to the lack of basic calculation methods available for type-2 fuzzy sets and logic—and many different aspects of type-2 fuzzy control still needed to be investigated in order to advance this new and powerful technology. This self-contained reference covers everything readers need to know about the growing field. Written with an educational focus in mind, Introduction to Type-2 Fuzzy Logic Control: Theory and Applications uses a coherent structure and uniform mathematical notations to link chapters that are closely related, reflecting the book’s central themes: analysis and design of type-2 fuzzy control systems. The book includes worked examples, experiment and simulation results, and comprehensive reference materials. The book also offers downloadable computer programs from an associated website. Presented by world-class leaders in type-2 fuzzy logic control, Introduction to Type-2 Fuzzy Logic Control: Is useful for any technical person interested in learning type-2 fuzzy control theory and its applications Offers experiment and simulation results via downloadable computer programs Features type-2 fuzzy logic background chapters to make the book self-contained Provides an extensive literature survey on both fuzzy logic and related type-2 fuzzy control Introduction to Type-2 Fuzzy Logic Control is an easy-to-read reference book suitable for engineers, researchers, and graduate students who want to gain deep insight into type-2 fuzzy logic control.
