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Record Nr. |
UNINA9910451937603321 |
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Autore |
Alsina Claudi |
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Titolo |
Associative functions [[electronic resource] ] : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer |
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Pubbl/distr/stampa |
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Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
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ISBN |
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1-281-91934-9 |
9786611919344 |
981-277-420-3 |
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Descrizione fisica |
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1 online resource (253 p.) |
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Altri autori (Persone) |
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SchweizerB (Berthold) |
FrankMaurice J |
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Disciplina |
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Soggetti |
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Functional equations |
Associative law (Mathematics) |
Mathematical analysis |
Functional equations - Study and teaching |
Associative law (Mathematics) - Study and teaching |
Mathematical analysis - Study and teaching |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (p. 223-234) and index. |
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Nota di contenuto |
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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 |
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