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Ununterscheidbarkeit Operatoren - 9783642162213 - Jordi Recasens
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Ununterscheidbarkeit Operatoren - 9783642162213 - hardcover

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… More...

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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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Recasens, Jordi:

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

2010, ISBN: 9783642162213

Springer, Gebundene Ausgabe, Auflage: 2011, 261 Seiten, Publiziert: 2010-09-30T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: black & white illustrations, 2.67 kg, Informatik, IT-Ausbild… More...

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

2010

ISBN: 9783642162213

Springer, Hardcover, Auflage: 2011, 261 Seiten, Publiziert: 2010-09-30T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: black & white illustrations, 1.21 kg, Books Global Store, Special Fe… More...

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Jordi Recasens:
Indistinguishability Operators Modelling Fuzzy Equalities and Fuzzy Equivalence Relations 260 Studies in Fuzziness and Soft Computing - Paperback

2009, ISBN: 9783642162213

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Jordi Recasens:
Indistinguishability Operators Modelling Fuzzy Equalities and Fuzzy Equivalence Relations 260 Studies in Fuzziness and Soft Computing - Paperback

2009, ISBN: 9783642162213

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Details of the book
Indistinguishability Operators: Modelling Fuzzy Equalities and Fuzzy Equivalence Relations (Studies in Fuzziness and Soft Computing, 260, Band 260)
Author:
Title:
ISBN:

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.

Details of the book - 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
Hardcover
Paperback
Publishing year: 2010
Publisher: Springer
244 Pages
Weight: 0,538 kg
Language: eng/Englisch

Book in our database since 2008-06-07T01:14:50+01:00 (London)
Detail page last modified on 2023-06-10T19:40:10+01:00 (London)
ISBN/EAN: 3642162215

ISBN - alternate spelling:
3-642-16221-5, 978-3-642-16221-3
Alternate spelling and related search-keywords:
Book author: recasens comes
Book title: for operators, modell

Information from Publisher

Author: Jordi Recasens
Title: Studies in Fuzziness and Soft Computing; Indistinguishability Operators - Modelling Fuzzy Equalities and Fuzzy Equivalence Relations
Publisher: Springer; Springer Berlin
244 Pages
Publishing year: 2010-09-30
Berlin; Heidelberg; DE
Printed / Made in
Language: English
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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