Abstract
In 1993, Xu (1993) proposed a kind of lattice structure by combining lattice and implication algebra, named lattice implication algebra, which is a new logical algebraic system. The aims of lattice implication algebras are to process fuzziness and incomparability associated with human’s intelligent activities in the real world. From the symbolism point of view, intelligent information processing depends on the logical foundation and the corresponding uncertainty reasoning theory. Inspired by these academic ideas, Xu et al. (2000a,b,c, 2001a,b, 2003, 2007a,b) investigated lattice valued logic based on lattice implication algebras, and the corresponding theories and methods of uncertainty reasoning and automated reasoning. According to these research works, in last few years, Xu’s research group and some other researchers have done many works on linguistic truth-valued lattice implication algebra [Ma et al. (2006); Meng et al. (2006); Pei and Xu (2004); Pei (2007); Xu et al. (2006b)], linguistic truth-valued propositional logic [Ma et al. (2004); Zou et al. (2005b, 2006)], linguistic truth-valued uncertainty reasoning [Chen et al. (2005); Li et al. (2007); Pei et al. (2007a); Zou et al. (2008)] and automated reasoning theory and approaches [Li et al. (2006); Liu et al. (2003);Ma et al. (2006, 2007);Meng et al. (2003, 2005); Xu et al. (2007b); Zou et al. (2005a)]. These research works provided new approaches for linguistic information processing.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2009 Atlantis Press /World Scientific
About this chapter
Cite this chapter
Pei, Z., Ruan, D., Liu, J., Xu, Y. (2009). Linguistic Information Processing Based on Lattice Structrure. In: Linguistic Values Based Intelligent Information Processing: Theory, Methods, and Applications. Atlantis Computational Intelligence Systems, vol 1. Atlantis Press. https://doi.org/10.2991/978-94-91216-28-2_4
Download citation
DOI: https://doi.org/10.2991/978-94-91216-28-2_4
Publisher Name: Atlantis Press
Online ISBN: 978-94-91216-28-2
eBook Packages: Computer ScienceComputer Science (R0)