Yang Xu, Da Ruan, Keyun Qin

Lattice-Valued Logic

An Alternative Approach to Treat Fuzziness and Incomparability

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Studies in Fuzziness and Soft Computing 132
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-642-07279-6
• Softcover reprint of hardcover 1st ed. 2003
• Seitenzahl: 412
• Erscheinungstermin: 5. Dezember 2010
• Englisch
• Abmessung: 235mm x 155mm x 23mm
• Gewicht: 622g
• ISBN-13: 9783642072796
• ISBN-10: 3642072798
• Artikelnr.: 32073002

Inhaltsangabe

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.