| BCK(BCI)-代数中的L-fuzzy理想 |
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| 引用本文： | 蒲义书.BCK(BCI)-代数中的L-fuzzy理想[J].陕西理工学院学报(社会科学版),2000(6). |
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| 作者姓名： | 蒲义书 |
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| 作者单位： | 汉中师范学院!陕西汉中723000 |
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| 摘 要： | 研究BCK(BCI)_代数中的L_fuzzy理想 ,其中L为至少含有两个元素的格 .研究了BCK(BCI)_代数中的L_fuzzy理想及其相应的截理想之间的关系 .对BCI_代数 ,引入了L_fuzzy闭理想、L_fuzzy正则理想 ,研究了两者之间的关系 .得到的结论是 :任一L_fuzzy正则理想一定是L_fuzzy闭理想 ,在任一p_半单BCI_代数中 ,L_fuzzy闭理想一定是L_fuzzy正则理想 .对BCK_代数 ,引入了L_fuzzy关联理想的概念 ,得到了它的一些等价特性 ,并用L_fuzzy关联理想刻划了关联BCI_代数
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| 关 键 词： | L_fuzzy理想 L_fuzzy关联理想 L_fuzzy闭理想 L_fuzzyp_理想 L_fuzzy正则理想 |
L-fuzzy Ideal in the BCK(BCI)-algebra |
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| PU Yi_shu.L-fuzzy Ideal in the BCK(BCI)-algebra[J].Journal of Shaanxi University of Technology:Social Sciences,2000(6). |
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| Authors: | PU Yi_shu |
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| Abstract: | In this paper, study L _fuzzy ideal of BCK(BCI)_algebras, L is a lattice, at least coutain two element. L _fuzzy ideal M and level set of M of BCK_algebra was introduced. For BCI_algebra, the paper introduce L _fuzzy closed ideal and L _fuzzy regular ideal, obtain following result: any L _fuzzy regular ideal is a L _fuzzy closed ideal; in p _semismple BCI_algebra, L _fuzzy closed ideal is L _fuzzy regular ideal, moveover, also introduce L _fuzzy implication ideal, obtain some equational propertys. |
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| Keywords: | L _fuzzy ideals L _fuzzy implicative ideals L _fuzzy closed ideals L _fuzzy p _ideals L _fuzzy regular idealsh |
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