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Autore: |
Alsina Claudi
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Titolo: |
Associative functions : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer
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Pubblicazione: | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
Edizione: | 1st ed. |
Descrizione fisica: | 1 online resource (253 p.) |
Disciplina: | 515/.7 |
Soggetto topico: | Functional equations |
Associative law (Mathematics) | |
Mathematical analysis | |
Functional equations - Study and teaching | |
Associative law (Mathematics) - Study and teaching | |
Mathematical analysis - Study and teaching | |
Altri autori: |
SchweizerB (Berthold)
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Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di bibliografia: | Includes bibliographical references (p. 223-234) and index. |
Nota di contenuto: | Preface -- Special symbols -- 1. Introduction. 1.1. Historical notes. 1.2. Preliminaries. 1.3. t-norms and s-norms. 1.4. Copulas -- 2. Representation theorems for associative functions. 2.1. Continuous, Archimedean t-norms. 2.2. Additive and multiplicative generators. 2.3. Extension to arbitrary closed intervals. 2.4. Continuous, non-Archimedean t-norms. 2.5. Non-continuous t-norms. 2.6. Families of t-norms. 2.7. Other representation theorems. 2.8. Related functional equations -- 3. Functional equations involving t-norms. 3.1. Simultaneous associativity. 3.2. n-duality. 3.3. Simple characterizations of Min. 3.4. Homogeneity. 3.5. Distributivity. 3.6. Conical t-norms. 3.7. Rational Archimedean t-norms. 3.8. Extension and sets of uniqueness -- 4. Inequalities involving t-norms. 4.1. Notions of concavity and convexity. 4.2. The dominance relation. 4.3. Uniformly close associative functions. 4.4. Serial iterates and n-copulas. 4.5. Positivity. |
Titolo autorizzato: | Associative functions ![]() |
ISBN: | 1-281-91934-9 |
9786611919344 | |
981-277-420-3 | |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910811935003321 |
Lo trovi qui: | Univ. Federico II |
Opac: | Controlla la disponibilità qui |