2012 | OriginalPaper | Chapter
Further Research of Generated Filters in Lattice Implication Algebra
Authors : Ling Guo, Yang Xu, Shaokun Du
Published in: Foundations of Intelligent Systems
Publisher: Springer Berlin Heidelberg
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In this paper we combining LHIA research the generated filters of lattice implication algebra. Firstly some new properties of lattice implication algebra are discussed. Then a structure of generated filter of two filters’ union is obtained. Finally some elementary properties are given and a simple proof of(
F
(
L
), ∨ , ∧ )is a complete distributive lattice is also obtained.