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

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  • Pages : LXXXII-706
  • Collection : Trends in Logic
  • Nombre de volumes : 1
  • Support : Document imprimé
  • Format : 24 cm.
  • Langues : Anglais
  • Édition : Original
  • Ville : Heidelberg ; Dordrecht ; New York
  • ISBN : 978-1-4020-8621-2
  • Date de création : 04-01-2011
  • Dernière mise à jour : 02-11-2015



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 encyclopædia 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. – Table of contents : Preface. - Glossary of terms. - Introduction. - 1. A Mathematics of Perception. - 2. The Logico-algebraic Theory of Rough Sets. - 3. The Modal Logic of Rough Sets. - 4. A Relational Approach to Rough Sets. - 5. A Dialogical Approach. - Index. - Bibliography. M.-M. V.