摘要
在格蕴涵代数中提出了加既约元、乘既约元,研究了一类重要的格蕴涵代数Ln×L2中元素的不可约有限分解,并将这一理论用于研究Ln×L2上的几类格蕴涵代数方程,讨论了方程有解的充分必要条件,在此基础上给出了方程的具体解集。
In this paper, product-irreducible and sum-irreducible element of lattice implication algebra are proposed. The decomposition for the element of Ln×L2 which is an important lattice implication algebra are investigated, and used it to solve some special classes of lattice implication algebra of Ln×L2. The necessary and sufficient conditions to distinguish whether equations have solutions are discussed, on the base of it, the detailed solution set are given.
出处
《模糊系统与数学》
CSCD
北大核心
2009年第6期17-23,共7页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(60875034)
教育部博士点专项基金资助项目(20060613007)
关键词
格蕴涵代数
格蕴涵代数方程
不可约分解
解集
Lattice Implication Algebra
Lattice Implication Algebraic Equations
Irreducible Decompotion
Solution Set
