Theory of Graded Consequence

A General Framework for Logics of Uncertainty

Mihir Kumar Chakraborty, Soma Dutta (Autoren)

Buch | Softcover

224 Seiten

2020 | 1st ed. 2019
Springer Verlag, Singapore
978-981-13-8987-0 (ISBN)

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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.

Introduction.- Basics of GCT.- Incorporating Negation in object language .- Proof theory for graded consequence.- Relationship with some other consequence operators and relations.- Suggested applications.

Erscheinungsdatum	21.08.2020
Reihe/Serie	Logic in Asia: Studia Logica Library
Zusatzinfo	16 Illustrations, black and white; XIII, 224 p. 16 illus.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika
	Geisteswissenschaften ► Philosophie ► Logik
	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
Schlagworte	Approximate Reasoning • Decision support system • Fuzzy Logics • graded consequence • Graded Inconsistency • Inconsistency-tolerant Logics • Many-valued logics • Residuated lattices • Syntactic and Semantic Approaches
ISBN-10	981-13-8987-X / 981138987X
ISBN-13	978-981-13-8987-0 / 9789811389870
Zustand	Neuware