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Cover: 9783642075407 | Incomplete Information: Structure, Inference, Complexity | Taschenbuch
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Incomplete Information: Structure, Inference, Complexity
Taschenbuch von Ewa Orlowska (u. a.)
Sprache: Englisch

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Beschreibung
The construction of any broadly understood theory of information or infor­ mation processing system involves two major methodological processes: (1) abstraction and analysis, (2) reasoning and computing. This monograph is a realisation of these two processes in relation to the study of incompleteness of information. The paradigm we are working with is inspired by a rough-set approach to data analysis: the formalisms we develop enable the use of a non­ invasive data representation. This means that the only information which is and must be used in the process of analysis is the actual information that is to be analysed; we do not require any additional sources of information. An abstraction is formed in the process of conception, design, and develop­ ment of structures. Then analysis leads to a selection of a class of structures. In this book we delineate a class of informational structures that enable us to represent both numerical and non-numerical information and we analyse var­ ious manifestations of its incompleteness. We discuss several general types of incompleteness of information which are grounded in a rough-set-style view of imprecision and uncertainty. Manifestations of these types of incompleteness in information systems are investigated.
The construction of any broadly understood theory of information or infor­ mation processing system involves two major methodological processes: (1) abstraction and analysis, (2) reasoning and computing. This monograph is a realisation of these two processes in relation to the study of incompleteness of information. The paradigm we are working with is inspired by a rough-set approach to data analysis: the formalisms we develop enable the use of a non­ invasive data representation. This means that the only information which is and must be used in the process of analysis is the actual information that is to be analysed; we do not require any additional sources of information. An abstraction is formed in the process of conception, design, and develop­ ment of structures. Then analysis leads to a selection of a class of structures. In this book we delineate a class of informational structures that enable us to represent both numerical and non-numerical information and we analyse var­ ious manifestations of its incompleteness. We discuss several general types of incompleteness of information which are grounded in a rough-set-style view of imprecision and uncertainty. Manifestations of these types of incompleteness in information systems are investigated.
Zusammenfassung
This is the first monograph devoted to a theory of information systems with incomplete information inspired by the concept of rough set. The book is self-contained to a large degree, providing detailed derivations of most of the technical results.
Inhaltsverzeichnis
1. Mathematical Prerequisites.- I. Structures with Incomplete Information.- 2. Structures of Information.- 3. Information Relations Derived from Information Systems.- 4. Information Operators Derived from Information Systems.- II. Introduction to Information Logics.- 5. Towards Information Logics.- 6. Techniques for Information Logics.- III. Proof Systems for Information Logics.- 7. Reasoning About Similarity.- 8. Reasoning About Indiscernibility.- 9. Reasoning About Knowledge.- IV. Computational Aspects of Information Logics.- 10. Information Logics Versus Standard Modal Logics.- 11. Decidability of Information Logics.- 12. Complexity of Information Logics.- V. Representability and Duality.- 13. Informational Representability.- 14. Informational Interpretation of Standard Algebraic Structures.- 15. Information Algebras.- References.
Details
Erscheinungsjahr: 2010
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Monographs in Theoretical Computer Science. An EATCS Series
Inhalt: xviii
408 S.
ISBN-13: 9783642075407
ISBN-10: 3642075401
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Orlowska, Ewa
Demri, Stephane P.
Auflage: Softcover reprint of hardcover 1st ed. 2002
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Monographs in Theoretical Computer Science. An EATCS Series
Maße: 235 x 155 x 24 mm
Von/Mit: Ewa Orlowska (u. a.)
Erscheinungsdatum: 19.10.2010
Gewicht: 0,651 kg
Artikel-ID: 107123673
Zusammenfassung
This is the first monograph devoted to a theory of information systems with incomplete information inspired by the concept of rough set. The book is self-contained to a large degree, providing detailed derivations of most of the technical results.
Inhaltsverzeichnis
1. Mathematical Prerequisites.- I. Structures with Incomplete Information.- 2. Structures of Information.- 3. Information Relations Derived from Information Systems.- 4. Information Operators Derived from Information Systems.- II. Introduction to Information Logics.- 5. Towards Information Logics.- 6. Techniques for Information Logics.- III. Proof Systems for Information Logics.- 7. Reasoning About Similarity.- 8. Reasoning About Indiscernibility.- 9. Reasoning About Knowledge.- IV. Computational Aspects of Information Logics.- 10. Information Logics Versus Standard Modal Logics.- 11. Decidability of Information Logics.- 12. Complexity of Information Logics.- V. Representability and Duality.- 13. Informational Representability.- 14. Informational Interpretation of Standard Algebraic Structures.- 15. Information Algebras.- References.
Details
Erscheinungsjahr: 2010
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Monographs in Theoretical Computer Science. An EATCS Series
Inhalt: xviii
408 S.
ISBN-13: 9783642075407
ISBN-10: 3642075401
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Orlowska, Ewa
Demri, Stephane P.
Auflage: Softcover reprint of hardcover 1st ed. 2002
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Monographs in Theoretical Computer Science. An EATCS Series
Maße: 235 x 155 x 24 mm
Von/Mit: Ewa Orlowska (u. a.)
Erscheinungsdatum: 19.10.2010
Gewicht: 0,651 kg
Artikel-ID: 107123673
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