Indistinguishability Operators

Name: Indistinguishability Operators
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642162213
Price: 722.38 PLN
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Modelling Fuzzy Equalities and Fuzzy Equivalence Relations

Autor: Jordi Recasens

Język:

Oprawa: Twarda

Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostępność: Dostępna u dostawcy w małych ilościach

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Indistinguishability operators are essential tools in fuzzy logic since they fuzzify the concepts of...

Informacje o książce

Autor

Jordi Recasens

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2010

strony

244

EAN

9783642162213

ISBN

3642162215

Enbook ID

01656773

Wydawca

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Waga

1210

Wymiary

155 x 235 x 23

Pełny opis

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.

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Indistinguishability Operators

Modelling Fuzzy Equalities and Fuzzy Equivalence Relations

Informacje o książce

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