Theory of Graded Consequence A General Framework for Logics of Uncertainty 1st edition by Mihir Kumar Chakraborty, Soma Dutta 9811388965 9789811388965

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ISBN-10 :  9811388965 

ISBN-13 : 9789811388965

Author:  Mihir Kumar Chakraborty, Soma Dutta 

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.

Theory of Graded Consequence A General Framework for Logics of Uncertainty 1st Table of contents:

1. Introduction
2. Basics of the Theory of Graded Consequence
3. Introducing Negation () in the Object Language of the Theory of Graded Consequence
4. Proof Theoretic Rules in Graded Consequence: From Semantic Perspective
5. Meta-logical Notions Generalized: Graded Consequence with Fuzzy Set of Premises
6. Graded Consequence and Consequence in Different Approaches to Fuzzy Logics
7. Graded Consequence in Decision-Making: A Few Applications

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Tags: Graded Consequence, General Framework, Logics, Uncertainty, Mihir Kumar Chakraborty, Soma Dutta