A Geometry of Approximation: Rough Set Theory: Logic, Algebra and Topology of Conceptual Patterns

Dordrecht, Netherland: Springer (2008)
  Copy   BIBTEX

Abstract

'A Geometry of Approximation' addresses Rough Set Theory, a field of interdisciplinary research first proposed by Zdzislaw Pawlak in 1982, and focuses mainly on its logic-algebraic interpretation. The theory is embedded in a broader perspective that includes logical and mathematical methodologies pertaining to the theory, as well as related epistemological issues. Any mathematical technique that is introduced in the book is preceded by logical and epistemological explanations. Intuitive justifications are also provided, insofar as possible, so that the general perspective is not lost. Such an approach endows the present treatise with a unique character. Due to this uniqueness in the treatment of the subject, the book will be useful to researchers, graduate and pre-graduate students from various disciplines, such as computer science, mathematics and philosophy. It features an impressive number of examples supported by about 40 tables and 230 figures. The comprehensive index of concepts turns the book into a sort of encyclopaedia for researchers from a number of fields. 'A Geometry of Approximation' links many areas of academic pursuit without losing track of its focal point, Rough Sets.

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 100,448

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Vagueness and Roughness.Bonikowski Zbigniew & Wybranie-Skardowska Urszula - 2008 - In Bonikowski Zbigniew & Wybranie-Skardowska Urszula (eds.), Transactions on Rough Sets IX. Lectures Notes and Computer Science 5290. Berlin-Heidelberg: pp. 1-13.
Lectures on infinitary model theory.David Marker - 2016 - New York, NY, USA: Cambridge University Press.
Experimental mathematics.V. I. Arnolʹd - 2015 - Providence. Rhode Island: American Mathematical Society. Edited by D. B. Fuks & Mark E. Saul.
Biogram.Janusz Czelakowski - 2024 - In Jacek Malinowski & Rafał Palczewski (eds.), Janusz Czelakowski on Logical Consequence. Springer Verlag. pp. 9-47.
Substructural Logics: A Primer.Francesco Paoli - 2002 - Dordrecht, Netherland: Springer.

Analytics

Added to PP
2021-11-17

Downloads
13 (#1,309,843)

6 months
5 (#1,015,253)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

References found in this work

Semantical Considerations on Modal Logic.Saul Kripke - 1963 - Acta Philosophica Fennica 16:83-94.
Constructible falsity.David Nelson - 1949 - Journal of Symbolic Logic 14 (1):16-26.
Semantical Analysis of Intuitionistic Logic I.Saul A. Kripke - 1963 - In Michael Dummett & J. N. Crossley (eds.), Formal Systems and Recursive Functions. Amsterdam,: North Holland. pp. 92-130.
Solution of a problem of Leon Henkin.M. H. Löb - 1955 - Journal of Symbolic Logic 20 (2):115-118.
Pragmatics.Richard Montague - 1968 - In R. Klibansky (ed.), Contemporary Philosophy: A Survey, Volume 1. La Nuova Italia Editrice. pp. 102--22.

View all 17 references / Add more references