Research of Unary Lattice Implication Algebra Equations on Interval Sets

被引：0

作者：

Du, Haocui ^{[1
]}

Sun, Bin ^{[1
]}

Yao, Yingle ^{[1
]}

机构：

[1] ZhengZhou HuaXi Univ, Dept Informat Engn, Xinzheng 451150, Peoples R China

来源：

ADVANCES IN APPLIED SCIENCES AND MANUFACTURING, PTS 1 AND 2 | 2014年 / 850-851卷

关键词：

The interval sets; Lattice implication algebra; Unary lattice implication Algebra equations; Solution set;

D O I：

10.4028/www.scientific.net/AMR.850-851.761

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The concepts are re-defined on the interval sets which are filter, prime filter, LI-ideal, dual atom and convex sub-lattice in the lattice implication algebra. Three basic unary lattice implication algebra equations on the interval sets are researched. The necessary and sufficient conditions for existence of solutions for the equations are presented. And some properties of equation sets also are given.

引用

页码：761 / 766

页数：6

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