(∈,∈∨q)模糊软群与(∈,∈∨q)模糊正规软群

(∈, ∈∨q ) fuzzy soft groups and (∈, ∈∨q ) fuzzy normal soft groups

采用将软集模糊化的方法,提出了群上的(∈,∈∨q)模糊软群和(∈,∈∨q)模糊正规软群的概念,讨论了它们的相关性质并获得了模糊软集成为(∈,∈∨q)模糊(正规)软群的充要条件.进一步引入了(∈,∈∨q)模糊左(右)软陪集的概念,在其上定义运算得到了(∈,∈∨q)模糊商软群.

The notions of （∈,∈Vq）） fuzzy soft groups and（∈,∈Vq）fuzzy normal soft groups over a group are introduced by using the method of fuzzifying soft sets,and their properties are investigated. At the same time, the necessary and sufficient conditions for a fuzzy soft set to be a（∈,∈Vq）fuzzy （normal） soft group are given. Moreover, the concept of （∈,∈Vq）fuzzy left（right） soft eosets is defined, then an operation is defined to make it be a （∈,∈Vq） fuzzy quotient soft group.