摘要
在效应代数中引入模糊滤子和模糊理想的概念,讨论了它们的性质;引入并研究了强模糊滤子;在全序效应代数中提出了一个模糊同余关系并证明了这样生成的同余类是一个全序格效应代数。
We introduce the definition of fuzzy filters and fuzzy ideals in effect algebras and investigate their properties. The definition of strong fuzzy filters are introduced and studied. Moreover,we propose a fuzzy congruence in linearly effect algebras and prove that the fuzzy quotient by the given fuzzy congruence is a linearly lattice ordered effect algebra.
出处
《模糊系统与数学》
CSCD
北大核心
2009年第3期6-16,共11页
Fuzzy Systems and Mathematics
基金
国家自然科学基金重点资助项目(10331010)
关键词
效应代数
滤子
模糊滤子
模糊同余
Effect Algebra
Filters
Fuzzy Filters
Fuzzy Congruence