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ISBN: 9783642162213

Indistinguishability operators are essential tools in fuzzy logic since they fuzzify the concepts of equivalence relation and crisp equality. The stress is put on the study of their struc… Mehr…

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Indistinguishability Operators: Modelling Fuzzy Equalities and Fuzzy Equivalence Relations (Studies in Fuzziness and Soft Computing, 260, Band 260) - Recasens, Jordi
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Indistinguishability Operators: Modelling Fuzzy Equalities and Fuzzy Equivalence Relations (Studies in Fuzziness and Soft Computing, 260, Band 260) - gebunden oder broschiert

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Indistinguishability Operators: Modelling Fuzzy Equalities and Fuzzy Equivalence Relations: 260 (Studies in Fuzziness and Soft Computing, 260) - gebunden oder broschiert

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ISBN: 9783642162213

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Indistinguishability Operators Modelling Fuzzy Equalities and Fuzzy Equivalence Relations 260 Studies in Fuzziness and Soft Computing - Taschenbuch

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Bibliographische Daten des bestpassenden Buches

Details zum Buch
Indistinguishability Operators: Modelling Fuzzy Equalities and Fuzzy Equivalence Relations (Studies in Fuzziness and Soft Computing, 260, Band 260)
Autor:
Titel:
ISBN-Nummer:

3642162215


Indistinguishability operators are essential tools in fuzzy logic since they fuzzify the concepts of equivalence relation and crisp equality. This book collects all the main aspects of these operators in a single volume for the first time. The stress is put on the study of their structure and the monograph starts presenting the different ways in which indistinguishability operators can be generated and represented. Special attention is paid to the Representation Theorem and the Sup-T product. Extensionality of fuzzy subsets is studied in detail and is related to their observability and to the granularity. The metric behaviour of indistinguishability operators and their connection with cluster analysis and hierarchical trees is established. Different ways to aggregate such operators are given as well as a number of methods to obtain transitive approximations of a fuzzy relation. Applications to approximate reasoning and to the study of fuzzy subgroups are also provided. The book ends with a chapter on finite-valued indistinguishability operators.

Detailangaben zum Buch - Indistinguishability Operators: Modelling Fuzzy Equalities and Fuzzy Equivalence Relations (Studies in Fuzziness and Soft Computing, 260, Band 260)


EAN (ISBN-13): 9783642162213
ISBN (ISBN-10): 3642162215
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer
244 Seiten
Gewicht: 0,538 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2008-06-07T02:14:50+02:00 (Zurich)
Detailseite zuletzt geändert am 2023-06-10T20:40:10+02:00 (Zurich)
ISBN/EAN: 3642162215

ISBN - alternative Schreibweisen:
3-642-16221-5, 978-3-642-16221-3
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: recasens comes
Titel des Buches: for operators, modell

Daten vom Verlag:

Autor/in: Jordi Recasens
Titel: Studies in Fuzziness and Soft Computing; Indistinguishability Operators - Modelling Fuzzy Equalities and Fuzzy Equivalence Relations
Verlag: Springer; Springer Berlin
244 Seiten
Erscheinungsjahr: 2010-09-30
Berlin; Heidelberg; DE
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
160,49 € (DE)
164,99 € (AT)
177,00 CHF (CH)
POD
XVII, 244 p.

BB; Hardcover, Softcover / Technik/Allgemeines, Lexika; Künstliche Intelligenz; Verstehen; Fuzziness; Indistinguishability Operators; Modelling Fuzzy Equalities; Modelling Fuzzy Equivalence Relations; Computational Intelligence; Artificial Intelligence; BC

Indistinguishability operators are essential tools in fuzzy logic since they fuzzify the concepts of equivalence relation and crisp equality. This book collects all the main aspects of these operators in a single volume for the first time. The stress is put on the study of their structure and the monograph starts presenting the different ways in which indistinguishability operators can be generated and represented. Special attention is paid to the Representation Theorem and the Sup-T product. Extensionality of fuzzy subsets is studied in detail and is related to their observability and to the granularity. The metric behaviour of indistinguishability operators and their connection with cluster analysis and hierarchical trees is established. Different ways to aggregate such operators are given as well as a number of methods to obtain transitive approximations of a fuzzy relation. Applications to approximate reasoning and to the study of fuzzy subgroups are also provided. The book ends with a chapter on finite-valued indistinguishability operators.
Well organized book with very clear mathematical reasoning Helps to better understand the world of ideas related to imprecise partitionings and the major aspects of indistinguishability operators Written by a leading expert in the field

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