引入正则剩余格的模糊超⊙-理想概念并考察其性质,获得了模糊超⊙-理想的几个等价刻画。在正则剩余格L的全体模糊超⊙-理想集 (L)上定义了格运算∨,∧和逆序对合对应,证明了当L满足条件(P)时,( FH (L),∨,∧, ,0L,1L)构成一个De Morgan代数。在 FH (L)上定义了一个伴随对( , ),证明了当L满足条件(P)时,( FH (L), , , ,0L,1L)也构成一个剩余格。
Firstly, the notion of fuzzy ultra ⊙-ideal is introduced and its properties are investigated in regular residuated lattices, and some equivalent characterizations of fuzzy ultra ⊙-ideals are obtained. Secondly, the lattice operations ∨,∧ and the order-reversing involution on the set (L) of all fuzzy ultra Q-ideals in a regular residuated lattice L are defined. It is proved that ( FH (L),∨,∧ , ,0L ,1L) formes a De Morgan algebra ifL satisfies the condition (P). Fi- nally, the adjoint pair ( , ) on (L) is defined. It is also proved that (FH (L) , , , ,0L, 1L ) formes a residu- ated lattice if L satisfies the condition (P).