Approximate Reasoning by Parts: An Introduction to Rough Mereology by Lech PolkowskiApproximate Reasoning by Parts: An Introduction to Rough Mereology by Lech Polkowski

Approximate Reasoning by Parts: An Introduction to Rough Mereology

byLech Polkowski

Hardcover | July 16, 2011

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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.

Title:Approximate Reasoning by Parts: An Introduction to Rough MereologyFormat:HardcoverDimensions:346 pages, 23.5 × 15.5 × 0.03 inPublished:July 16, 2011Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3642222781

ISBN - 13:9783642222788

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Table of Contents

From the content: Concepts. Aristotelian and Set-theoretic Approaches.- Topology of Concepts.- Reasoning. Patterns of Deductive Reasoning.- Reductive Reasoning. Rough and Fuzzy Sets as Frameworks for Reductive Reasoning.- Mereology.