【摘要】 研究了模糊数空间在一类Lp型度量ρp(1≤p<∞)下的基本性质,讨论了它的拓扑性质,即完备性,可分性以及连通性,得出了模糊数空间(ε1,ρp)(1≤p<∞)是不完备但可分的结论。此外,还证明了模糊数空间(ε1,ρp)(1≤p<∞)是连通的。更多还原

【Abstract】 Not only basic properties but also topological properties,including completeness,separability and connectivity,of space of fuzzy numbers with a kind of Lp metric ρp for 1≤p<∞ are studied.The conclusions that space of fuzzy numbers(ε1,ρp) is separable and connective,but not complete,are proven,where 1≤p<∞.更多还原