Theory of Graded Consequence : a General Framework for Logics of Uncertainty.

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Theory of Graded Consequence : a General Framework for Logics of Uncertainty.

9789811388965
9811388962
9811388946
9789811388941

Singapore : Springer, 2019.

English

1 online resource (235 pages)

10.1007/978-981-13-8

QA9.A1 C45 2019

511.3

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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Logic in Asia: Studia Logica Library.

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