Lattice-Valued Logic: An Alternative Approach to Treat Fuzziness and Incomparability / Edition 1

Lattice-Valued Logic: An Alternative Approach to Treat Fuzziness and Incomparability / Edition 1

by Yang Xu, Da Ruan, Keyun Qin, Jun Liu
     
 

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

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Overview

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.

Product Details

ISBN-13:
9783540401759
Publisher:
Springer Berlin Heidelberg
Publication date:
09/10/2003
Series:
Studies in Fuzziness and Soft Computing Series, #132
Edition description:
2003
Pages:
390
Product dimensions:
1.00(w) x 6.14(h) x 9.21(d)

Related Subjects

Table of Contents

Preface
List of Symbols
List of Figures
List of Tables
1Introduction3
2Concepts and Properties27
3Filters59
4LI-Ideals85
5Homomorphisms and Representations101
6Topological Structure of Filter Spaces135
7Connections with Related Algebras153
8Related Issues171
9Lattice-Valued Propositional Logics207
10Lattice-Valued First-Order Logics259
11Uncertainty and Automated Reasoning305
References361
Index389

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