Introduction to Graded Consequence

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.

Key Emphasis of the Book

One of the main points where this book emphasizes 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 evidence from existing fuzzy logics, that the problem of category mistake may arise as a result of not maintaining distinction between levels.