摘要
根据L .A .Zadeh的模糊集思想 ,引入BCI 代数的模糊蕴涵理想和模糊特征蕴涵理想的概念 ,证明了 μ是BCI 代数X的模糊蕴涵理想当且仅当 t∈ [0 ,1 ],μt={x∈X ,μ(x)≥t}≠ 时 ,μt 是一个蕴涵理想 ;讨论了模糊蕴涵理想的一系列性质 ,得到了 μ是BCI 代数的模糊特征蕴涵理想当且仅当 μt( t∈Imμ)是其特征蕴涵理想 .
It is introduced that the notions of fuzzy implicative ideals, fuzzy characteristic implicative ideals of a BCI_algebra according to the idea of L.A.Zadeh fuzzy sets. It is show that μ is a fuzzy implicative ideal if and only if μ t=｛x∈X,μ(x)≥t｝(≠) t∈[0,1] is an implicative ideal in BCI_algebra X. A series of properties of fuzzy implicative ideals are discussed. And it is proved that μ is a fuzzy characteristic implicative ideal if and only if μ t(t∈Imμ) is a characteristic implicative ideal in BCI_algebra X.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2001年第2期24-28,共5页
Journal of Shaanxi Normal University：Natural Science Edition
关键词
蕴涵理想
模糊蕴涵理想
模糊特征蕴涵理想
implicative ideal
fuzzy implicative ideal
fuzzy characteristic implicative ideal
