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Granular Computing in Decision Approximation

An Application of Rough Mereology

  • Book
  • © 2015

Overview

  • Recent research on Granular Computing in Decision Approximation
  • Fully develops the topic of granular computing in classifier synthesis
  • Presents applied algorithms which are illustrated with simple hand examples
  • Includes supplementary material: sn.pub/extras

Part of the book series: Intelligent Systems Reference Library (ISRL, volume 77)

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Table of contents (11 chapters)

Keywords

About this book

This book presents a study in knowledge discovery in data with knowledge understood as a set of relations among objects and their properties. Relations in this case are implicative decision rules and the paradigm in which they are induced is that of computing with granules defined by rough inclusions, the latter introduced and studied within rough mereology, the fuzzified version of mereology. In this book basic classes of rough inclusions are defined and based on them methods for inducing granular structures from data are highlighted. The resulting granular structures are subjected to classifying algorithms, notably k—nearest neighbors and bayesian classifiers.

Experimental results are given in detail both in tabular and visualized form for fourteen data sets from UCI data repository. A striking feature of granular classifiers obtained by this approach is that preserving the accuracy of them on original data, they reduce substantially the size of the granulated data set as well as the set of granular decision rules. This feature makes the presented approach attractive in cases where a small number of rules providing a high classification accuracy is desirable. As basic algorithms used throughout the text are explained and illustrated with hand examples, the book may also serve as a textbook.

Reviews

“The book provides an extended presentation of granular computing, focusing on applications in classification/decision theory. … the book is intended to students and researchers interested in granular computing.” (Florin Gorunescu, zbMATH 1314.68006, 2015)

Authors and Affiliations

  • Department of Mathematics and Computer Science, University of Warmia and Mazury, Department of Computer Science, Polish-Japanese Institute of Information Technology, Warsaw, Poland, and, Olsztyn, Poland

    Lech Polkowski

  • Department of Mathematics and Computer Science, University of Warmia and Mazury, Olsztyn, Poland

    Piotr Artiemjew

Bibliographic Information

  • Book Title: Granular Computing in Decision Approximation

  • Book Subtitle: An Application of Rough Mereology

  • Authors: Lech Polkowski, Piotr Artiemjew

  • Series Title: Intelligent Systems Reference Library

  • DOI: https://doi.org/10.1007/978-3-319-12880-1

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-12879-5Published: 14 April 2015

  • Softcover ISBN: 978-3-319-36621-0Published: 06 October 2016

  • eBook ISBN: 978-3-319-12880-1Published: 06 April 2015

  • Series ISSN: 1868-4394

  • Series E-ISSN: 1868-4408

  • Edition Number: 1

  • Number of Pages: XV, 452

  • Number of Illustrations: 230 b/w illustrations

  • Topics: Computational Intelligence, Artificial Intelligence

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