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

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

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 , #132
Edition description:	2003
Pages:	390
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

I Introduction.- 1 Introduction.- II Lattice Implication Algebras.- 2 Concepts and Properties.- 3 Filters.- 4 LI-Ideals.- 5 Homomorphisms and Representations.- 6 Topological Structure of Filter Spaces.- 7 Connections with Related Algebras.- 8 Related Issues.- III Lattice-Valued Logic Systems.- 9 Lattice-Valued Propositional Logics.- 10 Lattice-Valued First-Order Logics.- 11 Uncertainty and Automated Reasoning.- References.