Handbook Of Mathematical Fuzzy Logic

Download Handbook Of Mathematical Fuzzy Logic full books in PDF, epub, and Kindle. Read online Handbook Of Mathematical Fuzzy Logic ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Handbook of Mathematical Fuzzy Logic

Author : Petr Cintula
Publisher :
ISBN 13 : 9781848901933
Total Pages : 384 pages
Book Rating : 4.9/5 (19 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Mathematical Fuzzy Logic by : Petr Cintula

Download or read book Handbook of Mathematical Fuzzy Logic written by Petr Cintula and published by . This book was released on 2015-12-31 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Mathematics of Fuzzy Sets

Author : Ulrich Höhle
Publisher : Springer Science & Business Media
ISBN 13 : 1461550793
Total Pages : 722 pages
Book Rating : 4.4/5 (615 download)

DOWNLOAD NOW!

Book Synopsis Mathematics of Fuzzy Sets by : Ulrich Höhle

Download or read book Mathematics of Fuzzy Sets written by Ulrich Höhle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzzy sets. Much of this book is new material required to standardize this mathematics, making this volume a reference tool with broad appeal as well as a platform for future research. Fourteen chapters are organized into three parts: mathematical logic and foundations (Chapters 1-2), general topology (Chapters 3-10), and measure and probability theory (Chapters 11-14). Chapter 1 deals with non-classical logics and their syntactic and semantic foundations. Chapter 2 details the lattice-theoretic foundations of image and preimage powerset operators. Chapters 3 and 4 lay down the axiomatic and categorical foundations of general topology using lattice-valued mappings as a fundamental tool. Chapter 3 focuses on the fixed-basis case, including a convergence theory demonstrating the utility of the underlying axioms. Chapter 4 focuses on the more general variable-basis case, providing a categorical unification of locales, fixed-basis topological spaces, and variable-basis compactifications. Chapter 5 relates lattice-valued topologies to probabilistic topological spaces and fuzzy neighborhood spaces. Chapter 6 investigates the important role of separation axioms in lattice-valued topology from the perspective of space embedding and mapping extension problems, while Chapter 7 examines separation axioms from the perspective of Stone-Cech-compactification and Stone-representation theorems. Chapters 8 and 9 introduce the most important concepts and properties of uniformities, including the covering and entourage approaches and the basic theory of precompact or complete [0,1]-valued uniform spaces. Chapter 10 sets out the algebraic, topological, and uniform structures of the fundamentally important fuzzy real line and fuzzy unit interval. Chapter 11 lays the foundations of generalized measure theory and representation by Markov kernels. Chapter 12 develops the important theory of conditioning operators with applications to measure-free conditioning. Chapter 13 presents elements of pseudo-analysis with applications to the Hamilton–Jacobi equation and optimization problems. Chapter 14 surveys briefly the fundamentals of fuzzy random variables which are [0,1]-valued interpretations of random sets.

Handbook of Mathematics and Computational Science

Author : John W. Harris
Publisher : Springer Science & Business Media
ISBN 13 : 9780387947464
Total Pages : 1064 pages
Book Rating : 4.9/5 (474 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Mathematics and Computational Science by : John W. Harris

Download or read book Handbook of Mathematics and Computational Science written by John W. Harris and published by Springer Science & Business Media. This book was released on 1998-07-23 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers thousands of up-to-date equations, formulas, tables, illustrations, and explanations into one invaluable volume. It includes over a thousand pages of mathematical material as well as chapters on probability, mathematical statistics, fuzzy logic, and neural networks. It also contains computer language overviews of C, Fortran, and Pascal.

Mathematics of Fuzzy Sets and Fuzzy Logic

Author : Barnabas Bede
Publisher : Springer
ISBN 13 : 3642352219
Total Pages : 281 pages
Book Rating : 4.6/5 (423 download)

DOWNLOAD NOW!

Book Synopsis Mathematics of Fuzzy Sets and Fuzzy Logic by : Barnabas Bede

Download or read book Mathematics of Fuzzy Sets and Fuzzy Logic written by Barnabas Bede and published by Springer. This book was released on 2012-12-14 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a mathematically-based introduction into the fascinating topic of Fuzzy Sets and Fuzzy Logic and might be used as textbook at both undergraduate and graduate levels and also as reference guide for mathematician, scientists or engineers who would like to get an insight into Fuzzy Logic. Fuzzy Sets have been introduced by Lotfi Zadeh in 1965 and since then, they have been used in many applications. As a consequence, there is a vast literature on the practical applications of fuzzy sets, while theory has a more modest coverage. The main purpose of the present book is to reduce this gap by providing a theoretical introduction into Fuzzy Sets based on Mathematical Analysis and Approximation Theory. Well-known applications, as for example fuzzy control, are also discussed in this book and placed on new ground, a theoretical foundation. Moreover, a few advanced chapters and several new results are included. These comprise, among others, a new systematic and constructive approach for fuzzy inference systems of Mamdani and Takagi-Sugeno types, that investigates their approximation capability by providing new error estimates.

Fuzzy Logic and Mathematics

Author : Radim Bělohlávek
Publisher : Oxford University Press
ISBN 13 : 0190200014
Total Pages : 545 pages
Book Rating : 4.1/5 (92 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Logic and Mathematics by : Radim Bělohlávek

Download or read book Fuzzy Logic and Mathematics written by Radim Bělohlávek and published by Oxford University Press. This book was released on 2017 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Petr Hájek on Mathematical Fuzzy Logic

Author : Franco Montagna
Publisher : Springer
ISBN 13 : 3319062336
Total Pages : 318 pages
Book Rating : 4.3/5 (19 download)

DOWNLOAD NOW!

Book Synopsis Petr Hájek on Mathematical Fuzzy Logic by : Franco Montagna

Download or read book Petr Hájek on Mathematical Fuzzy Logic written by Franco Montagna and published by Springer. This book was released on 2014-09-23 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume celebrates the work of Petr Hájek on mathematical fuzzy logic and presents how his efforts have influenced prominent logicians who are continuing his work. The book opens with a discussion on Hájek's contribution to mathematical fuzzy logic and with a scientific biography of him, progresses to include two articles with a foundation flavour, that demonstrate some important aspects of Hájek's production, namely, a paper on the development of fuzzy sets and another paper on some fuzzy versions of set theory and arithmetic. Articles in the volume also focus on the treatment of vagueness, building connections between Hájek's favorite fuzzy logic and linguistic models of vagueness. Other articles introduce alternative notions of consequence relation, namely, the preservation of truth degrees, which is discussed in a general context, and the differential semantics. For the latter, a surprisingly strong standard completeness theorem is proved. Another contribution also looks at two principles valid in classical logic and characterize the three main t-norm logics in terms of these principles. Other articles, with an algebraic flavour, offer a summary of the applications of lattice ordered-groups to many-valued logic and to quantum logic, as well as an investigation of prelinearity in varieties of pointed lattice ordered algebras that satisfy a weak form of distributivity and have a very weak implication. The last part of the volume contains an article on possibilistic modal logics defined over MTL chains, a topic that Hájek discussed in his celebrated work, Metamathematics of Fuzzy Logic, and another one where the authors, besides offering unexpected premises such as proposing to call Hájek's basic fuzzy logic HL, instead of BL, propose a very weak system, called SL as a candidate for the role of the really basic fuzzy logic. The paper also provides a generalization of the prelinearity axiom, which was investigated by Hájek in the context of fuzzy logic.

Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures

Author : Jana, Chiranjibe
Publisher : IGI Global
ISBN 13 : 1799801926
Total Pages : 439 pages
Book Rating : 4.7/5 (998 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures by : Jana, Chiranjibe

Download or read book Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures written by Jana, Chiranjibe and published by IGI Global. This book was released on 2019-10-25 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Fuzzy Computation

Author : E Ruspini
Publisher : CRC Press
ISBN 13 : 1420050397
Total Pages : 1229 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Fuzzy Computation by : E Ruspini

Download or read book Handbook of Fuzzy Computation written by E Ruspini and published by CRC Press. This book was released on 2020-03-05 with total page 1229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Initially conceived as a methodology for the representation and manipulation of imprecise and vague information, fuzzy computation has found wide use in problems that fall well beyond its originally intended scope of application. Many scientists and engineers now use the paradigms of fuzzy computation to tackle problems that are either intractable

Fuzzy Sets and Fuzzy Logic

Author : George J. Klir
Publisher :
ISBN 13 : 9789332549425
Total Pages : 574 pages
Book Rating : 4.5/5 (494 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Sets and Fuzzy Logic by : George J. Klir

Download or read book Fuzzy Sets and Fuzzy Logic written by George J. Klir and published by . This book was released on 2015 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Research on Advances and Applications of Fuzzy Sets and Logic

Author : Broumi, Said
Publisher : IGI Global
ISBN 13 : 179987981X
Total Pages : 944 pages
Book Rating : 4.7/5 (998 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Research on Advances and Applications of Fuzzy Sets and Logic by : Broumi, Said

Download or read book Handbook of Research on Advances and Applications of Fuzzy Sets and Logic written by Broumi, Said and published by IGI Global. This book was released on 2022-03-04 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy logic, which is based on the concept of fuzzy set, has enabled scientists to create models under conditions of imprecision, vagueness, or both at once. As a result, it has now found many important applications in almost all sectors of human activity, becoming a complementary feature and supporter of probability theory, which is suitable for modelling situations of uncertainty derived from randomness. Fuzzy mathematics has also significantly developed at the theoretical level, providing important insights into branches of traditional mathematics like algebra, analysis, geometry, topology, and more. With such widespread applications, fuzzy sets and logic are an important area of focus in mathematics. The Handbook of Research on Advances and Applications of Fuzzy Sets and Logic studies recent theoretical advances of fuzzy sets and numbers, fuzzy systems, fuzzy logic and their generalizations, extensions, and more. This book also explores the applications of fuzzy sets and logic applied to science, technology, and everyday life to further provide research on the subject. This book is ideal for mathematicians, physicists, computer specialists, engineers, practitioners, researchers, academicians, and students who are looking to learn more about fuzzy sets, fuzzy logic, and their applications.

Non-Classical Logics and their Applications to Fuzzy Subsets

Author : Ulrich Höhle
Publisher : Springer Science & Business Media
ISBN 13 : 9401102155
Total Pages : 391 pages
Book Rating : 4.4/5 (11 download)

DOWNLOAD NOW!

Book Synopsis Non-Classical Logics and their Applications to Fuzzy Subsets by : Ulrich Höhle

Download or read book Non-Classical Logics and their Applications to Fuzzy Subsets written by Ulrich Höhle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Classical Logics and their Applications to Fuzzy Subsets is the first major work devoted to a careful study of various relations between non-classical logics and fuzzy sets. This volume is indispensable for all those who are interested in a deeper understanding of the mathematical foundations of fuzzy set theory, particularly in intuitionistic logic, Lukasiewicz logic, monoidal logic, fuzzy logic and topos-like categories. The tutorial nature of the longer chapters, the comprehensive bibliography and index make it suitable as a valuable and important reference for graduate students as well as research workers in the field of non-classical logics. The book is arranged in three parts: Part A presents the most recent developments in the theory of Heyting algebras, MV-algebras, quantales and GL-monoids. Part B gives a coherent and current account of topos-like categories for fuzzy set theory based on Heyting algebra valued sets, quantal sets of M-valued sets. Part C addresses general aspects of non-classical logics including epistemological problems as well as recursive properties of fuzzy logic.

Introduction to Fuzzy Logic

Author : James K. Peckol
Publisher : John Wiley & Sons
ISBN 13 : 1119772613
Total Pages : 308 pages
Book Rating : 4.1/5 (197 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Fuzzy Logic by : James K. Peckol

Download or read book Introduction to Fuzzy Logic written by James K. Peckol and published by John Wiley & Sons. This book was released on 2021-08-02 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn more about the history, foundations, and applications of fuzzy logic in this comprehensive resource by an academic leader Introduction to Fuzzy Logic delivers a high-level but accessible introduction to the rapidly growing and evolving field of fuzzy logic and its applications. Distinguished engineer, academic, and author James K. Peckol covers a wide variety of practical topics, including the differences between crisp and fuzzy logic, the people and professions who find fuzzy logic useful, and the advantages of using fuzzy logic. While the book assumes a solid foundation in embedded systems, including basic logic design, and C/C++ programming, it is written in a practical and easy-to-read style that engages the reader and assists in learning and retention. The author includes introductions of threshold and perceptron logic to further enhance the applicability of the material contained within. After introducing readers to the topic with a brief description of the history and development of the field, Introduction to Fuzzy Logic goes on to discuss a wide variety of foundational and advanced topics, like: A review of Boolean algebra, including logic minimization with algebraic means and Karnaugh maps A discussion of crisp sets, including classic set membership, set theory and operations, and basic classical crisp set properties A discussion of fuzzy sets, including the foundations of fuzzy sets logic, set membership functions, and fuzzy set properties An analysis of fuzzy inference and approximate reasoning, along with the concepts of containment and entailment and relations between fuzzy subsets Perfect for mid-level and upper-level undergraduate and graduate students in electrical, mechanical, and computer engineering courses, Introduction to Fuzzy Logic covers topics included in many artificial intelligence, computational intelligence, and soft computing courses. Math students and professionals in a wide variety of fields will also significantly benefit from the material covered in this book.

Fuzzy Sets, Fuzzy Logic, Applications

Author : George Bojadziev
Publisher : World Scientific
ISBN 13 : 9789810226060
Total Pages : 304 pages
Book Rating : 4.2/5 (26 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Sets, Fuzzy Logic, Applications by : George Bojadziev

Download or read book Fuzzy Sets, Fuzzy Logic, Applications written by George Bojadziev and published by World Scientific. This book was released on 1995 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy sets and fuzzy logic are powerful mathematical tools for modeling and controlling uncertain systems in industry, humanity, and nature; they are facilitators for approximate reasoning in decision making in the absence of complete and precise information. Their role is significant when applied to complex phenomena not easily described by traditional mathematics.The unique feature of the book is twofold: 1) It is the first introductory course (with examples and exercises) which brings in a systematic way fuzzy sets and fuzzy logic into the educational university and college system. 2) It is designed to serve as a basic text for introducing engineers and scientists from various fields to the theory of fuzzy sets and fuzzy logic, thus enabling them to initiate projects and make applications.

Mathematical Principles of Fuzzy Logic

Author : Vilém Novák
Publisher : Springer Science & Business Media
ISBN 13 : 1461552176
Total Pages : 327 pages
Book Rating : 4.4/5 (615 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Principles of Fuzzy Logic by : Vilém Novák

Download or read book Mathematical Principles of Fuzzy Logic written by Vilém Novák and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Principles of Fuzzy Logic provides a systematic study of the formal theory of fuzzy logic. The book is based on logical formalism demonstrating that fuzzy logic is a well-developed logical theory. It includes the theory of functional systems in fuzzy logic, providing an explanation of what can be represented, and how, by formulas of fuzzy logic calculi. It also presents a more general interpretation of fuzzy logic within the environment of other proper categories of fuzzy sets stemming either from the topos theory, or even generalizing the latter. This book presents fuzzy logic as the mathematical theory of vagueness as well as the theory of commonsense human reasoning, based on the use of natural language, the distinguishing feature of which is the vagueness of its semantics.

Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems

Author : Lotfi Asker Zadeh
Publisher : World Scientific
ISBN 13 : 9789810224219
Total Pages : 848 pages
Book Rating : 4.2/5 (242 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems by : Lotfi Asker Zadeh

Download or read book Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems written by Lotfi Asker Zadeh and published by World Scientific. This book was released on 1996 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of selected papers written by the founder of fuzzy set theory, Lotfi A Zadeh. Since Zadeh is not only the founder of this field, but has also been the principal contributor to its development over the last 30 years, the papers contain virtually all the major ideas in fuzzy set theory, fuzzy logic, and fuzzy systems in their historical context. Many of the ideas presented in the papers are still open to further development. The book is thus an important resource for anyone interested in the areas of fuzzy set theory, fuzzy logic, and fuzzy systems, as well as their applications. Moreover, the book is also intended to play a useful role in higher education, as a rich source of supplementary reading in relevant courses and seminars.The book contains a bibliography of all papers published by Zadeh in the period 1949-1995. It also contains an introduction that traces the development of Zadeh's ideas pertaining to fuzzy sets, fuzzy logic, and fuzzy systems via his papers. The ideas range from his 1965 seminal idea of the concept of a fuzzy set to ideas reflecting his current interest in computing with words ? a computing in which linguistic expressions are used in place of numbers.Places in the papers, where each idea is presented can easily be found by the reader via the Subject Index.

Fuzzy Logic

Author : G. Gerla
Publisher : Springer Science & Business Media
ISBN 13 : 9401596603
Total Pages : 276 pages
Book Rating : 4.4/5 (15 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Logic by : G. Gerla

Download or read book Fuzzy Logic written by G. Gerla and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy logic in narrow sense is a promising new chapter of formal logic whose basic ideas were formulated by Lotfi Zadeh (see Zadeh [1975]a). The aim of this theory is to formalize the "approximate reasoning" we use in everyday life, the object of investigation being the human aptitude to manage vague properties (as, for example, "beautiful", "small", "plausible", "believable", etc. ) that by their own nature can be satisfied to a degree different from 0 (false) and I (true). It is worth noting that the traditional deductive framework in many-valued logic is different from the one adopted in this book for fuzzy logic: in the former logics one always uses a "crisp" deduction apparatus, producing crisp sets of formulas, the formulas that are considered logically valid. By contrast, fuzzy logical deductive machinery is devised to produce a fuzzy set of formulas (the theorems) from a fuzzy set of formulas (the hypotheses). Approximate reasoning has generated a very interesting literature in recent years. However, in spite of several basic results, in our opinion, we are still far from a satisfactory setting of this very hard and mysterious subject. The aim of this book is to furnish some theoretical devices and to sketch a general framework for fuzzy logic. This is also in accordance with the non Fregean attitude of the book.

Springer Handbook of Computational Intelligence

Author : Janusz Kacprzyk
Publisher : Springer
ISBN 13 : 3662435055
Total Pages : 1634 pages
Book Rating : 4.6/5 (624 download)

DOWNLOAD NOW!

Book Synopsis Springer Handbook of Computational Intelligence by : Janusz Kacprzyk

Download or read book Springer Handbook of Computational Intelligence written by Janusz Kacprzyk and published by Springer. This book was released on 2015-05-28 with total page 1634 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Springer Handbook for Computational Intelligence is the first book covering the basics, the state-of-the-art and important applications of the dynamic and rapidly expanding discipline of computational intelligence. This comprehensive handbook makes readers familiar with a broad spectrum of approaches to solve various problems in science and technology. Possible approaches include, for example, those being inspired by biology, living organisms and animate systems. Content is organized in seven parts: foundations; fuzzy logic; rough sets; evolutionary computation; neural networks; swarm intelligence and hybrid computational intelligence systems. Each Part is supervised by its own Part Editor(s) so that high-quality content as well as completeness are assured.