Intelligent Systems Reference Library

Approximate Reasoning by Parts

An Introduction to Rough Mereology

Authors: Polkowski, Lech

  • An Introduction to Rough Mereology
  • Recent research on Approximate Reasoning
  • Written by a leading expert in the field
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About this book

--- PLEASE take the tex- version ---

The monograph offers a view on Rough Mereology, a tool for reasoning under uncertainty, which goes back to Mereology, formulated in terms of  parts by Lesniewski, and borrows from Fuzzy Set Theory and Rough Set Theory ideas of the containment to a degree. The result is a theory based on the notion of a part to a degree.

 

One can invoke here a formula Rough: Rough Mereology : Mereology = Fuzzy Set Theory : Set Theory. As with Mereology, Rough Mereology finds important applications in problems of Spatial Reasoning, illustrated in this monograph with examples from Behavioral Robotics. Due to its involvement with concepts, Rough Mereology offers new approaches to Granular Computing, Classifier and Decision Synthesis, Logics for Information Systems, and are--formulation of  well--known ideas of Neural Networks and Many Agent Systems. All these approaches are discussed in this monograph.

 

To make the exposition self--contained,  underlying notions of Set Theory, Topology, and Deductive and Reductive Reasoning with emphasis on Rough and Fuzzy Set Theories along with a thorough exposition of Mereology both in Lesniewski and Whitehead--Leonard--Goodman--Clarke versions are discussed at length.

 

It is hoped that the monograph offers researchers in various areas of Artificial Intelligence a  new tool to deal with analysis of relations among concepts.

Table of contents (9 chapters)

  • On Concepts. Aristotelian and Set—Theoretic Approaches

    Polkowski, Lech

    Pages 1-43

  • Topology of Concepts

    Polkowski, Lech

    Pages 45-78

  • Reasoning Patterns of Deductive Reasoning

    Polkowski, Lech

    Pages 79-143

  • Reductive Reasoning Rough and Fuzzy Sets as Frameworks for Reductive Reasoning

    Polkowski, Lech

    Pages 145-190

  • Mereology

    Polkowski, Lech

    Pages 191-228

Buy this book

eBook £135.50
price for United Kingdom (gross)
  • ISBN 978-3-642-22279-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £169.99
price for United Kingdom (gross)
  • ISBN 978-3-642-22278-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover £139.99
price for United Kingdom (gross)
  • ISBN 978-3-642-26985-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Approximate Reasoning by Parts
Book Subtitle
An Introduction to Rough Mereology
Authors
Series Title
Intelligent Systems Reference Library
Series Volume
20
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer Berlin Heidelberg
eBook ISBN
978-3-642-22279-5
DOI
10.1007/978-3-642-22279-5
Hardcover ISBN
978-3-642-22278-8
Softcover ISBN
978-3-642-26985-1
Series ISSN
1868-4394
Edition Number
1
Number of Pages
XIV, 346
Topics