【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_代数更多还原

【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.更多还原