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Beschreibung
This book introduces the theory of graded consequence (GCT) and its mathematical formulation. It also compares the notion of graded consequence with other notions of consequence in fuzzy logics, and discusses possible applications of the theory in approximate reasoning and decision-support systems. One of the main points where this book emphasizes on is that GCT maintains the distinction between the three different levels of languages of a logic, namely object language, metalanguage and metametalanguage, and thus avoids the problem of violation of the principle of use and mention; it also shows, gathering evidences from existing fuzzy logics, that the problem of category mistake may arise as a result of not maintaining distinction between levels.
This book introduces the theory of graded consequence (GCT) and its mathematical formulation. It also compares the notion of graded consequence with other notions of consequence in fuzzy logics, and discusses possible applications of the theory in approximate reasoning and decision-support systems. One of the main points where this book emphasizes on is that GCT maintains the distinction between the three different levels of languages of a logic, namely object language, metalanguage and metametalanguage, and thus avoids the problem of violation of the principle of use and mention; it also shows, gathering evidences from existing fuzzy logics, that the problem of category mistake may arise as a result of not maintaining distinction between levels.
Zusammenfassung

Suggests a general scheme for logic of uncertainty

Outlines the philosophical grounds for use and mention of a symbol

Analyses the metatheory of logic with its distinctive language and interpretation

Presents different logics based on user's choice

Provides a mathematical model applicable to decision-support systems and approximate reasoning

Inhaltsverzeichnis
Introduction.- Basics of GCT.- Incorporating Negation in object language .- Proof theory for graded consequence.- Relationship with some other consequence operators and relations.- Suggested applications.
Details
Erscheinungsjahr: 2020
Fachbereich: Allgemeines
Genre: Importe, Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
Inhalt: xiii
224 S.
16 s/w Illustr.
224 p. 16 illus.
ISBN-13: 9789811389870
ISBN-10: 981138987X
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Chakraborty, Mihir Kumar
Dutta, Soma
Hersteller: Springer
Springer Singapore
Springer Nature Singapore
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 14 mm
Von/Mit: Mihir Kumar Chakraborty (u. a.)
Erscheinungsdatum: 14.08.2020
Gewicht: 0,371 kg
Artikel-ID: 116685683

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