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100   $a20061024d2006      uy             0
101 0 $aeng
135   $aurcn|||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aAssociative functions$b[electronic resource] $etriangular norms and copulas /$fClaudi Alsina, Maurice J. Frank, Berthold Schweizer
210   $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2006
215   $a1 online resource (253 p.)
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a981-256-671-6 
320   $aIncludes bibliographical references (p. 223-234) and index.
327   $aPreface -- 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.
606   $aFunctional equations
606   $aAssociative law (Mathematics)
606   $aMathematical analysis
606   $aFunctional equations$xStudy and teaching$vTextbooks
606   $aAssociative law (Mathematics)$xStudy and teaching$vTextbooks
606   $aMathematical analysis$xStudy and teaching$vTextbooks
615  0$aFunctional equations.
615  0$aAssociative law (Mathematics)
615  0$aMathematical analysis.
615  0$aFunctional equations$xStudy and teaching
615  0$aAssociative law (Mathematics)$xStudy and teaching
615  0$aMathematical analysis$xStudy and teaching
676   $a515/.7
700   $aAlsina$b Claudi$0309455
701   $aSchweizer$b B$g(Berthold)$0368525
701   $aFrank$b Maurice J$01492828
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910778261103321
996   $aAssociative functions$93715536
997   $aUNINA