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[null,"1.","Record Nr.",null,"UNINA9910451937603321"]
[null,null,"Autore",null,"Alsina Claudi"]
[null,null,"Titolo",null,"Associative functions [[electronic resource] ] : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer"]
[null,null,"Pubbl/distr/stampa",null,"Singapore ; ; Hackensack, NJ, : World Scientific, c2006"]
[null,null,"ISBN",null,"1-281-91934-9"]
[{"$nulls":4},"9786611919344"]
[{"$nulls":4},"981-277-420-3"]
[null,null,"Descrizione fisica",null,"1 online resource (253 p.)"]
[null,null,"Disciplina",null,"515/.7"]
[null,null,"Soggetti",null,"Functional equations"]
[{"$nulls":4},"Associative law (Mathematics)"]
[{"$nulls":4},"Mathematical analysis"]
[{"$nulls":4},"Functional equations - Study and teaching"]
[{"$nulls":4},"Associative law (Mathematics) - Study and teaching"]
[{"$nulls":4},"Mathematical analysis - Study and teaching"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. 223-234) and index."]
[null,null,"Nota di contenuto",null,"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."]