Lattice-Valued Logic

An Alternative Approach to Treat Fuzziness and Incomparability

By: Yang Xu, Da Ruan, Keyun Qin

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Hardcover | 15 July 2003

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Hardcover
420 Pages

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23.5 x 15.88 x 2.54

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Lattice-valued Logic aims at establishing the logical foundation for uncertain information processing routinely performed by humans and artificial intelligence systems. In this textbook for the first time a general introduction on lattice-valued logic is given. It systematically summarizes research from the basic notions up to recent results on lattice implication algebras, lattice-valued logic systems based on lattice implication algebras, as well as the corresponding reasoning theories and methods. The book provides the suitable theoretical logical background of lattice-valued logic systems and supports newly designed intelligent uncertain-information-processing systems and a wide spectrum of intelligent learning tasks.

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Preface
List of Symbols
List of Figures
List of Tables
Introduction	p. 3
Concepts and Properties	p. 27
Filters	p. 59
LI-Ideals	p. 85
Homomorphisms and Representations	p. 101
Topological Structure of Filter Spaces	p. 135
Connections with Related Algebras	p. 153
Related Issues	p. 171
Lattice-Valued Propositional Logics	p. 207
Lattice-Valued First-Order Logics	p. 259
Uncertainty and Automated Reasoning	p. 305
References	p. 361
Index	p. 389
Table of Contents provided by Blackwell. All Rights Reserved.

Lattice-Valued Logic

An Alternative Approach to Treat Fuzziness and Incomparability

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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