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Associative functions [[electronic resource] ] : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer
Associative functions [[electronic resource] ] : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer
Autore Alsina Claudi
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2006
Descrizione fisica 1 online resource (253 p.)
Disciplina 515/.7
Altri autori (Persone) SchweizerB (Berthold)
FrankMaurice J
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
Soggetto genere / forma Electronic books.
ISBN 1-281-91934-9
9786611919344
981-277-420-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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.
Record Nr. UNINA-9910451937603321
Alsina Claudi  
Singapore ; ; Hackensack, NJ, : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Associative functions [[electronic resource] ] : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer
Associative functions [[electronic resource] ] : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer
Autore Alsina Claudi
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2006
Descrizione fisica 1 online resource (253 p.)
Disciplina 515/.7
Altri autori (Persone) SchweizerB (Berthold)
FrankMaurice J
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
ISBN 1-281-91934-9
9786611919344
981-277-420-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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.
Record Nr. UNINA-9910778261103321
Alsina Claudi  
Singapore ; ; Hackensack, NJ, : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Associative functions [[electronic resource] ] : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer
Associative functions [[electronic resource] ] : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer
Autore Alsina Claudi
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2006
Descrizione fisica 1 online resource (253 p.)
Disciplina 515/.7
Altri autori (Persone) SchweizerB (Berthold)
FrankMaurice J
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
ISBN 1-281-91934-9
9786611919344
981-277-420-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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.
Record Nr. UNINA-9910811935003321
Alsina Claudi  
Singapore ; ; Hackensack, NJ, : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui