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Theory of Graded Consequence

A General Framework for Logics of Uncertainty

  • Mihir Kumar Chakraborty
  • Soma Dutta
Book
  • 360 Downloads

Part of the Logic in Asia: Studia Logica Library book series (LIAA)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Mihir Kumar Chakraborty, Soma Dutta
    Pages 1-18
  3. Mihir Kumar Chakraborty, Soma Dutta
    Pages 19-44
  4. Mihir Kumar Chakraborty, Soma Dutta
    Pages 83-124
  5. Mihir Kumar Chakraborty, Soma Dutta
    Pages 153-173
  6. Mihir Kumar Chakraborty, Soma Dutta
    Pages 175-218
  7. Back Matter
    Pages 219-224

About this book

Introduction

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.

Keywords

Approximate Reasoning Decision Support System Fuzzy Logics Graded Inconsistency Graded Consequence Inconsistency-tolerant Logics Many-valued Logics Residuated Lattices Syntactic and Semantic Approaches

Authors and affiliations

  • Mihir Kumar Chakraborty
    • 1
  • Soma Dutta
    • 2
  1. 1.University of CalcuttaKolkataIndia
  2. 2.Department of Mathematics and Computer ScienceUniversity of Warmia and Mazury in OlsztynOlsztynPoland

Bibliographic information