【摘要】 本文进一步研究了具有广泛应用的一类模糊逻辑代数系统——剩余格，并引入了正则剩余格的概念，对剩余格与正则剩余格的定义进行了讨论，给出了剩余格与正则剩余格的特征定理，其中包含剩余格与正则剩余格的等式特征，从而这两个格类都构成簇．本文还讨论了剩余格与正则剩余格公理系统的独立性，以及它们与相近代数结构的关系．更多还原

【Abstract】 In this paper, the residuated lattices are further studied because of their wide applications, and a kind of new fuzzy logic algebra structure-regular residuated lattices are introduced. The concepts and properties of residuated lattices and regular residuated lattices are discussed, and some characteristic theorems are obtained. In them, there are the equational characterization of residuated lattices and regular residuated lattices. This shows that the classes of all residuated lattices and all regular residuated lattices form varieties. In this paper, the independence problem of axiom systems of residuated lattices and regular residuated lattices also are studied.更多还原