Lattice-Valued Logic

An Alternative Approach to Treat Fuzziness and Incomparability
2003
ISBN: 978-3-540-40175-9
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 132, 390 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1690 g

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

Liu, Jun

Ruan, Da

Qin, Keyun

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Fuzzy-Systeme
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Maschinelles Lernen
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten

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.