| R_0代数的滤子理论 |
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| 引用本文： | 张花荣,谢强军.R_0代数的滤子理论[J].模糊系统与数学,2009,23(3). |
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| 作者姓名： | 张花荣 谢强军 |
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| 作者单位： | 1. 中国计量学院,理学院,浙江,杭州,310018
2. 杭州电子科技大学,理学院,浙江,杭州,310018 |
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| 摘 要： | 在R0代数中引入了正蕴涵滤子、奇异滤子、MV滤子的概念,讨论了这些滤子的性质及关系.得到了:在R0代数上,蕴涵滤子、正蕴涵滤子、布尔滤子是等价的;奇异滤子与MV滤子是等价的;正蕴涵滤子是奇异滤子,但反之不真.
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| 关 键 词： | R0代数 滤子 蕴涵滤子 正蕴涵滤子 布尔滤子 奇异滤子 MV滤子 |
Filter Theory of R_0 Algebras |
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| ZHANG Hua-rong,XIE Qiang-jun.Filter Theory of R_0 Algebras[J].Fuzzy Systems and Mathematics,2009,23(3). |
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| Authors: | ZHANG Hua-rong XIE Qiang-jun |
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| Institution: | 1.School of Science;China Jiliang University;Hangzhou 310018;China;2.School of Science;Hangzhou Dianzi University;China |
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| Abstract: | The notions of positive implicative filters,fantastic filters and MV filters in R0 algebras are introduced;the properties and relations of these filters are studied.The main results are as follow: in R0 algebras,positive implicative filters,implicative filters,Boolean filters are equivalent;fantastic filters are equivalent to MV filters;any positive implicative filter is a fantastic filter,but the converse is not true. |
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| Keywords: | R0 Algebra Positive Implicative Filter Implicative Filter Boolean Filter Fantastic Filter MV Filter |
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