Vorliegende Sprache |
eng |
Hinweise auf parallele Ausgaben |
348570422 Buchausg. u.d.T.: ‡Polkowski, Lech: Approximate reasoning by parts |
ISBN |
978-3-642-22278-8 |
Name |
Polkowski, Lech |
T I T E L |
Approximate Reasoning by Parts |
Zusatz zum Titel |
An Introduction to Rough Mereology |
Verlagsort |
Berlin, Heidelberg |
Verlag |
Springer Berlin Heidelberg |
Erscheinungsjahr |
2011 |
2011 |
Umfang |
Online-Ressource (XIV, 346p. 24 illus, digital) |
Reihe |
Intelligent Systems Reference Library ; 20 |
Notiz / Fußnoten |
Description based upon print version of record |
Weiterer Inhalt |
Title Page; Preface; Contents; On Concepts. Aristotelian and Set-Theoretic Approaches; An Aristotelian View on Concepts; From Local to Global: Set Theory; Naïve Set Theory; Algebra of Sets; A Formal Approach; Relations and Functions; Algebra of Relations; Ordering Relations; Lattices and Boolean Algebras; Infinite Sets; Well-Ordered Sets; Finite versus Infinite Sets; Equipotency; Countable Sets; Filters and Ideals; Equivalence Relations; Tolerance Relations; A Deeper Insight into Lattices and Algebras; References; Topology of Concepts; Metric Spaces; Products of Metric Spaces. Compact Metric SpacesComplete Metric Spaces; General Topological Spaces; Regular Open and Regular Closed Sets; Compactness in General Spaces; Continuity; Topologies on Subsets; Quotient Spaces; Hyperspaces; Topologies on Closed Sets; Cech Topologies; References; Reasoning Patterns of Deductive Reasoning; The Nature of Exact Reasoning; Propositional Calculus; Many-Valued Calculi: 3-Valued Logic of Lukasiewicz; Many-Valued Calculi: n-Valued Logic; Many-Valued Calculi: [0,1]-Valued Logics; MV-Algebras; Many-Valued Calculi: Logics of Residual Implications; Automated Reasoning; Predicate Logic. Modal LogicsModal Logic K; Modal Logic T; Modal Logic S4; Modal Logic S5; References; Reductive Reasoning Rough and Fuzzy Sets as Frameworks for Reductive Reasoning; Rough Set Approach Main Lines; Decision Systems; Decision Rules; Dependencies; Topology of Rough Sets; A Rough Set Reasoning Scheme: The Approximate Collage Theorem; A Rough Set Scheme for Reasoning about Knowledge; Fuzzy Set Approach: Main Lines; Residual Implications; Topological Properties of Residual Implications; Equivalence and Similarity in Fuzzy Universe; Inductive Reasoning: Fuzzy Decision Rules. On the Nature of Reductive ReasoningReferences; Mereology; Mereology: The Theory of Lesniewski; A Modern Structural Analysis of Mereology; Mereotopology; Timed Mereology; Spatio-temporal Reasoning: Cells; Mereology Based on Connection; Classes in Connection Mereology; C-Quasi-Boolean Algebra; C-Mereotopology; Spatial Reasoning: Mereological Calculi; On Region Connection Calculus; References; Rough Mereology; Rough Inclusions; Rough Inclusions: Residual Models; Rough Inclusions: Archimedean Models; Rough Inclusions: Set Models; Rough Inclusions: Geometric Models. Rough Inclusions: Information ModelsRough Inclusions: Metric Models; Rough Inclusions: A 3-Valued Rough Inclusion on Finite Sets; Symmetrization of Rough Inclusions; Mereogeometry; Rough Mereotopology; The Case of Transitive and Symmetric Rough Inclusions; The Case of Transitive Non-symmetric Rough Inclusions; Connections from Rough Inclusions; The Case of Transitive and Symmetric Rough Inclusions; The Case of Symmetric Non-transitive Rough Inclusions and the General Case; Rough Inclusions as Many-Valued Fuzzy Equivalences; References. Reasoning with Rough Inclusions: Granular Computing, Granular Logics, Perception Calculus, Cognitive and MAS Reasoning |
Titelhinweis |
Buchausg. u.d.T.: ‡Polkowski, Lech: Approximate reasoning by parts |
ISBN |
ISBN 978-3-642-22279-5 |
ISBN 1-283-47646-0 ebk |
ISBN 978-1-283-47646-1 MyiLibrary |
Klassifikation |
UYQ |
COM004000 |
006.3 |
004 |
Q342 |
ST 301 |
Kurzbeschreibung |
Lech Polkowski |
2. Kurzbeschreibung |
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 in |
1. Schlagwortkette |
Approximatives Schließen |
Mengenlehre |
Fuzzy-Menge |
Grobmenge |
1. Schlagwortkette ANZEIGE DER KETTE |
Approximatives Schließen -- Mengenlehre -- Fuzzy-Menge -- Grobmenge |
2. Schlagwortkette |
Approximatives Schließen |
Mengenlehre |
Fuzzy-Menge |
Grobmenge |
ANZEIGE DER KETTE |
Approximatives Schließen -- Mengenlehre -- Fuzzy-Menge -- Grobmenge |
SWB-Titel-Idn |
350231427 |
Signatur |
Springer E-Book |
Bemerkungen |
Elektronischer Volltext - Campuslizenz |
Elektronische Adresse |
$uhttp://dx.doi.org/10.1007/978-3-642-22279-5 |
Internetseite / Link |
Volltext |
Siehe auch |
Volltext |