Lattice-Valued Logic: An Alternative Approach to Treat Fuzziness and Incomparability / Edition 1

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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.

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Product Details

  • ISBN-13: 9783540401759
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 9/10/2003
  • Series: Studies in Fuzziness and Soft Computing Series, #132
  • Edition description: 2003
  • Edition number: 1
  • Pages: 390
  • Product dimensions: 1.00 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

List of Symbols
List of Figures
List of Tables
1 Introduction 3
2 Concepts and Properties 27
3 Filters 59
4 LI-Ideals 85
5 Homomorphisms and Representations 101
6 Topological Structure of Filter Spaces 135
7 Connections with Related Algebras 153
8 Related Issues 171
9 Lattice-Valued Propositional Logics 207
10 Lattice-Valued First-Order Logics 259
11 Uncertainty and Automated Reasoning 305
References 361
Index 389
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