借助有界可测函数关于模糊测度的不对称Choquet积分,得到了模糊测度的空间中的一种新的收敛性:B-收敛.进一步地,得到了在模糊测度的空间中B-收敛与BV-收敛和B^+-收敛之间的关系:μi→^RVμ=〉μi→^Bμ=〉μi→^B+μ,以及在什么样的条件下两个逆命题成立.
From the asymmetric Choquet integral of a bounded measurable function with respect to a fuzzy measure, a new ships, space kind of convergence in the space of fuzzy measures,B - convergence,is obtained. Furthermore, the relationships μi→^RVμ=〉μi→^Bμ=〉μi→^B+μ among B - convergence, BV- convergence and B+ - convergence in the of fuzzy measures are derived and it is also shown in what conditions the two contrary propositions are true.