| 格蕴涵代数的Fuzzy LI-理想 |
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| 引用本文： | 刘用麟.格蕴涵代数的Fuzzy LI-理想[J].南平师专学报,2004,23(4):5-8. |
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| 作者姓名： | 刘用麟 |
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| 作者单位： | 南平师范高等专科学校,数学系,福建,南平,353000 |
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| 基金项目： | 国家自然科学基金资助项目(69972036,60074014)
福建省教育厅自然科学基金资助项目(JA03164) |
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| 摘 要： | 引进了格蕴涵代数的Fuzzy素LI-理想和Fuzzy极大LI-理想的概念，探讨了Fuzzy ILI-理想的一些性质，获得了格蕴涵代数的Fuzzy素LI-理想九个特征与格H蕴涵代数的Fuzzy素LI-理想的八个特征。给出了Fuzzy素LI-理想的扩展性质，建立了各类Fuzzy LI-理想与LI-理想的联系，引进了格蕴涵数的Fuzzy零LI-理想。最后用相应的Fuzzy LI-理想刻画了某些类型的格蕴涵代数。
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| 关 键 词： | 格蕴涵代数 理想 刻画 性质 联系 引进 特征 概念 类型 |
Some Fuzzy LI - Ideals in Lattice Implication Algebras |
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| Abstract.Some Fuzzy LI - Ideals in Lattice Implication Algebras[J].Journal of Nanping Teachers College,2004,23(4):5-8. |
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| Authors: | Abstract |
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| Abstract: | The purpose of this paper is to introduce the notions of fuzzy prime LI - ideals and fuzzy maximal LI - ideals in lattice implication algebras. Some properties of fuzzy ILI - ideals are investigated. Nine characterizations of fuzzy prime LI - ideals in lattice implication algebras and eight characterizations of fuzzy prime LI - ideals in lattice H implication algebras are obtained. The extension properties of fuzzy prime LI - ideals is given. The relations among various fuzzy LI - ideals and LI - ideals are established, respectively. We introduce the notion of fuzzy zero LI - ideals of lattice implication algebras. Finally we describe some classes of lattice implication algebras via fuzzy ILI - ideals (resp. fuzzy prime LI - ideals, fuzzy maximal LI - ideals). |
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| Keywords: | Lattice implication algebra LI-ideal Fuzzy LI-ideal |
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