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格蕴涵代数的区间值T-模糊滤子理论
Interval-valued T-fuzzy Filters on Lattices Implication Algebras
【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。
【Abstract】 Interval-valued fuzzy set and at-norm on D[0, 1] are applied to the filter theory of lattice implication algebras. The concepts of interval-valued T-fuzzy(implicative, positive implicative) filters with respect to at-normTon D[0, 1 ] are proposed, some equivalent characterizations of these generalized fuzzy filters are derived and the relations among them are studied.
【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;
【Key words】 Lattice Implication Algebras; Interval-valued Fuzzy Set; t-norm; Interval-valued FuzzyT-fuzzy(Implicative,Positive Implicative);
【Key words】 Lattice Implication Algebras; Interval-valued Fuzzy Set; t-norm; Interval-valued FuzzyT-fuzzy(Implicative,Positive Implicative);
【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)
- 【文献出处】 模糊系统与数学 ,Fuzzy Systems and Mathematics , 编辑部邮箱 ,2013年04期
- 【分类号】O159
- 【被引频次】3
- 【下载频次】43