Theory of Graded Consequence : a General Framework for Logics of Uncertainty.
2019
QA9.A1 C45 2019
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Details
Title
Theory of Graded Consequence : a General Framework for Logics of Uncertainty.
Author
Chakraborty, Mihir Kumar.
ISBN
9789811388965
9811388962
9811388946
9789811388941
9811388962
9811388946
9789811388941
Publication Details
Singapore : Springer, 2019.
Language
English
Description
1 online resource (235 pages)
Item Number
10.1007/978-981-13-8
Call Number
QA9.A1 C45 2019
Dewey Decimal Classification
511.3
Summary
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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Source of Description
Description based on print version record.
Added Author
Dutta, Soma.
Series
Logic in Asia: Studia Logica Library.
Available in Other Form
Theory of Graded Consequence : A General Framework for Logics of Uncertainty.
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Table of Contents
Introduction
Basics of GCT
Incorporating Negation in object language
Proof theory for graded consequence
Relationship with some other consequence operators and relations
Suggested applications.
Basics of GCT
Incorporating Negation in object language
Proof theory for graded consequence
Relationship with some other consequence operators and relations
Suggested applications.