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Metamathematics of Fuzzy Logic

2013-12-01 Philosophy
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Release : 2013-12-01
Genre : Philosophy
Kind : eBook
Book Rating : 000/5 ( reviews)

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Book Synopsis Metamathematics of Fuzzy Logic by : Petr Hájek

Download or read book Metamathematics of Fuzzy Logic written by Petr Hájek. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic treatment of deductive aspects and structures of fuzzy logic understood as many valued logic sui generis. It aims to show that fuzzy logic as a logic of imprecise (vague) propositions does have well-developed formal foundations and that most things usually named ‘fuzzy inference’ can be naturally understood as logical deduction. It is for mathematicians, logicians, computer scientists, specialists in artificial intelligence and knowledge engineering, and developers of fuzzy logic.

Metamathematics of Fuzzy Logic

2012-11-26
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Release : 2012-11-26
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Kind : eBook
Book Rating : 010/5 ( reviews)

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Book Synopsis Metamathematics of Fuzzy Logic by :

Download or read book Metamathematics of Fuzzy Logic written by . This book was released on 2012-11-26. Available in PDF, EPUB and Kindle. Book excerpt:

Fuzzy Logic and Mathematics

2017 Mathematics
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Release : 2017
Genre : Mathematics
Kind : eBook
Book Rating : 014/5 ( reviews)

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Book Synopsis Fuzzy Logic and Mathematics by : Radim Bělohlávek

Download or read book Fuzzy Logic and Mathematics written by Radim Bělohlávek. This book was released on 2017. 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.

Handbook of Mathematical Fuzzy Logic

2015-12-31 Mathematics
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Release : 2015-12-31
Genre : Mathematics
Kind : eBook
Book Rating : 933/5 ( reviews)

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Book Synopsis Handbook of Mathematical Fuzzy Logic by : Petr Cintula

Download or read book Handbook of Mathematical Fuzzy Logic written by Petr Cintula. This book was released on 2015-12-31. 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."

Fuzzy Logic and Mathematics

2017-05-03 Philosophy
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Release : 2017-05-03
Genre : Philosophy
Kind : eBook
Book Rating : 70X/5 ( reviews)

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Book Synopsis Fuzzy Logic and Mathematics by : Radim Belohlavek

Download or read book Fuzzy Logic and Mathematics written by Radim Belohlavek. This book was released on 2017-05-03. Available in PDF, EPUB and Kindle. Book excerpt: The term "fuzzy logic," as it is understood in this book, stands for all aspects of representing and manipulating knowledge based on the rejection of the most fundamental principle of classical logic---the principle of bivalence. According to this principle, each declarative sentence is required to be either true or false. In fuzzy logic, these classical truth values are not abandoned. However, additional, intermediate truth values between true and false are allowed, which are interpreted as degrees of truth. This opens a new way of thinking---thinking in terms of degrees rather than absolutes. For example, it leads to the definition of a new kind of sets, referred to as fuzzy sets, in which membership is a matter of degree. The book examines the genesis and development of fuzzy logic. It surveys the prehistory of fuzzy logic and inspects circumstances that eventually lead to the emergence of fuzzy logic. The book explores in detail the development of propositional, predicate, and other calculi that admit degrees of truth, which are known as fuzzy logic in the narrow sense. Fuzzy logic in the broad sense, whose primary aim is to utilize degrees of truth for emulating common-sense human reasoning in natural language, is scrutinized as well. The book also examines principles for developing mathematics based on fuzzy logic and provides overviews of areas in which this has been done most effectively. It also presents a detailed survey of established and prospective applications of fuzzy logic in various areas of human affairs, and provides an assessment of the significance of fuzzy logic as a new paradigm.

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