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Mathematical Principles of Fuzzy Logic by VilГ©m NovГЎk

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Published by Springer US in Boston, MA .
Written in English

Subjects:

  • Mathematics,
  • Symbolic and mathematical Logic,
  • Artificial intelligence,
  • Electronic data processing

Book details:

About the Edition

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.

Edition Notes

Statementby Vilém Novák, Irina Perfilieva, Jiří Močkoř
SeriesThe Springer International Series in Engineering and Computer Science -- 517, International series in engineering and computer science -- 517.
ContributionsPerfilieva, Irina, Močkoř, Jiří
Classifications
LC ClassificationsQA8.9-10.3
The Physical Object
Format[electronic resource] /
Pagination1 online resource (xiii, 320 pages).
Number of Pages320
ID Numbers
Open LibraryOL27073293M
ISBN 101461373778, 1461552176
ISBN 109781461373773, 9781461552178
OCLC/WorldCa851814388

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Mathematics, Parameters and design aspects of control of Non Linear process plant based on tuning methods like zieglor-nichols method, fuzzy logic as a principle of operation. 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. Mathematical Principles of Fuzzy Logic. Description: 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.

Description: 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. 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 logicthe principle of bivalence. Since this book focusses on the mathematical principles of fuzzy logic, it is necessary to explain our point of view on the questions and concepts which led to it. Our aim is to demonstrate the reader that the key role in the roots of fuzzy logic is played by the vagueness phenomenon, which gives rise to problems not addressed by classical logic, but which are important to by: 1. Probability of a Fuzzy Event as a Fuzzy Set Possibility vs. Probability Part II: Applications of Fuzzy Set Theory 9 Fuzzy Logic and Approximate Reasoning Linguistic Variables Fuzzy Logic Classical Logics Revisited Linguistic Truth Tables Approximate and Plausible Reasoning 9.

Handbook of Mathematical Fuzzy Logic pdf Handbook of Mathematical Fuzzy Logic pdf: Pages By Carles Noguera, Christian G Fermueller, and Petr Cintula 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. MATHEMATICAL PRINCIPLES OF FUZZY LOGIC VILEM NOVAK University of Ostrava Institute for Research and Applications of Fuzzy Modeling Brafova 7, . 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. The basic monograph on it is Hájek’s [21] from ; Gottwald’s Treatise on many-valued logic [19] contains a part devoted to (mathematical) fuzzy logic; the monograph [33] is a book on (mathematical) fuzzy logic stressing the approach using truth constants in the language. I also mention Turunen’s [39].Cited by: