关于一致对称差度量收敛问题的讨论

Discussion for Convergences of Uniform Symmetric Difference Metric

讨论了一致对称差度量 ｄ Δ 与一致 Ｈａｕｓｄｏｒｆｆ 度量 Ｄ Ｈ 收敛性之间的联系，证明了 Ｆｕｚｚｙ 数序列｛ Ａ～ （ｎ）｝按 ｄ Δ收敛于非实型 Ｆｕｚｚｙ 数 Ａ～ 的充分必要条件是｛ Ａ～ （ｎ）｝按 Ｄ Ｈ 收敛于 Ａ～，或收敛于一个与 Ａ～同台的 Ｆｕｚｚｙ 数 Ｂ～ ．

Discuss further the relation between uniform symmetric difference metric d Δ and uniform Hausdorff metric D H about convergence Prove that the array of Fuzzy unmbers { A ～ (n) } convergent to a non real type Fuzzy number A ～ about d Δ if and only if { A ～ (n) } convegent about D H to A ～ or convergent to a Fuzzy number B ～ that has same platform as A ～ (n) .