运用Zadeh提出的模糊集概念和运算特征对正则剩余格的模糊⊙理想理论作进一步研究。引入素模糊⊙理想的概念并研究其性质,建立了素模糊⊙理想定理。在全体素模糊⊙理想之集合P P⊙( L)上构造了一个拓扑T,证明了拓扑空间( P P⊙( L),P )是T0空间。
We deeply study the theory of fuzzy⊙-ideals in regular residuated lattices by using the notion of fuzzy set and its operations which proposed by Zadeh.Firstly, the notion of prime fuzzy⊙-ideals is introduced and its properties are studied.And the prime fuzzy⊙-ideals theorem is established.Secondly, a topology T is constructed on the set of all prime fuzzy⊙-ideals PI⊙( L) .It is proved that the topology space ( PI⊙( L) , T ) is T0-space.