A note on the space of fuzzy measurable functions for a monotone measure

作者：Wu Chong; Ren Xuekun; Wu Congxin

来源：Fuzzy Sets and Systems, 2011, 182(1): 2-12.

DOI：10.1016/j.fss.2010.10.006

• Monotonic measure
• Fuzzy measurable function
• Topological vector space
• Double asymptotic null-additivity
• Order continuity
• Fuzzy point

In this paper, we give a necessary and sufficient condition to guarantee that the space of all finite measurable functions for a monotonic measure is a topological vector space with a countable local base and in this space convergence with respect to this topology is equivalent to the convergence in measure.

• 出版日期2011-11-1
• 单位哈尔滨工业大学