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Theory of Fuzzy Computation

Theory of Fuzzy Computation
Author: Apostolos Syropoulos
Publisher: Springer Science & Business Media
Total Pages: 170
Release: 2013-10-23
Genre: Mathematics
ISBN: 1461483794

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The book provides the first full length exploration of fuzzy computability. It describes the notion of fuzziness and present the foundation of computability theory. It then presents the various approaches to fuzzy computability. This text provides a glimpse into the different approaches in this area, which is important for researchers in order to have a clear view of the field. It contains a detailed literature review and the author includes all proofs to make the presentation accessible. Ideas for future research and explorations are also provided. Students and researchers in computer science and mathematics will benefit from this work.​


Fuzzy Logic And Soft Computing

Fuzzy Logic And Soft Computing
Author: Bernadette Bouchon-meunier
Publisher: World Scientific
Total Pages: 509
Release: 1995-09-15
Genre: Computers
ISBN: 9814500089

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Soft computing is a new, emerging discipline rooted in a group of technologies that aim to exploit the tolerance for imprecision and uncertainty in achieving solutions to complex problems. The principal components of soft computing are fuzzy logic, neurocomputing, genetic algorithms and probabilistic reasoning.This volume is a collection of up-to-date articles giving a snapshot of the current state of the field. It covers the whole expanse, from theoretical foundations to applications. The contributors are among the world leaders in the field.


First Course on Fuzzy Theory and Applications

First Course on Fuzzy Theory and Applications
Author: Kwang Hyung Lee
Publisher: Springer Science & Business Media
Total Pages: 341
Release: 2006-11-30
Genre: Computers
ISBN: 354032366X

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Fuzzy theory has become a subject that generates much interest among the courses for graduate students. However, it was not easy to find a suitable textbook to use in the introductory course and to recommend to the students who want to self-study. The main purpose of this book is just to meet that need. The author has given lectures on the fuzzy theory and its applications for ten years and continuously developed lecture notes on the subject. This book is a publication of the modification and summary of the lecture notes. The fundamental idea of the book is to provide basic and concrete concepts of the fuzzy theory and its applications, and thus the author focused on easy illustrations of the basic concepts. There are numerous examples and figures to help readers to understand and also added exercises at the end of each chapter. This book consists of two parts: a theory part and an application part. The first part (theory part) includes chapters from 1 to 8. Chapters 1 and 2 introduce basic concepts of fuzzy sets and operations, and Chapters 3 and 4 deal with the multi-dimensional fuzzy sets. Chapters 5 and 6 are extensions of the fuzzy theory to the number and function, and Chapters 7 and 8 are developments of fuzzy properties on the probability and logic theories.


Fuzzy Systems Theory and Its Applications

Fuzzy Systems Theory and Its Applications
Author: Toshirō Terano
Publisher: Elsevier
Total Pages: 268
Release: 1992
Genre: Fuzzy sets.
ISBN: 9780126852455

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Computing Methodologies -- Pattern Recognition.


An Introduction to Computing with Fuzzy Sets

An Introduction to Computing with Fuzzy Sets
Author: Witold Pedrycz
Publisher: Springer Nature
Total Pages: 287
Release: 2020-08-11
Genre: Technology & Engineering
ISBN: 3030528006

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This book provides concise yet thorough coverage of the fundamentals and technology of fuzzy sets. Readers will find a lucid and systematic introduction to the essential concepts of fuzzy set-based information granules, their processing and detailed algorithms. Timely topics and recent advances in fuzzy modeling and its principles, neurocomputing, fuzzy set estimation, granulation–degranulation, and fuzzy sets of higher type and order are discussed. In turn, a wealth of examples, case studies, problems and motivating arguments, spread throughout the text and linked with various areas of artificial intelligence, will help readers acquire a solid working knowledge. Given the book’s well-balanced combination of the theory and applied facets of fuzzy sets, it will appeal to a broad readership in both academe and industry. It is also ideally suited as a textbook for graduate and undergraduate students in science, engineering, and operations research.


Fuzzy Computing

Fuzzy Computing
Author: Madan M. Gupta
Publisher: North Holland
Total Pages: 528
Release: 1988
Genre: Business & Economics
ISBN:

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The collection of contributions in this volume contains the unconventional mode of computing and presents the new notions and new theories based upon the most natural human reasoning, cognition and perception. Representing the first work in the field, the papers present new hardware and new applications based upon these new notions of fuzzy computing. This unconventional mode of computing is most likely to grow at an exponential rate in the years ahead. As evidenced by the contributions in this volume, many research institutions around the world are engaged in developing new theories and new hardware for fuzzy computing.


Contemporary Theory and Pragmatic Approaches in Fuzzy Computing Utilization

Contemporary Theory and Pragmatic Approaches in Fuzzy Computing Utilization
Author: Chen, Toly
Publisher: IGI Global
Total Pages: 328
Release: 2012-07-31
Genre: Computers
ISBN: 146661871X

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"This book presents the most innovative systematic and practical facets of fuzzy computing technologies to students, scholars, and academicians, as well as practitioners, engineers, and professionals"--


Handbook of Fuzzy Computation

Handbook of Fuzzy Computation
Author: E Ruspini
Publisher: CRC Press
Total Pages: 1229
Release: 2020-03-05
Genre: Computers
ISBN: 1420050397

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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 Quantifiers

Fuzzy Quantifiers
Author: Ingo Glöckner
Publisher: Springer
Total Pages: 467
Release: 2008-08-11
Genre: Technology & Engineering
ISBN: 3540325034

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From a linguistic perspective, it is quanti?cation which makes all the di?- ence between “having no dollars” and “having a lot of dollars”. And it is the meaning of the quanti?er “most” which eventually decides if “Most Ame- cans voted Kerry” or “Most Americans voted Bush” (as it stands). Natural language(NL)quanti?erslike“all”,“almostall”,“many”etc. serveanimp- tant purpose because they permit us to speak about properties of collections, as opposed to describing speci?c individuals only; in technical terms, qu- ti?ers are a ‘second-order’ construct. Thus the quantifying statement “Most Americans voted Bush” asserts that the set of voters of George W. Bush c- prisesthemajorityofAmericans,while“Bushsneezes”onlytellsussomething about a speci?c individual. By describing collections rather than individuals, quanti?ers extend the expressive power of natural languages far beyond that of propositional logic and make them a universal communication medium. Hence language heavily depends on quantifying constructions. These often involve fuzzy concepts like “tall”, and they frequently refer to fuzzy quantities in agreement like “about ten”, “almost all”, “many” etc. In order to exploit this expressive power and make fuzzy quanti?cation available to technical applications, a number of proposals have been made how to model fuzzy quanti?ers in the framework of fuzzy set theory. These approaches usually reduce fuzzy quanti?cation to a comparison of scalar or fuzzy cardinalities [197, 132].


Fundamentals of the Fuzzy Logic-Based Generalized Theory of Decisions

Fundamentals of the Fuzzy Logic-Based Generalized Theory of Decisions
Author: Rafik Aziz Aliev
Publisher: Springer
Total Pages: 332
Release: 2013-01-12
Genre: Technology & Engineering
ISBN: 3642348955

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Every day decision making and decision making in complex human-centric systems are characterized by imperfect decision-relevant information. Main drawback of the existing decision theories is namely incapability to deal with imperfect information and modeling vague preferences. Actually, a paradigm of non-numerical probabilities in decision making has a long history and arose also in Keynes’s analysis of uncertainty. There is a need for further generalization – a move to decision theories with perception-based imperfect information described in NL. The languages of new decision models for human-centric systems should be not languages based on binary logic but human-centric computational schemes able to operate on NL-described information. Development of new theories is now possible due to an increased computational power of information processing systems which allows for computations with imperfect information, particularly, imprecise and partially true information, which are much more complex than computations over numbers and probabilities. The monograph exposes the foundations of a new decision theory with imperfect decision-relevant information on environment and a decision maker’s behavior. This theory is based on the synthesis of the fuzzy sets theory with perception-based information and the probability theory. The book is self containing and represents in a systematic way the decision theory with imperfect information into the educational systems. The book will be helpful for teachers and students of universities and colleges, for managers and specialists from various fields of business and economics, production and social sphere.