Aggregation functions:
Aggregation is the process of combining several numerical values into a single representative value, and an aggregation function performs this operation. These functions arise wherever aggregating information is important: applied and pure mathematics (probability, statistics, decision theory, funct...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2009
|
| Series: | Encyclopedia of mathematics and its applications
volume 127 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Aggregation is the process of combining several numerical values into a single representative value, and an aggregation function performs this operation. These functions arise wherever aggregating information is important: applied and pure mathematics (probability, statistics, decision theory, functional equations), operations research, computer science, and many applied fields (economics and finance, pattern recognition and image processing, data fusion, etc.). This is a comprehensive, rigorous and self-contained exposition of aggregation functions. Classes of aggregation functions covered include triangular norms and conorms, copulas, means and averages, and those based on nonadditive integrals. The properties of each method, as well as their interpretation and analysis, are studied in depth, together with construction methods and practical identification methods. Special attention is given to the nature of scales on which values to be aggregated are defined (ordinal, interval, ratio, bipolar). It is an ideal introduction for graduate students and a unique resource for researchers |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xvii, 460 pages) |
| ISBN: | 9781139644150 |
| DOI: | 10.1017/CBO9781139644150 |
Staff View
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| 490 | 0 | |a Encyclopedia of mathematics and its applications |v volume 127 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Properties for aggregation -- Conjunctive and disjunctive aggregation functions -- Means and averages -- Aggregation functions based on nonadditive integrals -- Construction methods --Aggregation on specific scale types -- Aggregation on ordinal scales -- Aggregation on bipolar scales -- Behavioral analysis of aggregation functions -- Identification of aggregation functions -- Aggregation of infinitely many arguments -- Examples and applications | |
| 520 | |a Aggregation is the process of combining several numerical values into a single representative value, and an aggregation function performs this operation. These functions arise wherever aggregating information is important: applied and pure mathematics (probability, statistics, decision theory, functional equations), operations research, computer science, and many applied fields (economics and finance, pattern recognition and image processing, data fusion, etc.). This is a comprehensive, rigorous and self-contained exposition of aggregation functions. Classes of aggregation functions covered include triangular norms and conorms, copulas, means and averages, and those based on nonadditive integrals. The properties of each method, as well as their interpretation and analysis, are studied in depth, together with construction methods and practical identification methods. Special attention is given to the nature of scales on which values to be aggregated are defined (ordinal, interval, ratio, bipolar). It is an ideal introduction for graduate students and a unique resource for researchers | ||
| 650 | 4 | |a Numerical functions | |
| 650 | 4 | |a Aggregation operators | |
| 650 | 0 | 7 | |a Aggregationsoperator |0 (DE-588)4694009-1 |2 gnd |9 rswk-swf |
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Record in the Search Index
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| any_adam_object | |
| author | Grabisch, Michel |
| author_facet | Grabisch, Michel |
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| author_sort | Grabisch, Michel |
| author_variant | m g mg |
| building | Verbundindex |
| bvnumber | BV043942371 |
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| collection | ZDB-20-CBO |
| contents | Properties for aggregation -- Conjunctive and disjunctive aggregation functions -- Means and averages -- Aggregation functions based on nonadditive integrals -- Construction methods --Aggregation on specific scale types -- Aggregation on ordinal scales -- Aggregation on bipolar scales -- Behavioral analysis of aggregation functions -- Identification of aggregation functions -- Aggregation of infinitely many arguments -- Examples and applications |
| ctrlnum | (ZDB-20-CBO)CR9781139644150 (OCoLC)858049942 (DE-599)BVBBV043942371 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139644150 |
| format | Electronic eBook |
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| id | DE-604.BV043942371 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9781139644150 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351341 |
| oclc_num | 858049942 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvii, 460 pages) |
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| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Grabisch, Michel Verfasser aut Aggregation functions Michel Grabisch [and three others] Cambridge Cambridge University Press 2009 1 online resource (xvii, 460 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 127 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Properties for aggregation -- Conjunctive and disjunctive aggregation functions -- Means and averages -- Aggregation functions based on nonadditive integrals -- Construction methods --Aggregation on specific scale types -- Aggregation on ordinal scales -- Aggregation on bipolar scales -- Behavioral analysis of aggregation functions -- Identification of aggregation functions -- Aggregation of infinitely many arguments -- Examples and applications Aggregation is the process of combining several numerical values into a single representative value, and an aggregation function performs this operation. These functions arise wherever aggregating information is important: applied and pure mathematics (probability, statistics, decision theory, functional equations), operations research, computer science, and many applied fields (economics and finance, pattern recognition and image processing, data fusion, etc.). This is a comprehensive, rigorous and self-contained exposition of aggregation functions. Classes of aggregation functions covered include triangular norms and conorms, copulas, means and averages, and those based on nonadditive integrals. The properties of each method, as well as their interpretation and analysis, are studied in depth, together with construction methods and practical identification methods. Special attention is given to the nature of scales on which values to be aggregated are defined (ordinal, interval, ratio, bipolar). It is an ideal introduction for graduate students and a unique resource for researchers Numerical functions Aggregation operators Aggregationsoperator (DE-588)4694009-1 gnd rswk-swf Aggregationsoperator (DE-588)4694009-1 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-51926-7 https://doi.org/10.1017/CBO9781139644150 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Grabisch, Michel Aggregation functions Properties for aggregation -- Conjunctive and disjunctive aggregation functions -- Means and averages -- Aggregation functions based on nonadditive integrals -- Construction methods --Aggregation on specific scale types -- Aggregation on ordinal scales -- Aggregation on bipolar scales -- Behavioral analysis of aggregation functions -- Identification of aggregation functions -- Aggregation of infinitely many arguments -- Examples and applications Numerical functions Aggregation operators Aggregationsoperator (DE-588)4694009-1 gnd |
| subject_GND | (DE-588)4694009-1 |
| title | Aggregation functions |
| title_auth | Aggregation functions |
| title_exact_search | Aggregation functions |
| title_full | Aggregation functions Michel Grabisch [and three others] |
| title_fullStr | Aggregation functions Michel Grabisch [and three others] |
| title_full_unstemmed | Aggregation functions Michel Grabisch [and three others] |
| title_short | Aggregation functions |
| title_sort | aggregation functions |
| topic | Numerical functions Aggregation operators Aggregationsoperator (DE-588)4694009-1 gnd |
| topic_facet | Numerical functions Aggregation operators Aggregationsoperator |
| url | https://doi.org/10.1017/CBO9781139644150 |
| work_keys_str_mv | AT grabischmichel aggregationfunctions |