| 格蕴涵代数的关联理想与模糊关联理想(英文) |
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| 引用本文： | 赵光峰,徐扬,宋振明.格蕴涵代数的关联理想与模糊关联理想(英文)[J].数学季刊,2001(4). |
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| 作者姓名： | 赵光峰 徐扬 宋振明 |
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| 作者单位： | 西南交通大学应用数学系 四川成都610031
(赵光峰，徐扬)，西南交通大学应用数学系 四川成都610031(宋振明) |
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| 基金项目： | SupportedbytheNaturalScienceFoundation( 6 0 0 740 14 ) |
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| 摘 要： | 本文提出了格蕴涵代数的关联理想和模糊关联理想的概念 ,讨论了它们的性质 ,指出了关联理想与理想、关联理想与关联滤子、关联理想与模糊关联理想、模糊关联理想与模糊关联滤子、模糊关联理想与模糊理想之间的关系
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| 关 键 词： | 格蕴涵代数 模糊理想 模糊滤子 关联理想 模糊关联理想 |
Implicative and Fuzzy Implicative Ideals of Lattice Implication Algebras |
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| ZHAO Guang_feng ,XU Yang ,SONG Zhen_ming.Implicative and Fuzzy Implicative Ideals of Lattice Implication Algebras[J].Chinese Quarterly Journal of Mathematics,2001(4). |
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| Authors: | ZHAO Guang_feng XU Yang SONG Zhen_ming |
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| Institution: | ZHAO Guang_feng 1,XU Yang 2,SONG Zhen_ming 2 |
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| Abstract: | In this paper, we defined the concept of implicative and fuzzy implicative ideals of lattice implication algebras, and discussed the properties of them. And then, we pointed out the relations between implicative ideal and LI _ideal, implicative iedal and implicative filter, implicative ideal and fuzzy implicative ideal, fuzzy implicative ideal and fuzzy implicative filter, and fuzzy implicative ideal and fuzzy LI _ideal. |
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| Keywords: | lattice implication algebra fuzzy LI _ideal fuzzy filter implicative ideal fuzzy implicative ideal |
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