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This book introduces the reader to basic concepts and techniques in the field of fuzzy sets and gives a vast and up-to-date account of the literature. It distinguishes itself from most ot… Meer...

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Fuzzy Set Theory: Basic Concepts, Techniques and Bibliography Fuzzy-Set-Theory~~R-Lowen Science>Mathematics>Mathematics Paperback, Springer Netherlands

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Fuzzy Set Theory: Basic Concepts, Techniques and Bibliography

This book introduces the reader to basic concepts and techniques in the field of fuzzy sets and gives a vast and up-to-date account of the literature. It distinguishes itself from most other works in this field in that it does not treat applications but rather provides a good theoretical foundation for applying fuzzy set theory. The main topics which are treated are: basic set theory, basic lattice theory, operations on fuzzy sets, t-norms and t-conorms, special types of fuzzy sets, fuzzy relations, functions working on fuzzy sets, fuzzy real numbers (both probabilistic and non-probabilistic), basic classical logic and fundamentals concerning fuzzy logic. Audience: This volume will be of interest to researchers working in the areas of engineering, data analysis, control theory, pattern recognition, neural networks, clustering, expert systems, information retrieval, operations research, decision making, image and signal processing, and who require more information on the set-theoretical basics on which fuzzy set theory is founded.

Gedetalleerde informatie over het boek. - Fuzzy Set Theory: Basic Concepts, Techniques and Bibliography


EAN (ISBN-13): 9789048147069
ISBN (ISBN-10): 9048147069
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
424 Bladzijden
Gewicht: 0,637 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-02-16T21:43:03+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-12-19T20:30:35+01:00 (Amsterdam)
ISBN/EAN: 9789048147069

ISBN - alternatieve schrijfwijzen:
90-481-4706-9, 978-90-481-4706-9


Gegevens van de uitgever

Auteur: R. Lowen
Titel: Fuzzy Set Theory - Basic Concepts, Techniques and Bibliography
Uitgeverij: Springer; Springer Netherland
408 Bladzijden
Verschijningsjaar: 2010-12-15
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,728 kg
Taal: Engels
117,69 € (DE)
120,99 € (AT)
130,00 CHF (CH)
POD

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Grundlagen; Mathematische Grundlagen; Verstehen; Extension; Pattern Recognition; cognition; control; expert system; fuzzy; fuzzy logic; fuzzy sets; linear optimization; neural networks; operations research; set theory; sets; B; Mathematical Logic and Foundations; Artificial Intelligence; Operations Research/Decision Theory; Mathematical Logic and Foundations; Artificial Intelligence; Operations Research and Decision Theory; Mathematics and Statistics; Mathematik: Logik; Künstliche Intelligenz; Unternehmensforschung; Management: Entscheidungstheorie; BB

List of Figures. Preface. 1: Elementary Set Theory. 1. Sets and subsets. 2. Functions and relations. 3. Partially ordered sets. 4. The lattice of subsets of a set. 5. Characteristic functions. 6. Notes. 2: Fuzzy Sets. 1. Definitions and examples. 2. Lattice theoretical operations on fuzzy sets. 3. Pseudocomplementation. 4. Fuzzy sets, functions and fuzzy relations. 5. alpha-levels. 6. Notes. 3: t-Norms, t-Conorms and Negations. 1. Pointwise extensions. 2. t-Norms and t-Conorms. 3. Negations. 4. Notes. 4: Special Types of Fuzzy Sets. 1. Normal fuzzy sets. 2. Convex fuzzy sets. 3. Piecewise linear fuzzy sets. 4. Compact fuzzy sets. 5. Notes. 5: Fuzzy Real Numbers. 1. The probabilistic view. 2. The non-probabilistic view. 3. Interpolation. 4. Notes. 6: Fuzzy Logic. 1. Connectives in classical logic. 2. Fundamental classical theorems. 3. Basic principles of fuzzy logic. 4. Lattice generated fuzzy connectives. 5. t-Norm generated fuzzy connectives. 6. Probabilistically generated fuzzy connectives. 7. Notes. 7: Bibliography. 1. Books. 2. Articles. Index.

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