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Finite Ordered Sets : Concepts, Results and Uses

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Title: Finite Ordered Sets : Concepts, Results and Uses
Description: Ordered sets are ubiquitous in mathematics and have significant applications in computer science, statistics, biology and the social sciences. As the first book to deal exclusively with finite ordered sets, this book will be welcomed by graduate students and researchers in all of these areas. Beginning with definitions of key concepts and fundamental results (Dilworth's and Sperner's theorem, interval and semiorders, Galois connection, duality with distributive lattices, coding and dimension theory), the authors then present applications of these structures in fields such as preference modelling and aggregation, operational research and management, cluster and concept analysis, and data mining. Exercises are included at the end of each chapter with helpful hints provided for some of the most difficult examples. The authors also point to further topics of ongoing research.
Authors: Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Resource Type: eBook.
Subjects: Ordered sets, Finite groups
Categories: MATHEMATICS / Infinity, MATHEMATICS / Logic
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 569366
RelevancyScore: 1044
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1044.26904296875
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  Data: Finite Ordered Sets : Concepts, Results and Uses
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  Label: Description
  Group: Ab
  Data: Ordered sets are ubiquitous in mathematics and have significant applications in computer science, statistics, biology and the social sciences. As the first book to deal exclusively with finite ordered sets, this book will be welcomed by graduate students and researchers in all of these areas. Beginning with definitions of key concepts and fundamental results (Dilworth's and Sperner's theorem, interval and semiorders, Galois connection, duality with distributive lattices, coding and dimension theory), the authors then present applications of these structures in fields such as preference modelling and aggregation, operational research and management, cluster and concept analysis, and data mining. Exercises are included at the end of each chapter with helpful hints provided for some of the most difficult examples. The authors also point to further topics of ongoing research.
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  Data: <searchLink fieldCode="AR" term="%22Nathalie+Caspard%22">Nathalie Caspard</searchLink><br /><searchLink fieldCode="AR" term="%22Bruno+Leclerc%22">Bruno Leclerc</searchLink><br /><searchLink fieldCode="AR" term="%22Bernard+Monjardet%22">Bernard Monjardet</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Ordered+sets%22">Ordered sets</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+groups%22">Finite groups</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 511.32
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Ordered sets
        Type: general
      – SubjectFull: Finite groups
        Type: general
    Titles:
      – TitleFull: Finite Ordered Sets : Concepts, Results and Uses
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Nathalie Caspard
      – PersonEntity:
          Name:
            NameFull: Bruno Leclerc
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            NameFull: Bernard Monjardet
      – PersonEntity:
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            NameFull: Nathalie Caspard
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          Name:
            NameFull: Bruno Leclerc
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            NameFull: Bernard Monjardet
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2012
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9781107013698
            – Type: isbn-electronic
              Value: 9781107089884
          Numbering:
            – Type: volume
              Value: 00144
          Titles:
            – TitleFull: Finite Ordered Sets : Concepts, Results and Uses
              Type: main
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