Stephane P. Demri, Ewa Orlowska

Incomplete Information: Structure, Inference, Complexity (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 408
• Erscheinungstermin: 18. April 2013
• Englisch
• ISBN-13: 9783662049976
• Artikelnr.: 53008478

Inhaltsangabe

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.

Rezensionen

From the reviews of the first edition: "This monograph presents a systematic, exhaustive and up to date overview of formal methods and theories related to data analysis and inference using the concept of rough sets. ... In a nutshell, it is an interesting book for researchers and scientists in the area of information structure." (Prabhat Kumar Mahanti, Zentralblatt MATH, Vol. 1016, 2003) "The present monograph gives a systematic presentation of the theory related to the ... relation-based knowledge representation and the underlying logics and algebras. ... The structure of this book is clear. ... The book is written to be self-contained ... . The references section of this book is excellent ... . The book can be recommended to researchers and graduate students interested in rough-set-style reasoning and knowledge representation. Also for lecturers this provides a great source ... ." (Jouni Järvinen, Studia Logica, Vol. 89 (3), 2006)