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Indistinguishability Operators Modelling Fuzzy Equalities and Fuzzy Equivalence Relations /
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 mo...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
|
| Edición: | 1st ed. 2011. |
| Colección: | Studies in Fuzziness and Soft Computing,
260 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-16222-0 | ||
| 003 | DE-He213 | ||
| 005 | 20220113062303.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 101001s2011 gw | s |||| 0|eng d | ||
| 020 | |a 9783642162220 |9 978-3-642-16222-0 | ||
| 024 | 7 | |a 10.1007/978-3-642-16222-0 |2 doi | |
| 050 | 4 | |a Q342 | |
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| 100 | 1 | |a Recasens, Jordi. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Indistinguishability Operators |h [electronic resource] : |b Modelling Fuzzy Equalities and Fuzzy Equivalence Relations / |c by Jordi Recasens. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2011. | |
| 300 | |a XVII, 244 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Studies in Fuzziness and Soft Computing, |x 1860-0808 ; |v 260 | |
| 505 | 0 | |a Introduction -- Granularity and Extensional Sets -- Isometries Between Indistinguishability Operators -- min-indistinguishability Operators and Hierarchical Trees -- Betweenness Relations -- Dimension and Basis -- Aggregation of Indistinguishability Operators -- Making Proximities Transitive -- Fuzzy Functions -- Indistinguishability Operators and Approximate Reasoning -- Vague Groups -- Finitely Valued Indistinguishability Operators. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Computational intelligence. | |
| 650 | 0 | |a Artificial intelligence. | |
| 650 | 1 | 4 | |a Computational Intelligence. |
| 650 | 2 | 4 | |a Artificial Intelligence. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642423338 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642162213 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642162237 |
| 830 | 0 | |a Studies in Fuzziness and Soft Computing, |x 1860-0808 ; |v 260 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-16222-0 |z Texto Completo |
| 912 | |a ZDB-2-ENG | ||
| 912 | |a ZDB-2-SXE | ||
| 950 | |a Engineering (SpringerNature-11647) | ||
| 950 | |a Engineering (R0) (SpringerNature-43712) | ||