國立高雄大學圖資館 |

Language: English

Back

Formal concept analysismathematical foundations /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Formal concept analysisby Bernhard Ganter, Rudolf Wille.
Reminder of title:	mathematical foundations /
Author:	Ganter, Bernhard.
other author:	Wille, Rudolf.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xii, 370 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Lattice theory.
Online resource:	https://doi.org/10.1007/978-3-031-63422-2
ISBN:	9783031634222$q(electronic bk.)

Formal concept analysismathematical foundations /
Ganter, Bernhard.

Formal concept analysismathematical foundations /[electronic resource] :by Bernhard Ganter, Rudolf Wille. - Second edition. - Cham :Springer Nature Switzerland :2024. - xii, 370 p. :ill., digital ;24 cm.

Preface to the first edition -- Preface to the second edition -- Acknowledgements -- 0. Order-theoretic foundations -- 1. Concept lattices of formal contexts -- 2. Determination and representation -- 3. Parts, factors, and bonds -- 4. Decompositions of concept lattices -- 5. Constructions of concept lattices -- 6. Properties of concept lattices -- 7. Context comparison and conceptual measurability -- 8. Contextual concept logic -- References -- Formal contexts and concept lattices in this book -- Index.

Formal Concept Analysis is a field of applied mathematics based on the mathematization of concept and conceptual hierarchy. It thereby activates mathematical thinking for conceptual data analysis and knowledge processing. The underlying notion of "concept" evolved early in the philosophical theory of concepts and still has effects today. In mathematics it played a special role during the emergence of mathematical logic in the 19th century. Subsequently, however, it had virtually no impact on mathematical thinking. It was not until 1979 that the topic was revisited and treated more thoroughly. Since then, Formal Concept Analysis has fully emerged, sparking a multitude of publications for which the first edition of this textbook established itself as the standard reference in the literature, with a total of 10000+ citations. This is the second edition, revised and extended, of the textbook published originally in German (1996) and translated into English (1999), giving a systematic presentation of the mathematical foundations while also focusing on their possible applications for data analysis and knowledge processing. In times of digital knowledge processing, formal methods of conceptual analysis are gaining in importance. The book makes the basic theory for such methods accessible in a compact form, and presents graphical methods for representing concept systems that have proved themselves essential in communicating knowledge. The textbook complements each chapter with further notes, references and trends, putting the work in modern context and highlighting potential directions for further research. Additionally, the book contains an entirely new chapter on contextual concept logic, including a section on description logics and relational concept analysis. As such, it should be a valuable resource for students, instructors and researchers at the crossroads of subject areas like Applied and Discrete Mathematics, Logics, Theoretical Computer Science, Knowledge Processing, Data Science, and is meant to be used both for research and in class, as a teaching resource.

ISBN: 9783031634222$q(electronic bk.)

Standard No.: 10.1007/978-3-031-63422-2doiSubjects--Topical Terms:

185633
Lattice theory.

LC Class. No.: QA171.5

Dewey Class. No.: 511.33

Formal concept analysismathematical foundations /
LDR:03672nmm a2200361 a 4500 001 666665
003 DE-He213
005 20240731125721.0
006 m d
007 cr nn 008maaau
008 250107s2024 sz s 0 eng d
020 $a 9783031634222$q(electronic bk.)
020 $a 9783031634215$q(paper)
024 7 $a 10.1007/978-3-031-63422-2 $2 doi
035 $a 978-3-031-63422-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA171.5
072 7 $a UMB $2 bicssc
072 7 $a GPF $2 bicssc
072 7 $a COM021000 $2 bisacsh
072 7 $a UMB $2 thema
072 7 $a GPF $2 thema
082 0 4 $a 511.33 $2 23
090 $a QA171.5 $b .G211 2024
100 1 $a Ganter, Bernhard. $3 284407
245 1 0 $a Formal concept analysis $h [electronic resource] : $b mathematical foundations / $c by Bernhard Ganter, Rudolf Wille.
250 $a Second edition.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
300 $a xii, 370 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preface to the first edition -- Preface to the second edition -- Acknowledgements -- 0. Order-theoretic foundations -- 1. Concept lattices of formal contexts -- 2. Determination and representation -- 3. Parts, factors, and bonds -- 4. Decompositions of concept lattices -- 5. Constructions of concept lattices -- 6. Properties of concept lattices -- 7. Context comparison and conceptual measurability -- 8. Contextual concept logic -- References -- Formal contexts and concept lattices in this book -- Index.
520 $a Formal Concept Analysis is a field of applied mathematics based on the mathematization of concept and conceptual hierarchy. It thereby activates mathematical thinking for conceptual data analysis and knowledge processing. The underlying notion of "concept" evolved early in the philosophical theory of concepts and still has effects today. In mathematics it played a special role during the emergence of mathematical logic in the 19th century. Subsequently, however, it had virtually no impact on mathematical thinking. It was not until 1979 that the topic was revisited and treated more thoroughly. Since then, Formal Concept Analysis has fully emerged, sparking a multitude of publications for which the first edition of this textbook established itself as the standard reference in the literature, with a total of 10000+ citations. This is the second edition, revised and extended, of the textbook published originally in German (1996) and translated into English (1999), giving a systematic presentation of the mathematical foundations while also focusing on their possible applications for data analysis and knowledge processing. In times of digital knowledge processing, formal methods of conceptual analysis are gaining in importance. The book makes the basic theory for such methods accessible in a compact form, and presents graphical methods for representing concept systems that have proved themselves essential in communicating knowledge. The textbook complements each chapter with further notes, references and trends, putting the work in modern context and highlighting potential directions for further research. Additionally, the book contains an entirely new chapter on contextual concept logic, including a section on description logics and relational concept analysis. As such, it should be a valuable resource for students, instructors and researchers at the crossroads of subject areas like Applied and Discrete Mathematics, Logics, Theoretical Computer Science, Knowledge Processing, Data Science, and is meant to be used both for research and in class, as a teaching resource.
650 0 $a Lattice theory. $3 185633
650 0 $a Formal methods (Computer science) $3 277520
650 0 $a Comprehension (Theory of knowledge) $x Mathematical models. $3 979406
650 0 $a Logic, Symbolic and mathematical. $3 180452
650 1 4 $a Data Structures and Information Theory. $3 825714
650 2 4 $a Information Storage and Retrieval. $3 274190
650 2 4 $a Information Model. $3 924168
650 2 4 $a Order, Lattices, Ordered Algebraic Structures. $3 275673
650 2 4 $a Discrete Mathematics in Computer Science. $3 274791
700 1 $a Wille, Rudolf. $3 491806
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-63422-2
950 $a Computer Science (SpringerNature-11645)