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A Geometry of Approximation

A Geometry of Approximation


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About the Book

Perception and Concepts: A Phenomenological.- Observations, Noumena and Phenomena.- Concrete and Formal Information Constructions.- Pre-Topological and Topological Approximation Operators.- Frames (Part I).- The Logico-Algebraic Theory of Rough Sets.- Logic and Rough Sets: An Overview.- Basic Logico-Algebraic Structures.- Local Validity, Grothendieck Topologies and Rough Sets.- Approximation and Algebraic Logic.- A Logico-Philosophic Excursus.- Frames (Part II).- The Modal Logic of Rough Sets.- Modality and Knowledge.- Modalities and Relations.- Modalities, Topologies and Algebras.- The Propositional Modal Logic of Rough Sets.- Frames (Part III).- Mathematical Toolkits.
About the Author:

Piero Pagliani: After studies in Logic, Philosophy of Science, Linguistic, Mathematics and Computer Science, Piero Pagliani graduated in Philosophy at the State University of Milan. Italy. After serving large IT companies, at present Piero Pagliani is a knowledge management consultant. A researcher in the field of algebraic logic and expert systems, he is the author of a number of scientific papers and co-author of three books on Rough Set Theory published by Physica-Verlag. Piero Pagliani had been a lecturer in Model Theory at the Faculty of Computer Science of the University of Rome "La Sapienza" and gave talks and lectures in China, France, Germany, Japan, Poland, Romania, Canada, USA and India, where he collaborates with the Calcutta Logic Circle and the Department of Pure Mathematics of the University of Calcutta.

Mihir K. Chakraborty: Received Masters Degree in Pure Mathematics from the university of Calcutta and Ph. D. in Functional Analysis from the University of Kalyani, West Bengal, India. Tought in several universities. At present Professor of Pure Mathematics, University of Calcutta. Held visiting assignments in variuos institutions and universities of India and abroad. Founder of Calcutta logic circle and mebber of many academic bodies of India and abroad e.g. the editorial board of TRS. Published about 100 articles in international journals. Research interest: Logic, Rough Set Theory, Fuzzy set Theory, Many valued Logics, Non-monotonic Logics, Algebraic Logic, Functional Analysis, Foundation and philosophy of mathematics and science.


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Product Details
  • ISBN-13: 9781402086212
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Depth: 51
  • Height: 234 mm
  • No of Pages: 704
  • Series Title: Trends in Logic
  • Sub Title: Rough Set Theory: Logic, Algebra and Topology of Conceptual Patterns
  • Width: 156 mm
  • ISBN-10: 1402086210
  • Publisher Date: 01 Nov 2008
  • Binding: Hardback
  • Edition: 2008 ed.
  • Language: English
  • Returnable: N
  • Spine Width: 41 mm
  • Weight: 1318 gr


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