【摘要】 证明了支集一致有界的 Fuzzy数序列 {A～(n) }按 p -平均对称差度量 dΔp 收敛于 Fuzzy数 A～ 的充分必要条件是 :存在 h∈ [0 ,1] ,使得 {an(λ) }和 {bn(λ) }在 [0 ,h]上几乎处处收敛 ,且∫1h[m( A(n)λ ) ] pdλ→ 0 ( n→∞ ) (此处 ,A(n)λ =[an(λ) ,bn(λ) ]表示 A～(n)的λ -截集 ) ;进而给出了 Fuzzy数序列按 dΔp 收敛时的极限表达式更多还原

【Abstract】 Show for the uniformly support bounded fuzzy numbers sequence｛ A[DD(X-3]～ (n) ｝, there exists a fuzzy number A[DD(X-3]～ such that｛ A[DD(X-3]～ (n) ｝ converges to A[DD(X-3]～ about p mean symmetric difference metric if and only if there exists a real number h∈[0,1] such that ｛ a n(λ) ｝ and ｛ b n(λ) ｝almost everywhere converge on [0,1] and ∫ 1 h[m(A (n) λ)] p d λ→0(n→∞) (where A (n) λ=[a n(λ),b n(λ)] is the λ cut of A[DD(X-3]～ (n) ).Further,give the form of representation of fuzzy number A [DD(X-3]～ when the fuzzy numbers sequence ｛ A[DD(X-3]～ (n) ｝ converges to A [DD(X-3]～ about p mean symmetric difference metric. 更多还原