Xu / Ruan / Qin Lattice-Valued Logic

An Alternative Approach to Treat Fuzziness and Incomparability
Erscheinungsjahr 2012
ISBN: 978-3-540-44847-1
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 132, 390 Seiten, eBook

Reihe: Studies in Fuzziness and Soft Computing

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.

Zielgruppe

Research

Autoren/Hrsg.

Xu, Yang

Ruan, Da

Qin, Keyun

Liu, Jun

Inhaltsverzeichnis

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.