(■,■∨■)-模糊子群的水平子群

((■,■∨■)-fuzzy Subgoup

针对模糊点与模糊集的邻属关系,引入了模糊集的1种新的截集,并利用这种截集刻画了(∈,∈∨q)-模糊子群.我们还引入了正规(∈,∈∨q)-模糊子群的概念,并讨论了正规(∈,∈∨q)-模糊子群与这种截集之间的关系.

In this paper, we introduce a new kind of cut sets in fuzzy sets in terms of the “belong-to” relation of fuzzy points and fuzzy sets. Then, we investigate （^-∈,^-∈V^-q）-fuzzy subgronp with this cut set. We also introduce the concept of normal （^-∈,^-∈V^-q）-fuzzy subgroup, and discuss the relation between the normal （^-∈,^-∈V^-q）-fuzzy subgroup and the new cut set.