- Hauptmenü-

Katalogdatenanzeige

Approximate Reasoning by Parts: An Introduction to Rough Mereology

Kataloginformation Katalogdatensatz500164394 .

Kataloginformation
Feldname	Details
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
Erscheinungsjahr	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

ISBD-Anzeige Katalogdatensatz500164394

Kategorien-Anzeige Katalogdatensatz500164394

Titel zur Titelsammlung hinzufügen Katalogdatensatz500164394

Kataloginformation500164394 Datensatzanfang . Kataloginformation500164394 Seitenanfang .

Titel vormerken Katalogdatensatz500164394

Vollanzeige Katalogdaten

Auf diesem Bildschirm erhalten Sie Katalog- und Exemplarinformationen zum ausgewählten Titel.

Im Bereich Kataloginformation werden die bibliographischen Details angezeigt. Per Klick auf Hyperlink-Begriffe wie Schlagwörter, Autoren, Reihen, Körperschaften und Klassifikationen können Sie sich weitere Titel des gewählten Begriffes anzeigen lassen.

Der Bereich Exemplarinformationen enthält zum einen Angaben über den Standort und die Verfügbarkeit der Exemplare. Zum anderen haben Sie die Möglichkeit, ausgeliehene Exemplare vorzumerken oder Exemplare aus dem Magazin zu bestellen.