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019 815749966
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020 1281919349
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035 (OCoLC)182537640|z(OCoLC)815749966
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100 1 Alsina, Claudi.|0https://id.loc.gov/authorities/names/
n79030525
245 10 Associative functions :|btriangular norms and copulas /
|cClaudi Alsina, Maurice J. Frank, Berthold Schweizer.
264 1 Hackensack, NJ :|bWorld Scientific,|c[2006]
264 4 |c©2006
300 1 online resource (xiv, 237 pages) :|billustrations
336 text|btxt|2rdacontent
337 computer|bc|2rdamedia
338 online resource|bcr|2rdacarrier
340 |gpolychrome|2rdacc
347 text file|2rdaft
504 Includes bibliographical references (pages 223-234) and
index.
505 0 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.
520 The dynamics of complex systems can clarify the creation
of structures in Nature. This creation is driven by the
collective interaction of constitutive elements of the
system. Such interactions are frequently nonlinear and are
directly responsible for the lack of prediction in the
evolution process. The self-organization accompanying
these processes occurs all around us and is constantly
being rediscovered, under the guise of a new jargon, in
apparently unrelated disciplines. This volume offers
unique perspectives on aspects of fractals and complexity
and, through the examination of complementary techniques,
provides a unifying thread in this multidisciplinary
endeavour. Do nonlinear interactions play a role in the
complexity management of socio-economic-political systems?
Is it possible to extract the global properties of genetic
regulatory networks without knowing the details of
individual genes? What can one learn by transplanting the
self-organization effects known in laser processes to the
study of emotions? What can the change in the level of
complexity tell us about the physiological state of the
organism? The reader will enjoy finding the answers to
these questions and many more in this book.
588 0 Print version record.
590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic
Collection - North America
650 0 Functional equations.|0https://id.loc.gov/authorities/
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650 0 Associative law (Mathematics)|0https://id.loc.gov/
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650 0 Mathematical analysis.|0https://id.loc.gov/authorities/
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650 0 Functional equations|0https://id.loc.gov/authorities/
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650 7 Functional equations.|2fast|0https://id.worldcat.org/fast/
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650 7 Associative law (Mathematics)|2fast|0https://
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650 7 Mathematical analysis.|2fast|0https://id.worldcat.org/fast
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650 7 Mathematical analysis|xStudy and teaching.|2fast|0https://
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655 4 Electronic books.
655 7 Textbooks.|2fast|0https://id.worldcat.org/fast/1423863
655 7 Textbooks.|2lcgft|0https://id.loc.gov/authorities/
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700 1 Schweizer, B.|q(Berthold)|0https://id.loc.gov/authorities/
names/n81145090
700 1 Frank, Maurice J.|0https://id.loc.gov/authorities/names/
no2006086057
776 08 |iPrint version:|aAlsina, Claudi.|tAssociative functions.
|dHackensack, NJ : World Scientific, ©2006|z9812566716
|z9789812566713|w(DLC) 2006284938|w(OCoLC)76144355
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
search.ebscohost.com/login.aspx?direct=true&scope=site&
db=nlebk&AN=210845|zOnline eBook. Access restricted to
current Rider University students, faculty, and staff.
856 42 |3Instructions for reading/downloading this eBook|uhttp://
guides.rider.edu/ebooks/ebsco
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