摘要
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→BVμμi→Bμμi→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.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2006年第5期598-602,共5页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(10271035
10571035)
