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格蕴涵代数的区间值T-模糊滤子理论 被引量:3

Interval-valued T-fuzzy Filters on Lattices Implication Algebras
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摘要 将区间值模糊集和D[0,1]上的t-模T应用于格蕴涵代数的滤子理论,引入格蕴涵代数的区间值T-模糊(关联、正关联)滤子的概念,给出了它们的等价刻画,研究了它们之间的关系。 Interval-valued fuzzy set and a t-norm on D[O, 1] are applied to the filter theory of lattice implication algebras. The concepts of interval-valued £--fuzzy (implicative, positive implicative) filters with respect to a t-norm £- on D [ O, 1 ] are proposed, some equivalent characterizations of these generalized fuzzy filters are derived and the relations among them are studied.
作者 刘熠 钟纯真
出处 《模糊系统与数学》 CSCD 北大核心 2013年第4期74-83,共10页 Fuzzy Systems and Mathematics
基金 国家自然科学基金资助项目(61175055) 四川省教育厅科研项目(11ZB023)
关键词 格蕴涵代数 区间值模糊集 T-模 区间值T-模糊(关联、正关联)滤子 Lattice Implication Algebras Interval-valued Fuzzy Set t-norm Interval-valued Fuzzy £--fuzzy(Implicative, Positive Implicative)
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