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...
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| Glavni autor: | |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Izdanje: | 1st ed. 2011. |
| Serija: | Studies in Fuzziness and Soft Computing
260 |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Indistinguishability Operators, Texte imprimé, 9783642162213 • Indistinguishability Operators, Texte imprimé, 9783642423338 • Indistinguishability Operators, Texte imprimé, 9783642162237 |
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| 008 | 110106q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN149033818 | ||
| 020 | |a 9783642162220 | ||
| 041 | 0 | |a eng | |
| 082 | |a 006.3 | ||
| 100 | 1 | |a Recasens i Guinjuan, Jordi, |d 1957- | |
| 245 | 1 | 0 | |a Indistinguishability Operators : |b Modelling Fuzzy Equalities and Fuzzy Equivalence Relations |c by Jordi Recasens. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Studies in Fuzziness and Soft Computing |v 260 |x 1860-0808 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 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 | ||
| 776 | 0 | |t Indistinguishability Operators |b Texte imprimé |z 9783642162213 | |
| 776 | 0 | |t Indistinguishability Operators |b Texte imprimé |z 9783642423338 | |
| 776 | 0 | |t Indistinguishability Operators |b Texte imprimé |z 9783642162237 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-16222-0 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-LN1G2JTF-J |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750626585 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-16222-0 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:75398377X |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-16222-0 |z Accès INSA CVL | |
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