引入Quantic格上的模糊子Quantic格、模糊理想和素模糊理想的概念,研究了模糊理想和素模糊理想的若干性质。讨论了Quantic格模糊理想与模糊子Quantic格之间的关系,给出了模糊理想和素模糊理想的刻画,证明了Quantic格的任意一个理想都可看成是此Quantic格的某一模糊理想的一个截集。
The concepts of fuzzy subquantic lattices, fuzzy ideals and prime fuzzy ideals of a quantic lattice are given. Then the relationships between fuzzy ideals and fuzzy subquantic lattices are discussed and the characterizations of fuzzy ideals and prime fuzzy ideals are studied. It is proved that every ideal of a quantic lattice can be regarded as a cutset of a fuzzy ideal.