正则剩余格上的广义模糊蕴涵理想

The Generalized Fuzzy Implication Ideals of Regular Residuated Lattices

给出正则剩余格的(α,β)一模糊蕴涵理想的概念,初步讨论了它们的一些性质及其问的关系;与(∈,∈∨q)-模糊蕴涵理想对应的讨论了(∈,∈∨q)-模糊蕴涵理想的性质;最后将正则剩余格的(α,β)-模糊蕴涵理想作进一步拓展,得有限个(λ,μ)-模糊蕴涵理想的交集仍然是(λ,μ)-模糊蕴涵理想,并描述了(λ,μ),(∈,∈∨q_((λ,μ)))-模糊蕴涵理想的性质。

The concept of （α,β） - fuzzy implication ideal of regular residuated lattice is given, some of its properties and the relations are discussed preliminarily l and the corresponding （∈,∈Vq）- fuzzy implication ideal, the properties of （∈,∈Vq）- fuzzy implication ideal are investigatedl finally,to further expand （α,β） - fuzzy implication ideal, the intersection of a finite number of （λ,μ）--fuzzy implication ideals still is （λ,μ）-fuzzy implication ideal, and properties of （λ,μ）, （∈,∈Vq（λ,μ）） --fuzzy implication ideals are described.