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005 20190405013904.9
006 m o d
007 cr |n|||||||||
008 130817s2009 enk ob 001 0 eng d
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016 7 015328737|2Uk
019 841393173|a856017192|a862390630|a985325957|a985404977
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020 9781139641128
020 1139641123
020 0521519268
020 9780521519267
020 9781139648738|q(electronic book)
020 113964873X|q(electronic book)
020 9781139644150|q(electronic book)
020 1139644157|q(electronic book)
020 |z9780521519267
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|dOCLCQ|dOCLCF|dN$T|dCAMBR|dIDEBK|dE7B|dOCLCQ|dOCLCO
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049 RIDW
050 4 QA246 .A34 2009
072 7 MAT|x002040|2bisacsh
082 04 511.326|a512
084 31.80|2bcl
084 SK 680|2rvk
090 QA246 .A34 2009
100 1 Grabisch, Michel.|0https://id.loc.gov/authorities/names/
n94085701
245 10 Aggregation Functions.
264 1 Cambridge :|bCambridge University Press,|c2009.
300 1 online resource (480 pages).
336 text|btxt|2rdacontent
337 computer|bc|2rdamedia
338 online resource|bcr|2rdacarrier
347 text file|2rdaft
490 1 Encyclopedia of Mathematics and its Applications
504 Includes bibliographical references and index.
505 0 Cover; Half Title; Title Page; Copyright; Dedication;
Contents; List of figures; List of tables; Preface; 1.
Introduction; 1.1 Main motivations and scope; 1.2 Basic
definitions and examples; 1.3 Conventional notation; 2
Properties for aggregation; 2.1 Introduction; 2.2
Elementary mathematical properties; 2.3 Grouping-based
properties; 2.4 Invariance properties; 2.5 Further
properties; 3 Conjunctive and disjunctive aggregation
functions; 3.1 Preliminaries and general notes; 3.2
Generated conjunctive aggregation functions; 3.3
Triangular norms and related conjunctive aggregation
functions.
505 8 3.4 Copulas and quasi-copulas3.5 Disjunctive aggregation
functions; 3.6 Uninorms; 3.7 Nullnorms; 3.8 More
aggregation functions related to t-norms; 3.9 Restricted
distributivity; 4 Means and averages; 4.1 Introduction and
definitions; 4.2 Quasi-arithmetic means; 4.3
Generalizations of quasi-arithmetic means; 4.4 Associative
means; 4.5 Means constructed from a mean value property;
4.6 Constructing means; 4.7 Further extended means; 5
Aggregation functions based on nonadditive integrals; 5.1
Introduction; 5.2 Set functions, capacities, and games;
5.3 Some linear transformations of set functions.
505 8 5.4 The Choquet integral5.5 The Sugeno integral; 5.6 Other
integrals; 6 Construction methods; 6.1 Introduction; 6.2
Transformed aggregation functions; 6.3 Composed
aggregation; 6.4 Weighted aggregation functions; 6.5 Some
other aggregation-based construction methods; 6.6
Aggregation functions based on minimal dissimilarity; 6.7
Ordinal sums of aggregation functions; 6.8 Extensions to
aggregation functions; 7 Aggregation on specific scale
types; 7.1 Introduction; 7.2 Ratio scales; 7.3 Difference
scales; 7.4 Interval scales; 7.5 Log-ratio scales; 8
Aggregation on ordinal scales.
505 8 8.1 Introduction8.2 Order invariant subsets; 8.3 Lattice
polynomial functions and some of their properties; 8.4
Ordinal scale invariant functions; 8.5 Comparison
meaningful functions on a single ordinal scale; 8.6
Comparison meaningful functions on independent ordinal
scales; 8.7 Aggregation on finite chains by chain
independent functions; 9 Aggregation on bipolar scales;
9.1 Introduction; 9.2 Associative bipolar operators; 9.3
Minimum and maximum on symmetrized linearly ordered sets;
9.4 Separable aggregation functions; 9.5 Integral-based
aggregation functions.
505 8 10 Behavioral analysis of aggregation functions10.1
Introduction; 10.2 Expected values and distribution
functions; 10.3 Importance indices; 10.4 Interaction
indices; 10.5 Maximum improving index; 10.6 Tolerance
indices; 10.7 Measures of arguments contribution and
involvement; 11 Identification of aggregation functions;
11.1 Introduction; 11.2 General formulation; 11.3 The case
of parametrized families of aggregation functions; 11.4
The case of generated aggregation functions; 11.5 The case
of integral-based aggregation functions; 11.6 Available
software.
520 A rigorous and self-contained exposition of aggregation
functions and their properties.
588 0 Print version record.
590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic
Collection - North America
650 0 Numerical functions.|0https://id.loc.gov/authorities/
subjects/sh85093244
650 0 Aggregation operators.|0https://id.loc.gov/authorities/
subjects/sh2002004486
650 7 Numerical functions.|2fast|0https://id.worldcat.org/fast/
1041295
650 7 Aggregation operators.|2fast|0https://id.worldcat.org/fast
/800256
655 0 Electronic book.
655 4 Electronic books.
700 1 Marichal, Jean-Luc.
700 1 Mesiar, Radko.|0https://id.loc.gov/authorities/names/
nr97008985
700 1 Pap, Endre.|0https://id.loc.gov/authorities/names/
n83067408
776 08 |iPrint version:|aGrabisch, Michel.|tAggregation
Functions.|dCambridge : Cambridge University Press, ©2009
|z9780521519267
830 0 Encyclopedia of mathematics and its applications.|0https:/
/id.loc.gov/authorities/names/n42010632
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
search.ebscohost.com/login.aspx?direct=true&scope=site&
db=nlebk&AN=511696|zOnline eBook via EBSCO. Access
restricted to current Rider University students, faculty,
and staff.
856 42 |3Instructions for reading/downloading the EBSCO version
of this eBook|uhttp://guides.rider.edu/ebooks/ebsco
901 MARCIVE 20231220
948 |d20190507|cEBSCO|tEBSCOebooksacademic NEW 4-5-19 7552
|lridw
994 92|bRID
