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A note on the space of fuzzy measurable functions for a monotone measure |
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| Authors: | Chong Wu Xuekun Ren Congxin Wu |
| Institution: | a School of Management, Harbin Institute of Technology, Harbin 150001, PR China b Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China |
| Abstract: | 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. |
| Keywords: | Monotonic measure Fuzzy measurable function Topological vector space Double asymptotic null-additivity Order continuity Fuzzy point |
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