Approximate Reasoning by Parts

An Introduction to Rough Mereology
2011
ISBN: 978-3-642-26985-1
Verlag: Springer

Buch, Englisch, Band 20, 346 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 546 g

Reihe: Intelligent Systems Reference Library

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.

Zielgruppe

Research

Autoren/Hrsg.

Polkowski, Lech

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Fuzzy-Systeme
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Wissensbasierte Systeme, Expertensysteme

Inhaltsverzeichnis

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.