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格蕴涵代数不等式
引用本文:赖家俊,徐扬.格蕴涵代数不等式[J].江南大学学报(自然科学版),2007,6(3):366-370.
作者姓名:赖家俊  徐扬
作者单位:西南交通大学,智能控制开发中心,四川,成都,610031
基金项目:国家自然科学基金项目(60474022),教育部博士点基金项目(20060613007)
摘    要:针对逻辑代数中的不等关系提出格蕴涵代数不等式的概念,讨论了格蕴涵代数中3类最基本的一元格蕴涵不等式,得到一些性质及推论.对3类不等式的可解情况,给出了它们的可解条件,在此基础上讨论了解集所具有的特征.

关 键 词:格蕴涵代数  格蕴涵代数不等式  解集
文章编号:1671-7147(2007)03-0366-05
收稿时间:2006-09-22
修稿时间:2006-09-222006-12-15

Inequality of Lattice Implication Algebra
LAI Jia-jun,XU Yang.Inequality of Lattice Implication Algebra[J].Journal of Southern Yangtze University:Natural Science Edition,2007,6(3):366-370.
Authors:LAI Jia-jun  XU Yang
Institution:Intelligent Control Development Center, Southwest Jiaotong University, Chengdu 610031, China
Abstract:In this article,according to the theory of logic algebra inequality,the notion of inequality in lattice implication algebra was introduced,three typical basic unary lattice implication algebra inequalities in lattice implication algebra L were investigated,and some properties and corollaries were obtained.We presents condition of solvable,and investigate several characterizations of solution set in unary lattice implication algebra inequalities.
Keywords:lattice implication algebra  lattice implication algebra inequality  solution set
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