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Theory of graded consequencea genera...

Chakraborty, Mihir Kumar.

Theory of graded consequencea general framework for logics of uncertainty /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Theory of graded consequenceby Mihir Kumar Chakraborty, Soma Dutta.
Reminder of title:	a general framework for logics of uncertainty /
Author:	Chakraborty, Mihir Kumar.
other author:	Dutta, Soma.
Published:	Singapore :Springer Singapore :2019.
Description:	xiii, 224 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Logic, Symbolic and mathematical
Online resource:	https://doi.org/10.1007/978-981-13-8896-5
ISBN:	9789811388965$q(electronic bk.)

Theory of graded consequencea general framework for logics of uncertainty /
Chakraborty, Mihir Kumar.

Theory of graded consequencea general framework for logics of uncertainty /[electronic resource] :by Mihir Kumar Chakraborty, Soma Dutta. - Singapore :Springer Singapore :2019. - xiii, 224 p. :ill., digital ;24 cm. - Logic in asia: studia logica library,2364-4613. - Logic in asia: studia logica library..

Introduction -- Basics of GCT -- Incorporating Negation in object language -- Proof theory for graded consequence -- Relationship with some other consequence operators and relations -- Suggested applications.

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.

ISBN: 9789811388965$q(electronic bk.)

Standard No.: 10.1007/978-981-13-8896-5doiSubjects--Topical Terms:

254195
Logic, Symbolic and mathematical

LC Class. No.: QA9.A1 / C435 2019

Dewey Class. No.: 511.3

Theory of graded consequencea general framework for logics of uncertainty /
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245 1 0 $a Theory of graded consequence $h [electronic resource] : $b a general framework for logics of uncertainty / $c by Mihir Kumar Chakraborty, Soma Dutta.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2019.
300 $a xiii, 224 p. : $b ill., digital ; $c 24 cm.
490 1 $a Logic in asia: studia logica library, $x 2364-4613
505 0 $a Introduction -- Basics of GCT -- Incorporating Negation in object language -- Proof theory for graded consequence -- Relationship with some other consequence operators and relations -- Suggested applications.
520 $a 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.
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