引入了模糊弱-稳定完全分配格的概念,证明了模糊序半群的下集格带有合适的运算是模糊弱-稳定完全分配格,给出了模糊Quantale是模糊弱-稳定完全分配格的充要条件;讨论了模糊Quantale中的投射对象,证明了模糊Quantale中的E-投射对象恰是模糊弱-稳定完全分配格。
The concept of fuzzy weakly -stable completely distributive lattices is introduced. It is proved that the family of all down sets of a fuzzy ordered semigroup with a appropriate operation is a fuzzy weakly -stable completely distributive lattice. A necessary and sufficient condition for a fuzzy completely distributive lattice to be a fuzzy weakly-stable completely distributive lattice is given. Finally,projective objects in the category of fuzzy quantales are studied. It is also proved that the E-projective objects in the category of fuzzy quantales are exactly the fuzzy weakly -stable completely distributive lattices.