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

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...

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Bibliographic Details
Main Authors: Xu, Yang, Ruan, Da (Author), Qin, Keyun (Author), Liu, Jun (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2003, 2003
Edition:1st ed. 2003
Series:Studies in Fuzziness and Soft Computing
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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