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It is proved that null-null additivity is equivalent to pseudometric generating property for a finite fuzzy measure on S-compact space.

证明了在S紧空间上的一个有限模糊测度是零-零可加的充分必要条件是它有伪距离生成性质。

Meanwhile several propertiesand results will be given for this extension and the absolute integrability will be studiedin deep.

基于伪可加测度的模糊积分是一种特殊的模糊积分,Lebesgue测度与积分是其一种特殊情形。

With four continuity of non-additive set function and the relation of four convergences of the measurable function sequence,four forms Lebesgue theorem about measurable closed-valued functions on monotone measure space are discussed,respectively.

在经典测度论中,Lebesgue定理刻画了实值可测函数序列几乎处处收敛和依测度收敛之间的关系。1984~1986年,王震源[9]先后提出了较弱的"自连续"、"零可加"、"伪自连续"、"伪零可加"等重要概念,讨论了模糊测度空间上单值可测函数序列各种收敛之间的关系,推广了经典测度论中著名的Lebesgue定理以及其他定理。

The relations among three kinds of structural characteristics of fuzzy measure:(1) pseudometric generating property;(2) pseudometric generating property of type p;(3) null-null additivity,and the convergence for sequence of measurable function on semi-continuous fuzzy measure space are discussed.

李军讨论了下半连续模糊测度的3种结构特性:(1)伪距离生成性质;(2)p类型伪距离生成性质;(3)零-零可加性与半连续模糊测度空间上可测函数序列的收敛性之间的关系。

推荐网络例句

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。