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Theory of graded consequence = a gen...
~
Dutta, Soma.
Theory of graded consequence = a general framework for logics of uncertainty /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Theory of graded consequence/ by 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 - Problems, exercises, etc. -
Online resource:
https://doi.org/10.1007/978-981-13-8896-5
ISBN:
9789811388965
Theory of graded consequence = a general framework for logics of uncertainty /
Chakraborty, Mihir Kumar.
Theory of graded consequence
a 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
Standard No.: 10.1007/978-981-13-8896-5doiSubjects--Topical Terms:
580379
Logic, Symbolic and mathematical
--Problems, exercises, etc.
LC Class. No.: QA9.A1 / C435 2019
Dewey Class. No.: 511.3
Theory of graded consequence = a general framework for logics of uncertainty /
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24 cm.
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Logic in asia: studia logica library,
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Introduction -- Basics of GCT -- Incorporating Negation in object language -- Proof theory for graded consequence -- Relationship with some other consequence operators and relations -- Suggested applications.
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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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Religion and Philosophy (Springer-41175)
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